Chapter 11

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 Goclenian sorite as it is in your text. Use letters A-E.

Answer 2

All D is E

All C is D

All B is C

All A is B

Therefore, all A is E

Question 3

Give the structure of the Conditional sorite that reflects Modus Ponens as it is in your text. Use letters A-E.

Answer 3

If A, then B

If B, then C

If C, then D

If D, then E

Therefore, if A, then E

Question 4

Give the structure of the Conditional sorite that reflects Modus Tollens as it is in your text. Use letters A-E.

Answer 4

If A, then B

If B, then C

If C, then D

If D, then E

Therefore, if not E, then not A

Question 5

Give the structure of the Mixed Conditional sorite that reflects Modus Ponens as it is in your text. Use letters A-E.

Answer 5

If A, then B

If B, then C

If C, then D

If D, then E

But A

Therefore, E

Question 6

Give the structure of the Mixed Conditional sorite that reflects Modus Tollens as it is in your text. Use letters A-E.

Answer 6

If A, then B

If B, then C

If C, then D

If D, then E

But not E

Therefore, not A