CRIT THINK AND LOGIC RECAP - CHAPTER 4 ALL

44 flashcards

A
All S are P
E
No S are P
I
Some S are P
O
Some S are not P
Copula:
Are, are not
Quantifiers:
All, no, some
How many standard form categorical propositions are there?
4 (AEIO)
Quality:
Either affirmative or negative (All, some = affirmative) (No, some not = negative)
Quantity:
Either universal or particular (All, no = universal) (Some, some not = particular)
A term is distributed if the proposition
makes an assertion about every member of the class
A distributes:
S
E distributes:
S & P
I distributes:
Neither
O distributes:
P
From the Boolean standpoint, what has existential import?
I and O
From the Aristotelian standpoint, what has existential import?
A, E, I, & O
Identify the zones for a Venn diagram
Explain/Draw the 4 Venn diagrams for AEIO (BOOLEAN)
Explain/Draw the MODERN square of opposition
Is the modern square of opposition Boolean or Aristotelian?
Boolean
Is the traditional square of opposition Boolean or Aristotelian?
Aristotelian
How to test for the existential fallacy (Boolean) in an immediate inference.
Universal---Particular. Diagram both. If the x falls in the unshaded region of the lefthand circle when compared to the first diagram, it commits the EF.
How to test an immediate inference:
Diagram both. If both do not match, invalid.
Conversion
Switch S & P
When converting AEIO, which are logically equivalent?
E, I
When attempting to convert an A or O proposition, this will always commit....
the illicit conversion fallacy
Obversion
Change the quality, replacing P with it's term compliment
Term compliment
B---non-B. Non-B-----B. Essentially, add "non". (Or, if it already exists, take it away)
When obverting, what is logically equivalent?
Every proposition.
Contraposition
Switch S & P, replace both with term compliment
When contrapositing, what is logically equivalent?
A & O
When contrapositing an E or an I proposition, what is commited?
the illicit contraposition fallacy
Contrary
At least one must be false.
Subcontrary
At least one must be true.
At least one (or possibly both) must be false.
A & E
At least one (or possibly both) must be true.
I & O
Subalternation
Truth from A-I and E-O (down), Falsity from I-A and O-E.
Truth trickles...
downwards
Falsity flows...
upwards
When incorrectly assuming information from one of the processes on the traditional square of opposition, the ------------------------------- is being commited.
Illicit -process- fallacy EX: illicit subalternation fallacy, etc.
When is the existential fallacy committed in the Aristotelian viewpoint?
when contrary, subcontrary, and subalternation are used (in an otherwise correct way) to draw a conclusion from a premise about things that do not exist.
Conditionally valid
When a proposition is correctly evaluated, but it is unclear if the subject term denotes existing things.
The traditional square of opposition is used to determine -----, not ------.
Validity, not soundness.
Explain/Draw the TRADITIONAL square of opposition