Re: Philosophy, Logic, Formal Systems
Reply #48 –
i just wish there are upvote / downvote button in this DND .
Maybe tea and cucumber sandwiches should be served... We could each take a turn staying away, so the others could talk about us.
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trying to get rid of vagueness without taking the time to understand how semantics works
If one doesn't understand..., semantics doesn't work!
One could make the term heap a little less vague. (For example, call it a pile of like items too many to count by a glance. Most people would agree with that.) But the term is meant to be vague! I don't have a problem with such. I do have a problem with the sort of "reasoning" that then seriously asks if one, zero (or negative) items can still be a heap:
To me, that indicates a misunderstanding of the word. Or, worse, a deficient logic...
Because one can analyze a language into syntax and semantics (some add pragmatics -- for no good reason, I think...) doesn't mean that that language consists of such separate entities (or call them, if you wish, categories). Our theories about language are on a par with our physical theories: They treat of our experience, attempting to systematize what might very well be chaotic, stochastic or -this we hope!- law-bound.
The difficulty I often see is that we come to prefer our theories over our experience before too long. What usually happens then is that we make ad hoc adjustments (consider the case of Ptolemaic epicycles...) to the theory, which becomes less and less reasonable.
Idiomatic speech as a lone example should suffice to convince anyone that language is not entirely law-bound; at least as far as it is creative, its uses and rules of usage are free of any static system.