Test #1, #2 Flashcards

1
Q

What is an Argument and its purpose?

A

An Argument, is a set of statements, where one of them (the conclusion) is meant to be supported by the remaiming statements (the premises)

points and reasons provided are intended to establish and from arguments

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

What is a Premise?

A

It’s a statement (reasons and support) that is offered in support of a conclusion

ex: “why tmu is a great school - and the reasons that follow are premises”

premises are attempting to support conclusion

the reasons that are supposed to support the conclusion are the premises of the argument

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

What is a conclusion?

A

A conclusion is a statement that is held to be supported by one or more premsises

the claim the arguments are intending to make is it’s conclusion

premise: all universities are great places to learn

premise: TMU is a university

conclusion: TMU is a great place to learn

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

What is an assertion?

A

An assertion is something that is IS or IS NOT the case

simply when you have a true or false statement

Assertions are declarative sentences used to convey a
point/message of an argument.

Examples:

“Today is Friday”

“it is not raining”

“she will win the race”

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

What is a proposition?

A

The specific thought or idea that the statement expresses

Propositions are the ideas behind a statement, or the thought that said statement represents.

Propositions can be expressed
through different statements but still convey the same meaning, for example, language– “It’s
snowing” has the same meaning as “Il neige” (French)

It is possible for the same statement to express different propositions depending on who states it, and when and where etc (the context)

At the same time, the same words can express a different
proposition. For example, “There’s a bank on the left”, is it a money bank, or a fishing bank, also who’s left?

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

What are the 2 main points that makeup an argument?

A

the 2 main pieces of your argument,
these being the Premises and the Conclusion. When working with an argument we must give
the reader a logical reason to believe our proposition, this is done through Premises.
Premises are statements that are offered in support of the argument’s conclusion.

In simple
terms, this is the evidence that backs the claim we are trying to make, for example, you’re
trying to explain to your friend why Burger Legend has the best chicken sandwiches around:
“Yeah man, I love burger legend because….”. In this example, any reasoning we use
in support of our claim is the premise of our argument.

The Conclusion is what our
aforementioned premises are supporting. Using the same example, our conclusion/point
we’re trying to make would be the fact that Burger Legend is the best burger place in town.

The Conclusion is the main point, while the premise supports it.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

What is an infrence?

A

It is the mental step of accepting the conclusion on basis of reasons/evidence

an infrence is a process of reasoning from a premise or premises to a conclusion, based on those premises

example: lawyer asking the jury to make an infrence

poor infrence is making a conclusion based on lack of evidence

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

What are the 3 steps of argument analysis? and explain each step

A

Step 0 - Figure out if it is really an argument or not

  • Not all texts or passages contain arguements

a) some texts are just descriptive (eg; a newspaper story of a car acident, a description of a thing) these are NOT arguments

b) some texts just are there to offer an authors opinion, without trying to provide reasons to accept it. these are NOT arguements

  • opnion by itself is not an argument
  • if an opinion is not supported by reasons it is rationally worthless

c) an “if-then” statement by itself, is not an arguement

  • “if it is raining, then the party will be cancelled” - this is not an arguement no supporting evidence, no premise just a statement

step 1 - reconstruct the arguement

  • arguments are not always presented or written in the clearest way.
  • figure out how to identify and clearly display the underlying logical structure of an argument
  • process of interpreting and clarifying an arguement is reconstructing
  • example: polititan making a speech, the arguement is hidden within

step 2 - evaluate the argument

  • Thinking if an arguement is good or not
  • this is NOT evaluating literary merit or rhetorical power
  • use literary merit, rhetorical power, and rational strength to evaluate arguement
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

What are the 3 tools for having a strong arguement?

A
  1. Literary Merit
  2. Rhetorical Power
  3. Rational Strength
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

Explain Literary merit

A

a passage has literary merit when it is well-written. orginal, and interesting

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

Explain Rheotical power

A

an arguement has rhtorical power when it is has a tendency to convince or prsuade

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

Explain rational strength

A

An arguemnt has rational strength when the premises provide good reasons to think that the conclusion is true

This tool uses our human rationale, things like “Hitting people is bad because
of….” the conclusion that hitting people is bad usually clicks in our head, because yeah, assault is bad

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

What is Critical Thinking?

A

Critical Thinking is a system for analysis of arguments
via a rational standard”.

  • it is systematic because it involves sistinct procedures and methods (no gut feelings)
  • it is used to analyze existing arguments of other people and your own and to formulate new ones of your own
  • It’s basically the evaluation of
    arguments based on how well their premises support their conclusions.
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

Why should we think critcally?

A
  • Because we really do care about the truth; about gettig things right and about gaining knowledge; about avoiding false beliefs etc

Our beliefs affect our efforts and how our lives
unfold, beliefs shape who we are and by critically thinking we can “optimise” how we’re shaped in a
way.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

What is knowledge?

A
  • knowledge by acquintance - opprtunity cost
  • knowledge how
  • propositional knowldege

Knowledge, This is simply the belief that something is true and supported by good reason

Knowledge is the understanding or awareness of something that is true. It involves having justified beliefs about facts or concepts. To “know” something typically means:

Belief: You believe it.
Truth: What you believe is actually true.
Justification: You have good reasons or evidence to believe it.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

What is the 3 Key Ingrediants for knowledge? explain each one

A
  1. BELIEF - To think something is true (ex: believing in god)
  • belief is compatible for knowledge and required
  • believing = knowing something & knowing = believing something
  • to truly be knowledgeable about something we must actually believe it’s true
  1. TRUTH - For something to be true
  • if something is or is not the case in reality.
  • not everything is known
  • if it is known by you then it is true
  • ex; (2 + 2 = 4)
  • Objective truth - where it isnt based on perception it’s just true (mostly in science based topics)
  1. JUSTIFICIATION - Good reason to believe that the claim being stated is true
  • Plato agreed that true belief was not knowledge
  • truth and beliefs are not always there for good reason
  • Believe stuff for GOOD reasons
  • ex; go train leaving at 4:15 you believe it leaves at 4:15 but that is not a good reason for belief
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

What are the 4 different views on truth?

A
  1. Realism
  2. Nihilism
  3. Relativism
  4. Philosophical Skeptic
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
18
Q

What is Realism?

