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3. For each of the following sentences, indicate whether or not it is a logical truth, and whether or not it is a tautology. (One has been done for you as an example. Remember that every tautology is also a logical truth.) E.g. 1+1=2 (i) ¬ (Cube(a) ▼ Larger(a, b)) (ii) Small(b) Small(b) (iii) (iv) (v) Larger(a, b) SameSize(b, a) (BackOf(a, b) a = b) ¬ (Smaller(a, b) ▲ Smaller(a, b)) logical truth? tautology? Yes No

3. For each of the following sentences, indicate whether or not it is a logical truth, and whether or not it is a tautology. (One has been done for you as an example. Remember that every tautology is also a logical truth.) E.g. 1+1=2 (i) ¬ (Cube(a) ▼ Larger(a, b)) (ii) Small(b) Small(b) (iii) (iv) (v) Larger(a, b) SameSize(b, a) (BackOf(a, b) a = b) ¬ (Smaller(a, b) ▲ Smaller(a, b)) logical truth? tautology? Yes No

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. For each of the following sentences, indicate whether or not it is a logical truth, and whether or not it is a tautology. (One has been done for you as an example. Remember that every tautology is also a logical truth.) E.g. 1+1=2 (i) ¬ (Cube(a) ▼ Larger(a, b)) (ii) Small(b) Small(b) (iii) (iv) (v) Larger(a, b) SameSize(b, a) (BackOf(a, b) a = b) ¬ (Smaller(a, b) ▲ Smaller(a, b)) logical truth? tautology? Yes No
Transcribed Image Text:3. For each of the following sentences, indicate whether or not it is a logical truth, and whether or not it is a tautology. (One has been done for you as an example. Remember that every tautology is also a logical truth.) E.g. 1+1=2 (i) ¬ (Cube(a) ▼ Larger(a, b)) (ii) Small(b) Small(b) (iii) (iv) (v) Larger(a, b) SameSize(b, a) (BackOf(a, b) a = b) ¬ (Smaller(a, b) ▲ Smaller(a, b)) logical truth? tautology? Yes No
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