Logic Checkers

This math trick isn't strongly related to numbers... Or is it? Mostly, it's about logic but it has something to do with even numbers vs. odd numbers.

P ~P ~(~P) ~(~(~P)) ~(~(~(~P)))
TRUE FALSE TRUE FALSE TRUE
FALSE TRUE FALSE TRUE FALSE

The tilde (~) represents the negation function in logic. When you use the word not in a sentence, you are using the negation function. It flips the truth value of a statement. For example, since the statement "15 is divisible by 5" is true, its negation "15 is not divisible by 5" is false.

The letter P represents any simple statement in the truth table above.

An odd number of nots gives false on the top row & true on the bottom row, but an even number of nots gives vice versa!

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© Derek Cumberbatch