A

Realists believe that there is TRUTH in some subject area (ex: math, morality, religion)

  • It involves TWO claims:

i) There are truths in that subject area AND -

ii) What these truths are does NOT depend upon anyones beliefs about them in other words (objective)

In other words, something is true if it matches the way things actually are, even if no one believes it or knows it yet. For example, if a tree exists in a forest, it’s real whether or not anyone is there to see it.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
19
Q

What is Nihilism?

A

Nihilits believe that there is NO TRUTHS about anything

i) there just are no truths in any certain field, or area of topic

In short, nihilism denies that there are any absolute truths or higher purposes to life.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
20
Q

What is Moral Nihilism

A

the view that moral statements have NO truth-value, they are neither true nor false

Moral nihilism is the belief that there are no objective moral truths—no actions are inherently right or wrong. According to moral nihilism, ideas of “good” or “bad” are just human-made concepts, and there’s no universal moral standard that applies to everyone.

In short, moral nihilists think that morality is meaningless or subjective, and nothing is truly right or wrong on its own.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
21
Q

What is some pros and cons to realism?

A

The main drawback to realism is that it is implausible; does not work well in some areas (humour, beauty) relativism would be more plausible

Pros of Realism:

  1. Grounded in facts: Realism is based on the idea that truth exists independently of our beliefs, which encourages evidence-based thinking and objectivity.
  2. Reliable view of the world: It helps us understand the world as it really is, which can be useful for science and everyday life.
  3. Consistency: Since realism believes in an objective reality, it promotes stability and consistency in how we view and interact with the world.

Cons of Realism:

  1. Overlooks personal experiences: Realism focuses on external truths and may ignore how individuals experience the world differently, which can be limiting in areas like art, culture, or subjective experience.
  2. Rigid thinking: It can lead to a rigid view of the world, not allowing for flexibility or different interpretations of reality.
  3. Difficulty in moral issues: Realism struggles to account for subjective areas like morality, emotions, and personal values, where objective truths might not be clear.

We should be realists only in certain fields such as:

  1. Science
  2. History

We should not be realists in areas such as:

  1. Morality
  2. Art & Literature
  3. Personal Beliefs & Values
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
22
Q

What is some pros and cons of Nihilism?

A

Pros:

  1. freedom from societal expectations

Cons:

  1. Self Defeating/Contradictory - deny’s and claims no truth of everything but finds truth and believes in Nihilism)
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
23
Q

What is Relativism?

A

Relativists agree that there is truth in some domains

i) there are truths in the subject area but -

ii) what the truths are depends upon (relative to) what we (for someone) believes them to be

this is by far the most common way of thinking. A
prime example of this is religion, some people believe that it has truth while some don’t.

there are 2 types of relativism -

  • Subjective
  • “that’s true for me”
    “thats my truth”

Subjective is based on an individual person’s beliefs,
for example the belief that stealing from large enough companies is okay, or lying is good in certain
circumstances (stuff like morals and ethics).

-social

“thats true for us”
“thats our truth”

Social Relativism is based on the thoughts of a
community/society (similar topics)

For example, what one culture thinks is morally right might be seen as wrong in another culture, and relativism says both perspectives can be valid.

In short, relativism means that truth and values are flexible and change depending on different viewpoints or contexts.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
24
Q

What is the pros and cons of relativism?

A

Pros:

  1. Makes it easier to co-exist
  2. Flexibilty

Cons:

  1. Implausible - implies that people can’t be wrong about anything
  2. Easy to contradict yourself
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
25
Q

What is Philosophical Skepticism?

A

Not a view about truth, primarily about knowledge.

someone who thinks truth exists and they are objective

i) statements have truth-values but -

ii) we don’t know what most or all of them are

in other words, we know a lot less than we think, or nothing at all

skeptic believes in truth, and belief but skeptic does not believe in justification

unless all your beliefs can be proved that it is not a dream or simulation, skeptic says belief is not justfified

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
26
Q

why do people hold the view of philosophical skepticism?

A
  1. Dream Hypothesis
  2. Evil Genius Hypothesis
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
27
Q

Explain the dream hypothesis

A

The dream hypothesis is the idea that we could be dreaming at any given moment and that our current experiences might not be real. It suggests that, just like in dreams, what we perceive could be an illusion, making it hard to tell the difference between dreaming and waking life.

“how do we know i really went to class this morning? i couldve been dreaming”

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
28
Q

Explain the Evil Genius hypotheis

A

The evil genius hypothesis (or evil demon hypothesis) is a thought experiment by philosopher René Descartes. It suggests that an all-powerful, deceptive being (an “evil genius” or “evil demon”) could be tricking us into believing that the world around us is real when it’s actually an illusion. This being could manipulate our thoughts and senses, making us doubt everything we think we know.

In short, the evil genius hypothesis questions whether we can trust anything, as a powerful deceiver could be controlling our perceptions and thoughts, making reality itself uncertain.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
29
Q

Explain the cohernce model of truth, and it’s drawback

A

This model of truth states that propositions are only true if it is Coherent/Consistent with
known beliefs/systems of well supported statements, hence the name Coherence Model.

For example,
you’re in Kray Klasses 500 man lecture hall and you propose that the class has more than 6 people in

via the Coherence Model you would be spreading a truthful statement due to the fact it is inline
with A: What we see and B: fits coherently with beliefs we already have.

Despite how clear and easy this theory is, its main drawback is that when it comes to developing new things/theories they won’t pass the test due to their lack of consistency with currently
existing theories, does that mean that they’re not true, of course not but the theory says so.

Another
main drawback is the idea that just because something is coherent with current views means that it’s
“true”, for example things like conspiracy theories.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
30
Q

What is Issac Watts 4 types of argument respondents

A
  1. Contradiction person
  2. Dogmatist
  3. Skeptic
  4. credulos person
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
31
Q

Explain the Credulos Person

A

A credulous person is someone who is very gullible and easily believes things without questioning them or looking for evidence. They tend to accept what they are told at face value, even if it might not be true.

as long as it sounds convincing enough

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
32
Q

explain the contradiction person

A

person of contradiction is someone whose beliefs, actions, or statements often conflict with each other. They may say one thing but do the opposite, or hold views that don’t logically fit together.

