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Single Idea 21601

[filed under theme 7. Existence / D. Theories of Reality / 10. Vagueness / a. Problem of vagueness ]

Full Idea

Both 30° and 60° are clearly acute angles. 'Acute' is precise in all relevant respects. Nevertheless, 30° is acuter than 60°.

Gist of Idea

A vague term can refer to very precise elements

Source

Timothy Williamson (Vagueness [1994], 4.11)

Book Ref

Williamson,Timothy: 'Vagueness' [Routledge 1996], p.126


A Reaction

A very nice example of something which is vague, despite involving precise ingredients. But then 'bald' is vague, while 'this is a hair on his head' is fairly precise.


The 7 ideas with the same theme [why vagueness matters to philosophy]:

Austin revealed many meanings for 'vague': rough, ambiguous, general, incomplete... [Austin,JL, by Williamson]
Conjoining two indefinites by related sentences seems to produce a contradiction [Fine,K]
Local indeterminacy concerns a single object, and global indeterminacy covers a range [Fine,K]
Standardly vagueness involves borderline cases, and a higher standpoint from which they can be seen [Fine,K]
When bivalence is rejected because of vagueness, we lose classical logic [Williamson]
Vagueness undermines the stable references needed by logic [Williamson]
A vague term can refer to very precise elements [Williamson]