First slide

Introduction to mathematical reasoning

Question

$The proposition (p \Rightarrow\sim p) \land (p \Rightarrow p) is a$

Moderate

A

neither tautology nor contradiction
B

contradiction
C

tautology and contradiction
D

tautology

Solution

Truth table:

$Clearly, (p \Rightarrow\sim p) \land (~ p \Rightarrow p) is a contradiction.$

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