They argue with everything they hear, and disagree

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
33
Q

explain the dogmatist

A

dogmatist is someone who holds strong, rigid beliefs and refuses to change them, even when presented with new evidence or arguments. They are very certain they are right and are not open to considering other viewpoints.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
34
Q

Explain the “issac watt” skeptic

A

The issac watt skeptic “believes nothing” and is afraid to give assent to anything”

sceptic of everything, doesn’t
believe anything out of fear of being mistaken.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
35
Q

Explain what an Arguement stopper is

A

Variety of quick responses to arguements that have the effect of cutting off discussion and preventing careful analysis

ex:

  • “thats a matter of opinion”
  • “Let’s agree to disagree.” (avoids resolving the issue)
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
36
Q

Explain the One truth value theory

A

Propositions is true if it describes things as they actually are, this would deem it a True proposition, while the opposite would be a False propositions.

These are truth values and according to
the One Truth Value Theory, it’s basically the idea that a statement can only have one truth value, things are either True or False.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
37
Q

what are the drawbacks of skepticism?

A
  1. requiring absolute certainty for a belief to count as knowledge seems to be asking too much
  2. skepticism about everything is self-defeating.
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
38
Q

Explain Belief

A

Belief is a key part of knowledge, before we can even start trying to understand if a statement is considered knowledge, we need to understand belief.

There are 3 main points when believing a
proposition
1- Believe what is being offered
2- Disbelief what is being offered
3- Suspend Judgement (neither)

At a given time, only one of these 3 options can be pickled. Belief can generally be referred to as 2 main things.

Firstly, personal thoughts and personal feelings, for example there are things we
believe in more than others, some people have stronger belief in something like politics than what they’re gonna have for lunch today. Secondly controversial things that aren’t particularly known yet/
things that can be known

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
39
Q

Explain the rational thinker

A

They try their best to understand the information they recieve and form conclusions based on that information

they do 3 things.

Distinguish genuine arguments

Understand and interpret arguments

Evaluate Arguments

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
40
Q

What are the 5 things that get in the way of argument analysis

A
  1. Inadequate Vocabulary
  2. Fear of tolerence & open minded roles
  3. Misunderstanding the point of argument analysis
  4. misconceptions about truth and reality
  5. reliance on argument stoppers
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
41
Q

Explain what an Interrogative sentance is

A

To ask questions we use interrogative sentences such as:

  1. Whatb time is it?
  2. Did you feed the dog?
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
42
Q

Explain what a imperative sentence is?

A

To give commands we use imperative sentences

  1. Tell me the time!
  2. Feed the dog!
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
43
Q

Explain what a declarative sentence is

A

To describe things, we use declarative sentences

  1. Some gardeners do not use pesticides
  2. I fed the dog
  3. Nixon resigned from president in 1974

DECLARATIVE SENTENCES ARE ALMOST ALWAYS THE ONES WE USE FOR ARGUMENTS

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
44
Q

Explain the truth and correspndence to the facts “Basic Idea”

A

To say something is “true” is to say something is the same as the sentence describes. For example in
(7) in the textbook, the statement “Richard Nixon resigned from the presidency in 1974” is made, this
statement would be “true’ if Nixon truly did resign in 1974. And if Nixon truly didn’t resign in 1974
then the statement would be “false”.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
45
Q

Explain the correspondence principle

A

Sentence is only true when it corresponds to the facts (of the world)

Sentence is only false when it fails to correspond to the facts

Some issues/examples lead people to reject CP

Sometimes some details of its formulation can cause misunderstandings/fail in argument analysis

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
46
Q

Explain the mistaken objection

A

-Example: “The Earth is flat” (believed by people during ancient times)

  • Believed this because the Earth looked flat, and experts agreed
  • Even though we know it is not true (based on scientific evidence), during their times it was definitely true for them
    When it comes to discussion like this, people tend to say different POVs are “true for” the various participants in the controversy

n the case of people once believing the Earth was flat:

The belief was based on what they could see and what experts of the time agreed on, making it their “truth.”
From their perspective, this made sense, and it shaped how they understood the world.
However, with scientific advancements (like discovering the Earth’s curvature through exploration and later space travel), we now know the Earth is round, so the old belief is false from an objective standpoint.
This example illustrates how “truth” can be seen differently depending on knowledge, context, or available evidence. What was “true for” ancient people was based on their limited understanding, but science corrected this mistaken principle. It shows how people’s perspectives are shaped by the knowledge and consensus of their time, even when later shown to be incorrect.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
47
Q

Explain improving upon the basic idea

A
  • A declrative statement is only true provided it correctly describes the world
  • To understand how to modify the correspondence principal we need to make two points:
  1. A distinction between sentence tokens and sentence types
  2. sometimes two sentence tokens of the same type are used to express the very same thought or idea
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
48
Q

explain what a sentence token is

A

sentence tokens are specific utterances or inscriptions such as marks on paper or the chalkboard

in other words Sentence tokens refer to specific instances where a sentence is either spoken (an utterance) or written down (an inscription, like marks on paper or on a chalkboard). Each time you see or hear the sentence, that’s a different sentence token, even if the words are the same.

A sentence token is just a single instance of a sentence. Think of it like a copy of a sentence that is actually spoken or written down. If you say or write the same sentence multiple times, each time it’s said or written, it counts as a different “token.”

For example:

“The dog is happy.”
If you say or write this sentence five times, each one is a separate sentence token, even though the words are the same.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
49
Q

What is a sentence type

A

Sentence types are the patterns that tokens follow; they are kinds, or types of sentence

In other words A sentence type is like the idea or plan for a sentence. It’s the same no matter who says it or writes it. For example, the sentence “I like ice cream” is a sentence type, and anyone can say it or write it, but it stays the same idea.

In short, a sentence type is the basic plan for a sentence, no matter how or when it’s used.

50
Q

What are the 3 main types of cognitive attitudes you can take towards a proposition?

A
  1. Belief
  2. Disbelief
  3. Suspension Of Judgement
51
Q

Explain Belief and Truth

A

When a person believes a proposition, they believe that the world is a particular way - the way the proposition says it is.

