Some say the following two phrases are equivalent because of Raising (linguistics)!
Example 1
He doesn't believe that bigfoot exists
He believes that bigfoot doesn't exist
Are those two phrases really equivalent? In case they are, are the phrases from the examples below also equivalent? If so, why?
Example 2
He doesn't love that bigfoot exists
He loves that bigfoot doesn't exist
Example 3
He doesn't hate that bigfoot exists
He hates that bigfoot doesn't exist
Example 4
He doesn't know that bigfoot exists
He knows that bigfoot doesn't exist
To me none of the examples contains two equivalent phrases.
The example that seems more likely to have equivalent phrases, to me, is example 1, but, if the guy i'm talking about in example 1 doesn't know what bigfoot is, how can he hold a belief of any sort about the existence or nonexistence of bigfoot (phrase 2)? I mean, phrase 1 doesn't state that he believes something about bigfoot, so phrase 1, in this case, seems to be right.
IMPORTANT SIDENOTE: I don't mean to state or imply that all possible sentences that can be written in the stated format will not be equivalent and I also don't mean to state or imply that the linguistic principle of raising is somehow incorrect.