Chap 9 Categorical Logic

Question 0

Boolean interpretation

Answer 0

the interpretation of categorical sentences that was developed by George Boole and that dispensed with the assumption of existential import for universal sentences.

Question 1

Aristotelian assumption

Answer 1

The assumption underlying the Aristotelian square of opposition, that the categorical statements under consideration all have existential import.

Question 2

Empty class

Answer 2

A class in which no entities of that category exist.

Question 3

Existential import

Answer 3

A categorical statement is said to have “existential import” if its subject term refers to a class that is not empty; that is, the subject term refers to actual existing entities.

Question 4

Existential Viewpoint

Answer 4

( or standpoint) The viewpoint presupposing that the subject terms of the sentences under consideration designates actually existing things.

Question 5

Hypothetical Viewpoint

Answer 5

the viewpoint that does not presuppose that the subject terms of the sentences under consideration designate actually existing things.

Question 6

Modern Square of opposition

Answer 6

the square of opposition that results when the aristotelian assumption is dropped. the arrows for contradiction are all the remain.

Question 7

Venn diagram

Answer 7

A drawing of overlapping circles designed to represent the information contained within one or more categorical statements.