The belief can be considered true if the world is actually the way the proposition says it is, when the world isn’t the way they believe it to be, then the belief is therefore false

The crucial point is that whether your belief is true depends NOT at all on how strong your belief is. It depends entirely on whether your belief accurately describes the world

52
Q

Explain Belief and Disagreement

A

To believe a proposition is the same as to believe that it is true Ex: Believing that there is truth on Mars is the same thing as believing that it is TRUE that there is life on Mars

To believe a proposition is to believe that the world is the way that the proposition says it is. It is not to think that it would be good if the proposition were true or to hope that it is true

53
Q

Explain to believe and disbelieve a proposition

A

To BELIEVE a proposition: is to believe that it really is true and things are the way the proposition says they are

To disbelieve a proposition is to believe that the proposition is false and that the world really isn’t the way the proposition says it is

54
Q

What is the standard form of arguements?

A

listing each premise on a separate numbered line

  1. First premise
  2. second premise
  3. ## Third premise*4. Conclusion
55
Q

What are the 4 main reasons for using the standard form?

A
  1. Writing in standard form helps you avoid including steps in the argument
  2. Sometimes people don’t bother to write down all of their assumptions, and reasons in arguments
  3. People often state their premises and conclusions in obscure, misleading, or imprecise ways
  4. When argument’s are written in standard form, you can easily refer to the premises and conclusion
56
Q

Explain argument analysis

A

The whole project of extracting arguements from prose passages and putting them in standard form, and then deciding whether these arguements are good arguements is arguement analysis

57
Q

What are the 2 main steps of argument analysis

A

Arguement Analysis can be brocken down into two Main steps:

  1. Reconstructing the arguement - process of taking a prose passage and rewriting the arguement it contains in Standard form.
  2. Evaluating the arguement - you decide whether the arguement Outlined during the first Stage is a good arguement
58
Q

Explain a well-formed argument

A

Any argument whose concusion does follow from its premises is a Well formed arguement.

There are 2 kinds of well-formed arguments

59
Q

What are the two kinds of Well-formed arguments

A
  1. Deductively Valid - impossible for the premises to be true and the conclusion false. This is known as a simply valid argument
  2. Inductively Cogent - Premises merely make the conclusion probable. This is simply known as a cogent argument
60
Q

Explain validity simply

A

An arguement is valid if and only if it is impossible for the premises of the arguements all to be true, and the conclusion of the arguement to be false

OR

An arguement is valid if and only if the following condition holds: necessarily, if the premises of the argument are all true, then the conclusion is true as well.

By either definition, in a valid argument the truth of the premises guarantees the truth of the conclusion

61
Q

For the following example state:

  • the conclusion
  • the validity of the argument
  • explain why
  1. Bob is a student at TMU
  2. All Students at TMU Voted
    —————————————-
  3. ?
A

*3 Bob voted (from #1,2)

Argument #4 is valid, it’s impossible for premises 1,2 both to be true and conclusion 3 to be false

62
Q

Why should you not sneak in additional information that connects premises to the conclusion even if the info is obvious?

A

Use the following example to explain this:

Argument 5:

  1. Pluto is a planet
    —————————
    *2. Pluto is more than two feet in diameter

It might be obvious that all planets are more than two feet in dimeter, and thus if (1) is true, then (2) is also true. However (1) by itself does not guarantee that (2) is true, so argument #5 is NOT VALID

An expanded version of argument 5 would be VALID:

Argument 5a:

  1. Pluto is a planet
  2. All Planets are more than 2 feet diameter
    ——————————————
    *3. Pluto is more then 2ft in diameter

Although #2 is obvious, it needs to be stated to make the argument valid

63
Q

Explain Patterns of arguments

A

A pattern of arguement dispiays: the under/ving form or logical Structure of an arguement. It is the pattern of an arguement that it follows that determines lineter or not it is valid

Argument 4 pattern:
1, x is an A
2. All As are Bs

  1. X is a B

Exampie 4: Biz-E makes a phone call but hears someone on the line either it’s his Wife or child, but sees the child outside so he concludes its his wife.

Arguement 6:

  1. Either My son is on the phone or My wife is
  2. It is not the case that My 500 is on the phone

*3. My wife is on the pinone

The pattern for the arguement looks like:
1. Either p or Q
2. ~P (P isn’t true)

*3. Q

64
Q

Explain Predicate logic

A

Thus in the pattem for Arguements 4 and 5a we had a letter for standing for the names “Boris and Pluto” X, and the letters. A and B Standing for the predicates (descriptive phrases) “ is a Student “ “is a planet” and so on. This Sort of arguemont represents “predicare logic”

OR

Predicate logic is a way to describe how objects (things) relate to each other or have certain properties.

Here’s a simple breakdown:

Objects: The things or people we are talking about.
Predicates: The properties (descriptions) or relationships between those objects.

65
Q

Explain the principle of proportional belief

A

Proportion your beliefs to the evidence, the more evidence you have in favour of a proposition being true, the more confident you should be that it is true

It is rational to proportion the strength of one’s beliefs to the strength of one’s evidence. The stronger one’s evidence for the truth of a proposition, the stronger one’s belief in it should be (and vice versa)

66
Q

Explain Fallibilism

A

The view that a belief can be Rational, justified, reasonable even though it is false

Ex: good reason for believing the bus will come at 10am, looked at the schedule, but the bus came at 11am, had good evidence but the bus did not come when you believed it - therefore your belief was false but there was good reasons to have that belief and it was R/J/R

Important difference between believing whether something is true, and whether there are good reasons for believing it, you could have good reasons for believing something that is actually false

67
Q

Explain the differences in evidence/changes in evidence

A
  1. Two people may have different evidence available to them (about some proposition) and so it may be rational for them to disagree (about whether that proposition is true)

might have different evidence, so it’s rational to believe different things ex: toast for breakfast one knows it from memory, another might suspend judgement, because theres no way for them to know

ex: two detectives look at different evidence so they could come to different conclusions and beliefs - different evidence may make different beliefs rational - although in a disagreement there can be one person right but it’s rational to disagree

  1. An individual person’s evidence may change over time, and so different beliefs may be rational for them at different times

ex: earth is flat, but new evidence surfaces to change beliefs

ex: sue’s belief about Jone’s character

Tuesday: she sees jones being a good person
Wednesday: She sees jones being a bad person

Sue got new evidence, so the rational thing for her to do is revise her beliefs about Jones character

Base your beliefs on the evidence, so if evidence change’s it’s rational for your beliefs to change as well

68
Q

How much evidence is needed for a belief to be R/J/R?

