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I've heard it called a "non-central example". That has a negative connotation though, I wish there was a more neutral term. The statement "all natural numbers
by galimaufry 5y ago
I've heard it called a "non-central example". That has a negative connotation though, I wish there was a more neutral term. The statement "all natural numbers are greater than 1" is false, and it's not helpful to object that 0 and 1 are noncentral examples.
(It's not a motte-and-bailey, that's about a particular sort of shifting goalposts)
- tines 5y agoNitpick, I don't think 0 is a natural number
- whatshisface 5y agoZero is sometimes a natural number and sometimes not. N is written as N_+ or N_0 sometimes to indicate which one is being used.
- tines 5y agoAh, that's annoying.
- diffeomorphism 5y agoMatter of taste/notation. Both definitions 0,1,2,... and 1,2,3,... are very, very common.
- leadingthenet 5y ago1 is still not strictly greater than 1, though.