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?
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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