A

In general to be R/JR beliefs have to be based on enough of the right kind of evidence

What kind of evidence depends upon the context

ex: telling someone you were sick over the weekend, it is reasonable to take them on their word and believe they were sick - Now a student telling a prof they were sick and missed a test, in this case that is not enough evidence the university and prof expects some evidence to prove that. Therefore the evidence needed depends on the context.

^ That situation can be used to explain the “the higher the stakes rule”

basically, the higher the ‘stakes’ the more evidence is required for a belief to be rational, justified, reasonable.

Ex: OG simpson murder trial = high stake which needs more evidence, while a civil stake is low stakes which requires less evidence - found innocent on murder trial but found guilty in civil court

69
Q

Explain some of the ways that beliefs can be Irrational, Unjustified, Unreasonable (I/U/U)

(A & B) (4 reasons for it)

A

A. Motivational Errors - Being excessively influenced by what we want to be true or false, rather than focusing on the relevant evidence

eg: lottery ticket; really hope to win - desire. Believing that you will win just because you want to win is irrational, unjustified, unreasonable - why? because not evaluating all the evidence (lottery ticket odds low) extremely high chance you will lose

B. Failing to weigh all the available evidence properly

  1. Ignoring some of the available evidence entirely - if we know about the evidence we MUST factor it in, it is Irrational, unjustified, unreasonable to simply ignore it

eg: calculating grade ignoring final exam mark - why? final exam is needed to determine grade Ex: detective ignoring evidence

2.. Failing to weigh all the available evidence properly (aka: disconfirmation bias) - looking at all the evidence but not giving it it’s proper weight.

eg: got a bunch of evidence for and against a proposition, tendency to think true, see contrary evidence but don’t hold it to much regard because it goes against what you think or what you want to think - to place less value then you should on the evidence that is against your view

3.. Over-valuing contrary evidence (aka: confirmation bias) - it is to give too much weight to the evidence that supports your view that you already hold or the view that you want to be true - overvaluing confirming evidence bias in favour of evidence that confirms your view, under-valuing or being excessively critical of contrary evidence

4.. Over-valuing “Psychologically available” evidence - Human tendency to put too much evidence that is easy to get , or that is vivid or memorable. Some evidence is harder to hold before our minds/harder for us to get and it might count for just as much but we tend to prioritize or give more weight to the evidence that is vivid or easy to understand or remember - not rational - giving too much weight to memorable or vivid evidence

eg: scared of flying because you seen terrible plane crash on the news, but the % of plane crashes to successful flights is low, so it is not rational to be scared just based on that

70
Q

Explain the Truth and rational strength of arguments

A

An argument is a set of statements, one of which the conclusion is taken to be supported by the remaining statements (the premises) premises and conclusions may be true, or they may be false

Based ON that

Evaluating the truth-value of premises and conclusions is distinct from evaluating the rational strength of arguments - It’s one thing to ask if these statements are true or false, it’s another thing to ask the more subtle question - if those statements were true what would that mean for the third? what’s the logical connection between the premises and the conclusion

Example:

  1. TMU is located in Guelph, ON
  2. ## Kerr Hall is located on the campus of TMU*3. Kerr Hall is located in Guelph, ON (from #1,2)

^^DEDUCTIVELY VALID ARGUMENT

  • There is an important connection between the premises and the conclusion
  • IF #1,2 ARE TRUE, #3 WOULD HAVE TO BE TRUE
  • This argument is in standard form, to put an argument in standard form, is to take an argument figure out what the reasons are, what conclusion its supporting and put it in that above ^ format. That process is known as reconstructing the argument
71
Q

What are some advantages of using standard form?

A
  • Excludes logically irrelevant material - set aside everything else
  • Allows us to make assumptions explicit
  • Provides clarity and ease of reference

In short; it provides a clear reconstruction of the argument, and this is essential to properly evaluate the argument

72
Q

What are the 2 kinds of arguments?

A
  1. Deductive
  2. Inductive
73
Q

What is a deductive argument

A

It is an ambitious type of argument that attempts to show that the conclusion MUST be the case. Tries to show if the premises are TRUE, then the conclusion has to be true as well.

show the truth, max logic more ambitious

74
Q

Explain Deductive Validity

A

An argument is deductively valid if and only it is not possible for all the premises to be true and the conclusion false.

ex; TMU Kerr hall in guelph

In other words

If all the premises were true, the conclusion would have to be true too

the conclusion logically follows from the premises

Validity is just a feature of arguments - Conclusions, premises, statements can be neither valid or invalid, validity does not apply to those

Validity = to a specific feature that arguments either have or lack, arguments as a whole

validity does not equal true premises, argument is considered valid if the premises were true the conclusion would have to be true - more about the connection between the premises and the conclusion then wether or not the premises and conclusion are actually true or false

EXAMPLE OF A VALID ARGUMENT

  1. All bachelors are unmarried
  2. ## Ivan is a bachelor*3 Ivan is unmarried (#1,2)

If BOTH #1,2 are true then it only makes sense the conclusion must be true. That is what makes this argument valid.

You arent trying to identify if both premises are true individually, but rather if they were true, what would that tell us about the conclusion

Validity is about the logical connection between premises and a conclusion. Arguments as a whole are either valid or invalid

75
Q

Give an example of an Invalid argument + explain what an invalid argument is

A

An invalid argument:

  1. Some politicians are crooks
  2. ## Professor Kraay is a politicians*3. Prof Kraay is a crook (from #1,2)

So that is invalid because even if the 2 premises were both true, they do not guarantee that this conclusion is true

Its also invalid because it is possible for the first 2 premises to be true, while at the same time the conclusion is false

76
Q

How to test whether an argument is valid or not

A

Hold before your mind all of the premises, and you pretend/imagine that they are all true as a kind of thought experiment. You suppose that all these things are true and then you think, would they guarantee that the conclusion is true? If yes then the argument is valid. If no then the argument is invalid

THE VALIDITY TEST:

Imagine/suppose that the premises are all true. Assuming this, would the conclusion have to be true as well?

