Lessons 11-18 Flashcards
3 steps to change ordinary statements into standard argument form
- Identify and write down the entire subject on the board
- choose the proper “to be” verb
- rewrite the entire predicate as a predicate nominative
This helps us analyze statements in arguments
categorical statement
statements that either affirm or deny something about their subjects
four types of standard categorical statements
- universal affirmative
- universal negative
- particular affirmative
- particular negative
subject of the statement
the term being described, or about which something is asserted
predicate of the statement
the term that describes or asserts something about the subject
quantity
identifies whether the statement is universal (all and no) or particular (some and some not)
every categorical statement can be translated in one of four forms
- All S are P
- No S are P
- Some S are P
- Some S are not P
quality
identifies whether the statement is affirmative(all and some) or negative (no and some not)
Rules for translating categorical statements into standard categorical form
- The statements must begin with the words all, no or some
- The verb must be the verb of being: is, are, was, were, will be, etc.
- Both the subject and the predicate must be noun or a noun phrase
A statements
all universal affirmative statements
E statements
all universal negative statements
I statements
particular affirmative statements (some P are D)
O statements
particular negative statements (some P are not D)
contradiction
two statements are in contradiction if and only if they always have opposite truth values.
A statements contradict O statements and E statements contradict I statements
the relationship between A and O statements and the relationship between E and I statements
square of opposition
a simple way to diagram the various relationships…shows how A,E,I and O are related
contrary statements
two statements are contrary if and only if they can both be false but cannot both be true.
relationship between A and E statements
contradictory truth values are always opposite
contraries can both be false
subcontrary statements
both statements can be true but they cannot both be false
relationship between I and O
subimplication
relationship between universal and particular statement of the same quality, in which the truth of the universal necessitates the truth of the particular
relationship from A to I statements and E to O statements
superimplication
the relationship between a universal and particular statement of the same quality, in which the falsity of the particular necessitates the falsity of the particular