Quiz 11

Question 1

Show the form of the Goclenian sorites using the letters A, B, C, D, and E.

Answer 1

All (or no) D is E
All C is D
All (or some) B is C
All A is B
Therefore, all (or some, or no) A is E

Question 2

What are the three steps for determining the validity of sorites?

Answer 2

1) Unless it already is, put the sorites in standard form (i.e., in one of the two forms: Aristotelian or Goclenian)
2) Provide the missing conclusions
3) Test each resulting component syllogism for validity

Question 3

List the three rules that apply to sorites

Answer 3

There are only two rules:

1) Only the premise which contains the minor term may be particular.
2) Only the premise which contains the major term may be negative.

Question 4

true or false? There are two kinds of sorites: affirmative and negative.

Answer 4

false

Question 5

true or false? Goclenian sorites are similar to the Aristotelian, except that the series of syllogisms are First Figure
rather than Fourth.

Answer 5

true

Question 6

true or false? The validity of Goclenian sorites depends on the validity of the component syllogisms of which it is comprised,

Answer 6

true

Question 7

true or false? There are five valid forms of conditional sorites.

Answer 7

false