If the answer is “yes”, then the argument is Valid
If the answer is “no”, then the argument is Invalid

There is no degrees of validity, must just be a straight answer

Remember a valid argument doesn’t have to have true premises, and it doesn’t have to have true conclusions either: what’s important is the logical relationship between the premises and the conclusion

ex:

  1. All olympic athletes are ten-feet tall (false)
  2. ## Prof Bob is an olympic athlete (false)*3. Prof Bob is ten feet tall (false)

all the premises and the conclusion is false, but it is still a valid argument none the less

77
Q

Give examples of valid arguments that follow the following formats:

  1. False Premises, False Conclusions
  2. False Premises, True Conclusions
  3. True Premises, True Conclusion
A

False Premises, False Conclusions

  1. All Human beings can fly
  2. ## All things that can fly are red*3. All human beings are red

False Premises, True Conclusions

  1. All dogs are reptiles
  2. ## All reptiles are mammals*3. All dogs are mammals

True premises, true conclusion

  1. If you’re taller than 10ft, you’re taller than 5ft
  2. ## If you’re taller than 5ft, you’re taller than 2ft*3. If you’re taller than 10ft, you’re taller than 2 ft

In fact we do not even need to know the truth-value of the premises and conclusions in oder to know that an argument is valid.

78
Q

What are the 5 sentential connectives?

A
  1. Conjunction
  2. Disjunction
  3. Negation
  4. Conditional
  5. Biconditional
79
Q

Explain Conjunctions

A

Conjunctions are simply 2 part sentences

A conjunction is a statement of the form:

P & Q

P= Sentence of anything
Q = Sentence of anything

Ex: P= My birthday Q = I’m happy = Conjucts

so therefore: It’s my birthday (P), and i’m happy (Q)

“It is sunny and today is Thursday”

Conjunctions are compound statements, composed of two parts called the CONJUCTS

80
Q

Explain Disjunctions

A

A disjunction is a statement of the form:

EITHER P OR Q

P v Q - ‘v’ represents ‘or’

ex: either a donut OR a muffin

Either the picnic was cancelled OR it was sunny

Either Jones committed the murder OR the butler did

  • any ‘or’ statement can use P v Q
  • There does not have to be any correlation at all (ex: Monkey likes bananas, and the weather is bad)

Disjunctions are compound statements composed of two parts called the DISJUNCTS

81
Q

Explain Negation

A

Negation is just simply known as ‘not true’

A negation is a statement of the form:

NOT P. ‘∼’ = false/not

ex: God exists - The negation would be that: God does NOT exist

it is the claim that something is not true or that it is false

ex:

It is NOT ( ∼) Sunny (p)

82
Q

Explain Conditional

A

Conditional is just simply an ‘if then’ statement

A conditional is a statement of the form

IF P THEN Q

P → Q the “ →” = if then, Q is guaranteed to happen if P happens

ex: If I study (P), then I will pass (Q)

  • If i order donuts, then people will be thirsty

examples:

If it rains, (antecedent p) then the picnic will be cancelled (consequent q)

If Jones committed the murder (antecedent p), then the butler is innocent (consequent q)

conditionals are compound sentences made of 2 parts:

(P) The Antecedent - what follows the word “if”

(Q) The Consequent - what follows the word “then”

  • if the antecedent is the case, then the consequent will be the case

Note: conditionals do not assert that either the antecedent or the consequent

  • Claims a logical connection between 2 things
83
Q

Explain the point about “If” vs “Only if”

A

The word “if”, by itself, introduces the antecedent, no matter where it occurs in a statement.

“If I skip class, then I’ll find the course material difficult”
(Antecedent First)

“I’ll find the material difficult if I skip class”
(Antecedent Second)

Both of those have the same meaning, same logic just worded differently

“Only if” = Introduction of the consequent
what comes after the “only if” is the consequent

The expression “only if” introduces the consequent, no matter where it occurs in a statement

Example:

“Only if the price drops I will buy the giant TV”
“I will buy the giant TV only if the price drops”

Those are equivalent, and should be written as:

B → P

84
Q

Explain Biconditionals

A

Biconditonals are simply “if and only if” statements

A biconditional is a statement of the form:

P IF AND ONLY Q”
(If P, then Q) (If Q then P)

  • If and only very strong connection
  • Any two statements can be stuck in a biconditonal

Ex:

You can enter the club IF AND ONLY you have legitmate ID

85
Q

Explain Argument by elimination

A
  1. P or Q
  2. ## ∼P*3. Q
  3. P or Q
  4. ## ∼Q*3. P

INVALID PATTERNS:

  1. P or Q
  2. ## P*3. Q
  3. P or Q
  4. ## Q*3. P

**These have NO correlation, the conclusion does NOT follow so therefore it’s NOT valid.

  1. P v Q
  2. ## P*3. ∼Q
  3. P v Q
  4. ## Q*3. ∼P
  5. Either Lefty or Righty committed the crime
  6. ## Lefty Committed the crime*3. Righty didn’t commit the crime

^^ This does NOT follow, could have worked together (lefty, and righty)

86
Q

Explain Simplification Pattern

A
  1. ## P & Q*2. P
  2. ## P & Q*2. Q
87
Q

Explain Affirming the Antecedent (Modus Ponens)

A
  1. If P then Q
  2. ## P*3. Q

Any sentence that follows this structure will always be a valid argument

  1. Being a teenager means you have problems
  2. ## You are a teen*3. You have problems
  3. If TMU is a great school then many students apply
  4. ## TMU is a great school*3. Many students apply there
88
Q

Explain Denying the Consequent (Modus Tollens)

A
  1. If P, then Q
  2. ## ∼ Q*3. ∼P

ex:

  1. If jim committed the murder, he used his gun on tuesday
  2. ## Jim did not use his gun on tuesday*3. Jim did not commit the murder
89
Q

Explain why Denying the Antecedent is invalid

A
  1. If P then Q
  2. ## ∼ P*3. ∼ Q

Ex:

  1. If einstein invented the computer then he’s a genius
  2. ## Einstein did not invent the computer*3. He’s not a genius

INVALID - Because he could be a genius for other things. Even if both are true, they still don’t guarantee the conclusion

90
Q

Explain why Affirming the Consequent in invalid

A
  1. If P then Q
  2. ## Q*3. P

Ex:

  1. If einstein invented the computer, then he’s a genius
  2. ## Einstein is a genius*3. He invented the computer

INVALID - This does not follow from the premises. Theres another way the conclusion is true.

