Vagueness
plato.stanford.edu
plato.stanford.edu
"Every species is vague, every term goes cloudy at its edges, and so in my way of thinking, relentless logic is only another name for stupidity — for a sort of intellectual pigheadedness. If you push a philosophical or metaphysical enquiry through a series of valid syllogisms — never committing any generally recognized fallacy — you nevertheless leave behind you at each step a certain rubbing and marginal loss of objective truth and you get deflections that are difficult to trace, at each phase in the process. Every species waggles about in its definition, every tool is a little loose in its handle, every scale has its individual. — First and Last Things (1908)"
This general idea is also a necessary vaccine against a lot of terrible ... LessWrong style "philosophy" (sigh, of all the place to feel compelled to make that statement)
[1] https://philosophyforchange.wordpress.com/2014/03/11/meaning... and https://opinionator.blogs.nytimes.com/2013/03/03/was-wittgen... are pretty good
https://www.joelonsoftware.com/2002/11/11/the-law-of-leaky-a...
[1] https://www.amazon.com/Vagueness-Reader-Rosanna-Keefe/dp/026... [2] https://www.amazon.com/Vagueness-Problems-Philosophy-Timothy...
"A glut is a proposition that is both true and false. The rule for assigning gluts is the mirror image of the rule for assigning gaps: A statement is true exactly if it comes out true on at least one precisification."
"Like for affine algebraic sets, there is a bijection between the projective algebraic sets and the reduced homogeneous ideals which define them. The projective varieties are the projective algebraic sets whose defining ideal is prime."
Wouldn't that also sound like nonsensical or bad writing to someone unfamiliar with the field? But of course, it's not nonsense.