Class Flashcards
Propositions
statements that can be true or false
Non-propositions
are not statements about matters of fact. They do not make a claim that can be true or false
Simple propositions
Have no internal logical structure, meaning whether they are true or false does not depend on whether a part of them is true or false. They are simply true or false on their own.
Complex propositions
Have internal logical structure, meaning they are composed of simple propositions. Whether complex propositions are true or false depends on whether their parts are true or false and how those parts are connected.
premise
The premises are the claims, evidence, ideas, and so forth intended to support the conclusion.
Bad inferential structure
In arguments with a bad form or structure, the premises do not, in fact, demonstrate or maybe even support the conclusion.
False premise
In arguments with false premise(s), there is something wrong with their particular content.
How can we identify premises and conclusions?
We can sometimes identify premises and conclusions simply by recognizing the role they play in an argument.
Which words are considered premise indicators?
Because, For, Given that, In that, As, Since, As indicated by
Which words are considered conclusion indicators?
Therefore, So, It follows that, Hence, Thus, Entails that, We may conclude that, Implies that, Wherefore, As a result
Conclusions
The conclusion is the claim that the whole argument is intended to support or demonstrate or prove.
inductive/ampliative
arguments where the premises make the conclusion probable
deductive
arguments where the premises guarantee or necessitate the conclusion
Inference to the best explanation or abduction
arguments where the best available explanation is chosen as the correct explanation
Soundness
A deductive argument is sound if it has a valid structure and all its premises are true. (If an argument is deductive but has either an invalid structure or at least one false premise, then it is an unsound argument.)
Truth
Propositions are true if they accurately represent what is the case, otherwise they are false.
Validity
In a valid deductive argument, the truth of the premises would make the conclusion necessarily true. (If not, it is an invalid structure.)
Cogent
An inductive argument is cogent if it is strong and all its premises are true. (If an argument is inductive but either is weak or has at least one false premise, then is is an uncogent argument.)
Strength
In a strong inductive argument, the truth of premises would make the conclusion probably true.
Formal Fallacy
The word “formal” refers to the structure of things.