Negating a declaration

State in words the negation of the list below sentence : For every martian M, if M is environment-friendly, after that M is high and also ticklish.

I obtained the appropriate response to this, offer or take a couple of words, yet this is an inquiry of kind greater than anything. After transforming this declaration to icons and also negating every little thing, I think of : $\exists M(P \wedge (\neg \text{Tall } \vee \neg\text{ Ticklish})$ therefore in word layout that would certainly be :

There exists a martian such that it is environment-friendly and also not high or otherwise ticklish.

Nonetheless the actually proper solution is :

There is a martian M such that M is environment-friendly yet M is not high or M is not ticklish.

The distinction in between these 2 is a 'yet' and also an 'and also'. Does this mean anything mathematically? Is my variation deal with?

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2019-12-02 02:54:11
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Answers: 1

Your solution is "really correct". It is probably extra common in English to make use of "but" as opposed to "and" in a sentence as the one in your instance. Officially (i.e., mathematically), there is no distinction.

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2019-12-03 04:24:41
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