Epicheirema

Question 1

What are Epicheirema?

Answer 1

A syllogismic chain-argument in which at least one of the premises contains casual propositions.

Question 2

What is a First Order Epicheireme?

Answer 2

A type of Epicheireme in which the casual bit is in the major premise.

Form:
All M is P, since R
All S is M
Therefore, S is P

Question 3

What is a Second Order Epicheireme?

Answer 3

A type of Epicheireme in which the casual bit is in the minor premise.

Form:
All M is P
All S is a M, since R
Therefore, S is P

Question 4

What is a Third Order Epicheireme?

Answer 4

A type of Epicheireme in which the casual bit is in both the major and minor premises.

Form:

All M is P, since R
All S is a M, since R(2)
Therefore, S is P

Question 5

How do you Extrapolate First Order Epicheirema?

Answer 5

By undoing the proof, checking the validity of everything, and adjusting the proof to make it a new part of the argument that is three premises long and goes after the major premise.

Question 6

How do you Extrapolate Second Order Epicheirema?

Answer 6

By undoing the proof, checking the validity of everything, and adjusting the proof to make it a new part of the argument that is three premises long and goes after the minor premise.

Question 7

How do you Extrapolate Third Order Epicheirema?

Answer 7

By undoing the proof, checking the validity of everything, and adjusting the proof to make two new parts of the argument that are each three premises long. One of these new parts goes after the major premise and the other goes after the minor.