Principles of Reasoning Exam 1 Flashcards
proposition
anything that is capable of being true or false (has true values)
is water=h2o a proposition?
yes
is dad! do the perfect case! a proposition?
no, it is an imperative statement (command or request)
is water=sodium chloride a proposition?
yes, it is a statement that can be either true or false
do the sentences below express the same proposition?
1. the snow will melt before the end of next week
2. the end of the week will come after the snow melts
-no, the first sentence implies the snow melting in relation to the end of the week; the second sentence implies the end of week in relation to the snow melting
connectives
link propositions to other propositions
examples of connectives
and, if, or, not, then, because, before, after,while, when, either
is this an example of a connective component:
the Milky Way is 100,000 light years across the universe, and that’s news to me
no, even though the word “and” is being used, the second part of the sentence is not a proposition, but an imperative sentence
is this a connective component:
if the sun disappeared right now, then the sky would go dark in 8 minutes
yes, the first part of the sentence is a hypothetical proposition which could be proven true or false, and the second statement is a proposition that can be proven true or false as well
is this a connective component:
the statement on this slide is not true
no, although it uses not, this is an example of the liar paradox, and it is not a proposition statement combined with another
other examples of propositions
- baltimore is to the north of canada
- batman wold beat superman in a fight
- if my phone is working, then it is charged
argument
when at least one premise is put forward in a favor of a conclusion
conclusion indicators
therefore, thus, hence, consequently
premise indicators
since, because, given that, granted
deductive argument
aim to show that a conclusion is guaranteed if all the premises are true
valid argument
guarantees a true conclusion if the premises are all true
sound argument
valid+all true premises=sound
inductive argument
aim to show that the conclusion is probable given its premises
strong argument
-has a probable conclusion given all true premises
what is the premise:
since my phone is working, it must be charged
my phone is working
what is the conclusion:
batman would beat superman in a fight, and superman would easily beat joker in a fight. so batman would easily beat joker in a fight
batman would easily beat joker in a fight
independent premise
separate lines of evidence in favor of a conclusion
dependent premise
premises that work together to support the conclusion
subconclusion
a premise that supports a conclusion, and that conclusion itself is a premise for another conclusion
fallacies
bad arguments
subjectivist
I believe it, so it’s true
appeal to majority
everybody believes it, so it’s true
ad hominem
something’s wrong with you, so you’re wrong
appeal to authority
they’re an expert, so they’re right
(could be the wrong kind of authority or the authority might not represent the consensus position)
false alternative
failing to account for other possibilities
post hoc
A happened before B, so A caused B