Logical Proofs

This page is a learning resource for those people who want to learn how to do logical proofs. Disclaimer: The information provided here is solely from my own experience in a university logic class.

Propositional Translation

For the first part, we are going to learn how to translate natural language into logical expressions. For this we'll use the following tables:

Symbol Meaning Translations
\lnot A

\sim A\,

Negation Not A
(A \vee B) Or A or B
(A \and B)

(A \cdot B)

And A and B
(A \rightarrow B)

(A \Rightarrow B)
(A \supset B)

Implication If A then B
A implies B
(A \leftrightarrow B)

(A \Leftrightarrow B)
(A \equiv B)

Equivalence A if and only if B
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