Even if #1,2 are true, still does NOT guarantee the conclusion

91
Q

Explain Hypothetical Syllogism

A
  1. If P, then Q
  2. ## If Q then R*3. If P, then R

Example:

  1. If Donald Trump loses the election(P), Kamala Harris wins the election(Q)
  2. ## If Kamala harris wins the election, her supporters will be happy*3. If Donald Trump loses the election, Kamala Harris supporters will be happy

Valid sentence structure

THE FOLLOWING ARE ALL INVALID

  1. If A, then B
  2. ## If C then B*3. If A, then C
  3. If B, then A
  4. ## If B, then C*3. If A, then C
92
Q

Explain Contraposition

A
  1. ## If P, then Q*2. If ∼Q, then ∼P

^^ VALID

Example:

  1. ## If Donald Trump loses the election(p) Kamala Harris wins(q)*2. If Kamala harris doesnt win, then Donald Trump doesnt lose the election

If the first premise is true, the second one will be

93
Q

Explain Universal Modus Ponens (Affirming the antecedent)

A
  1. All As are Bs
  2. ## x is an A*3. x is a B

Capital letter = statements
ex: god exists, then everyone goes to heaven

Small letter = entity, person, or thing

Example:

  1. All students(As) are hard-working(Bs)
  2. ## Omar(x) is a student(A)*3. Omar(x) is hard-working(Bs)

^^Valid

94
Q

Explain Universal Modus Tollens (Affirming the consequent)

A
  1. All As are Bs
  2. ## x Is not a B*3. x is not an A

Example:

  1. All students(A) are hard-working(B)
  2. ## Omar(x) is not hard-working(B)*3. Omar(x) is not a student(A)

^^Valid

95
Q

Explain Universal Ruling Out

A
  1. No As are Bs
  2. ## x is an A*3. x is not a B

Example:

  1. No children(A) are perfectly behaved at all times(B)
  2. ## Jacob is a child*3. Jacob is not perfectly behaved at all times

^^Valid

96
Q

What is a inductive argument?

A

They are modest arguments that aim to show if the premises are true, the conclusion is likely or probable

Not all arguments are deductive, in some cases, premises are intended to give PROBABLE not CONCLUSIVE support for the conclusion. These are known as inductive arguments

examples of inductives:

  • weather channel never saying 100% chance of rain
97
Q

What is Cogency?

A

An argument is cogent if and only if it is not valid, but the premises of the argument are good reasons for the conclusion

Or in other words

An argument is cogent if and only if it is not valid, but if all the premises are true, the conclusion is probably true

otherwise the argument is non-cogent - like validity, cogency is a feature of inductive arguments that they either have or do not have

  • It is a test similar to validity, but cogency applies to inductive
98
Q

Explain/Give examples of cogent arguments

A
  1. Quitting smoking tends to improve one’s health
  2. ## Mary has quit smokingTherefore PROBABLY,
    *3. Mary’s health will improve
  • Not a valid argument, but the premises make the conclusion probable.
  • premises cannot guarantee the conclusion, so its not a valid argument.
  • It is cogent because the premises make the conclusion probable (improving health from quitting smoking)
99
Q

Explain/Give examples of non-cogent arguments

A
  1. A few police officers are corrupt
  2. ## Jim is a police officerTherefore PROBABLY,
    *3. Jim is corrupt
  • This argument is non-cogent because the conclusion is not probable from the premises
  • If the premise said “most” instead of some, it would be cogent (only a “few” does not make it probable)

REMINDER*

A cogent argument doesn’t have to have true premises, and it does not have to have true conclusions either. what’s important is the logical relationship between the premises and the conclusion (if the premises are true, the conclusion is likely)

  1. Most chairs have 10 legs (false)
  2. ## PM Justin Trudeau is a chair (false)Therefore PROBABLY,
    *3. Justin Trudeau has 10 legs (false)

^This argument has two false premises and a false conclusion, but nevertheless it is cogent

100
Q

Explain the cogency test

A

Imagine/suppose that all the premises are all true. Assuming this, is the conclusion likely to be true as well?

if the answer is yes, then the argument is cogent
If the answer is no, then the argument is non-cogent

similarly to validity test, it is checking for a feature of a argument

When testing for cogency, the issue is not whether the premises and the conclusion are actually true or false; its whether the premises if all true would they make the conclusion probable

101
Q

What are the common patterns of cogent arguments

A
  1. Most As are Bs
  2. ## x is an A*3. x is a B
  3. Most professors(A) have PhDs(B)
  4. ## Kraay(x) is a prof(A)*3. Kraay(x) has a PhD(B)

^ not a valid argument, but if both the premises are true it makes the conclusion probable so it’s cogent

  1. X is an A
  2. X is a B
  3. ## Most ABs are Cs*4. x is a C
  4. Kraay is right-handed
  5. Kraay is a professor
  6. ## Most right-handed professors are nice*4. Kraay is nice

**It is worth noting that while Validity does not come in degrees, it is either valid or not, - cogency does come in degrees; one argument can be more or less cogent than another (the more cogent it is, the more probable the conclusion is given the premises and vise-versa

Ex; Validity is like a light switch On/Off

51%-99% more probable than not

102
Q

What the common patterns of Non-Cogent arguments

A
  1. Most As are Bs
  2. ## x is not an A*3. x is not a B
  3. Most professors have PhDs
  4. ## Zola is not a professor*3. Zola does not have a PhD

prove that premises do not make conclusion likely = non cogent

COGENT:

  1. Most As are Bs
  2. ## x is a B*3. x is an A
  3. Most professors have PhDs
  4. ## Zola has a PhD*3. Zola is a professor
103
Q

What do you call an argument that are invalid and non-cogent?

