Chapter 10

Question 1

Name the four kinds of chain arguments mentioned in the Introduction to Chapter 10.

Answer 1

polysyllogisms; sorites; epicheirema; dilemmas

Question 2

Give the structure of the polysyllogism as it is in your text. Use letters A-D.

Answer 2

All A is B

All C is A

Therefore, all C is B

All D is C

Therefore, all D is B

Question 3

In order for a polysyllogism to be valid, what must be true?

Answer 3

All the simple syllogisms that make it up must be valid

Question 4

Give the structure of the Aristotelian sorite as it is found in your text. Use letters A-E

Answer 4

All A is B

All B is C

All C is D

All D is E

Therefore, all A is E

Question 5

What is extrapolation?

Answer 5

the process of providing the missing conclusions in sorites

Question 6

List the steps for testing the validity of an Aristotelian sorite.

Answer 6

Step 1: Put the sorites in standard form. Step 2: Provide the missing conclusions. Step 3: Test each resulting component syllogism for validity.

Question 7

List the mnemonic names of the five most common categorical syllogisms

Answer 7

BARBARA, CELARENT, CESARE, CAMESTRES, CAMENES