Question

If p="the summer in Maine is hot and sunny"; what would you form as the negation of p?

Answer 1

put bunch of "not" in right places

Answer 2

Or you can use fancy English :P

p'="the summer in Maine is never hot nor sunny."

Answer 3

the summer is either not hot but sunny or its sunny but not hot..

Answer 4

lol ... id say they are all good :) the simplest of course might be:

"it is not the case that" p

Answer 5

back of the book gives:

the summer in maine is not hot or it is not sunny

Answer 6

thats closet to ME!lol

Answer 7

;)

Answer 8

summer in main is cool and cloudy

Answer 9

not hot or it is not sunny
like someone would actually say this

Answer 10

"Hey Emily! How are you? It is so good to see you again! How's the weather in Houston?"

"It is not the case that the weather in Houston is too hot or it is not the case that the weather in Houston is too sunny, therefore, the weather in Houston is cool or and if and only if for the unique case in which the weather in Houston is cloudy there is a certain ξ such that |f(ξ) - C < L| and the weather is consequently not the case in which it is hot. QED"

Yeah, I don't think anyone talks like that ;p

Answer 11

the negation of "the summer in Maine is hot and sunny" is
not(hot and sunny), or using De Morgan's theorem (not hot) or (not sunny)
\[\neg(A \wedge B)= \neg A \vee \neg B\]