i. Give three arguments (P₁, a₁), (P2, a2), and (3, 3) (i.e. give the formulae in the premises and claim), where (P2, a₂) rebuts (₁, ₁), and (3, 3) undercuts ($1,01). ii. Let (P, a) and (,) be arguments. If (, a) undercuts (V, 3), is it the case that (, a) is a direct undercut of (, 3)? Give a proof, or counterexample, as appropriate, with definitions for undercut and direct undercut.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 9TFE: Label each of the following statement as either true or false. 9. If ab and ba then a=b.
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o. i. Give three arguments (1, a1), (P2, a2), and (P3, a3) (i.e. give the formulae in
the premises and claim), where (2, a2) rebuts (P1, a1), and (P3, a3) undercuts
(01, a1).
ii. Let (0, a) and (V, B) be arguments. If (0, a) undercuts (V, B), is it the case
that (, a) is a direct undercut of (V, B)? Give a proof, or counterexample, as
appropriate, with definitions for undercut and direct undercut.
Transcribed Image Text:o. i. Give three arguments (1, a1), (P2, a2), and (P3, a3) (i.e. give the formulae in the premises and claim), where (2, a2) rebuts (P1, a1), and (P3, a3) undercuts (01, a1). ii. Let (0, a) and (V, B) be arguments. If (0, a) undercuts (V, B), is it the case that (, a) is a direct undercut of (V, B)? Give a proof, or counterexample, as appropriate, with definitions for undercut and direct undercut.
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