A

They are called ill-formed; neither cogent or valid arguments because the premises do not guarantee that the conclusion is true or even probable

ex:

  1. Today is Tuesday
  2. Monkeys like bananas

^Bad argument it is ill-formed

104
Q

What kind of arguments fall under Deductive arguments

A

Invalid or Valid arguments

105
Q

What kind of arguments fall under Inductive arguments

A

cogent or non-cogent

106
Q

What is deductive strength

A

An argument is deductively strong (for a person at a time) if and only if it is

a) Valid AND

b) R/J/R for the person to believe that all of the arguments premises are true based on the available evidence

strength - relative to evidence people have
validity - not subjective, either is or isn’t (subjective)

Ex:

  1. Toronto is located within Ontario
  2. ## Ontario is located within Canada*3. Toronto is in Canada

^Have enough evidence to believe the premises and premises are true then conclusion must be true, so theres good reason to believe argument

If an argument is not strong it is weak

107
Q

Explain how deductive strength can be weak (for a person at a time) in 3 ways

A
  1. Invalid
  2. Not rational/justified/reasonable for the person to believe one or more of the arguments
  3. Both 1 + 2

ex: chicken noodle soup
- need chicken
- need noodles

without one or both you do not have soup

108
Q

Can a valid argument be strong? weak?

A

Yes, it is reasonable to think that premises are false but it can still be a valid argument

A strong argument, it must be valid. Not possible for a strong argument to be invalid because it must follow the R/J premises

example of a valid but weak argument:

  1. If you’re a musician, you must be talented
  2. ## If you’re talented, you’re never modest*3. If you’re a musician you’re never modest

^Not rational premises for us to believe, weak but valid argument, valid because if premises are both true, conclusion is true or followed - would have to be true

109
Q

Why can an argument be deductively strong for one person, but not for another?

A

Depends on how much evidence a person has a time to believe or not believe the argument is valid, but it is possible for not finding it strong

110
Q

An argument can be deductively strong for a given person at one time but not at another time why?

A

A person may get more evidence or lose confidence at different times

ex: strong on Tuesday, weak on friday

if it is rational/justified/reasonable to believe that all the premises of a valid argument are true, then it is rational/justified/reasonable to believe that the conclusion is true as well

Rationality/justification/reasonableness comes in degrees so the more r/j/r it is to believe that the premises of a valid argument are true, the more reasonable it is to believe that the conclusion is true too

It’s unreasonable to disbelieve or suspend judgement about the conclusion of a deductively strong argument

^ DONT DO

111
Q

What are the two ways which it can fail to be rational/justified/reasonable for a person at a time to believe that a premise is true

A

If you have no evidence at all that bears on a claim, you shouldn’t believe the claim is true

  1. The available evidence makes it r/j/r to believe that it’s false
  2. The available evidence makes it r/j/r to suspend judgement

reasonable to believe something true = evidence is good, - good evidence = supported by their premises

Recall Fallibilism: it ca be rational/justified/reasonable to believe a false claim. So, an argument can be deductively strong (for a person at a time) even though the conclusion is false

112
Q

What is Inductive strength

A

An argument is inductively strong (for a person at a time if and only if it is)

  1. Cogent and -
  2. R/J/R for the person to believe that all of the arguments premises are true based on the available evidence and -
  3. The argument is not defeated by the person’s total evidence

EX;

  1. Most university professors are older than 50
  2. ## Kraay is a university professor*3. Kraay is older than 50

^Cogent because there is good reasons to believe the premises

113
Q

How can you tell if an argument is sentential logic or predicate logic?

A

The key thing to look for is whether the whole conclusion occurs inside one of the premises. If it does, then the argument is sentential logic

If the whole conclusion does not appear in a premise, but the parts of the conclusion appear in different premises then the argument is most likely to be predicate logic

114
Q

List the 11 valid argument patterns:

A
  1. Argument by elimination
  2. Conjunction
  3. Simplification
  4. Affirming the antecedent (modus ponens)
  5. Denying the consequent (Modus Tollens)
  6. Hypothetical Syllogism
  7. Contraposition
  8. Universal Modus Ponens
  9. Universal Modus Tollens
  10. Universal Hypothetical syllogism
  11. Universal Ruling out
115
Q

What are 2 invalid argument patterns, and some additional invalid patterns

A
  1. Denying the antecedent
  2. Affirming the consequent

INVALID -

  1. P or Q
  2. ## P*3. Q
  3. P v Q
  4. ## P*3. not Q
  5. P v Q
  6. ## Q*3. Not P
116
Q

What is modus ponens

A

affirming the antecedent

117
Q

What is modus tollens

A

denying the consequent

118
Q

What is some patterns of cogent arguments?

A
  1. Most As are Bs
  2. x is an A
  3. x is a B

Example:

  1. Most americans watch the superbowl
  2. Bob is an american
  3. Bob watches the superbowl

** Another one **

  1. x is an A
  2. x is an B
  3. Most ABs are Cs
  4. x is a C

Example:

  1. Tiger is healthy
  2. Tiger is a cat
  3. Most healthy cats like to chase mice
  4. Tiger likes to chase mice
119
Q

What are some patterns of Ill-Formed arguments?

A
  1. Most As are Bs
  2. x is not an A
  3. x is not a B

Example:

  1. Most americans have never gone to the moon
  2. The queen of england is not an american
  3. the queen of england has (not never) gone to the moon

** Another one **

  1. Most As are Bs
  2. x is a B
  3. x is an A

Example:

  1. Most robins can fly
  2. Tweety can fly
  3. tweety is a robin
120
Q

What is deductive strength

A

Deductive strength refers to how well an argument guarantees its conclusion. In a deductively strong argument, if the premises (the statements that support the conclusion) are true, then the conclusion must also be true. There’s no way for the premises to be true and the conclusion to be false at the same time. It’s like solving a math problem—if you follow the rules and the information you start with is correct, you’ll get the right answer.

For example:

All dogs are animals. (Premise)
Buddy is a dog. (Premise)
Therefore, Buddy is an animal. (Conclusion)

An argument is inductively strong for a person if and only:

  1. Requires deductive validity and reasonable premises
  2. The strength of a valid argument is proportional to the reasonableness of the conjunction of all its premises
  3. Strength can vary from person to person, depending on the evidence the people have
121
Q

What is an incomplete argument?

A

Arguments that are ill-formed but that can be made cogent or valid by the addition of a fairly obvious and simple premise, are known as incomplete arguments.