Samantha C.

asked • 04/29/24

Turn a sentence into symbolic proposition logic using capital letters for affirmative english statements

Turn the sentence: "Look, Schopenhauer was only grumpy because his dad died by suicide, his mother did not like him, and his archnemesis Hegel was a bigger star than he was. into symbolic propositional logic using capital letters for affirmative English statements. Should be all considered as single compound statements.

1 Expert Answer

By:

Pronoy S.

This is an incomplete representation of the sentence given though, right? It is not just that : (A AND B AND C) implies D (which may hold even when D itself doesn't hold), but that D is true AND {A AND B AND C} implies D. So basically, the statement is given as : <D> AND <{A AND B AND C} implies D>
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05/17/24

Kevin H.

tutor
Right, the statement "A and B and C implies D" is independent of whether D happens to be true of not. If D were to be false, all that means is that either A is false or B is false or C is false, which is the contrapositive of the original statement, i.e. "not D implies not A or not B or not C". Any mathematical statement and its contrapositive are equivalent to each other.
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05/17/24

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