What is the difference between can not, cannot, and cant? The phrase "can not" may mean "cannot" or "can't," but it also may mean "able not to," which is much different than "not able to" as it conveys the ability to not do something rather than the inability to do it
differences - When to use cannot versus cant? - English Language . . . Generally, people use can't in speech and informal writing, and cannot or can not in formal writing or very formal speech Also (as @Kris points out in a comment), cannot might be used when you need to carefully distinguish it from can't in speech
The usage of can not vs. cannot in mathematics So here it’s about minimizing ambiguity: can not permits two interpretations, while cannot permits only one Such care is critical in the language of mathematics As another example, West would tell you that in mathematical discourse, both “x is a minimum” and “x is a minimal” are valid utterances, but they mean different things
Cannot vs. Can Not - English Language Usage Stack Exchange So, "cannot" means something (denoted S) is impossible, while "can not" means the inverse of that something (denoted !S) is possible These two statements do not imply each other Of course, the second statement could be rendered much more clearly as "The variable can be not initialized," by moving the "not" next to the word being negated
grammaticality - Is it incorrect to say, Why cannot. . . . ? - English . . . Cannot is the only negative form that contains not rather than -n't Theoretically, since it is a single word, you can say why cannot you without a problem My theory is that modern English speakers don't want to put cannot before the subject because it contains not and sounds like can not
double negation - Is cannot not say standard English? - English . . . 9 "cannot not say" would only rarely be used in English, and only in very specific circumstances In particular, this is not a simple double negative "cannot not" does not mean the same as "can", it means "must" It also carries a connotation that not saying is the expected or default action