Combining Texts

All the ideas for 'fragments/reports', 'works' and 'Mathematical Logic (revised)'

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4 ideas

5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
'Corner quotes' (quasi-quotation) designate 'whatever these terms designate' [Quine]
     Full Idea: A 'quasi-quotation' [corner quotes, Quine quotes] designates that (unspecified) expression which is obtained from the contents of the corners by replacing the Greek letters by the (unspecified) expressions which they designate.
     From: Willard Quine (Mathematical Logic (revised) [1940], 1.6)
     A reaction: Filed under 'variables', as they seem to be variables that can refer to actual expressions, like algebra. Quine was determined to distinguish clearly between 'mention' and 'use'. 'Half-hearted substitutional quantification', says Fine.
5. Theory of Logic / F. Referring in Logic / 1. Naming / f. Names eliminated
We might do without names, by converting them into predicates [Quine, by Kirkham]
     Full Idea: Quine suggests that we can have a language with just predicates and no names. Thus for 'Ralph is red' we say 'x Ralphises and x is red'.
     From: report of Willard Quine (Mathematical Logic (revised) [1940]) by Richard L. Kirkham - Theories of Truth: a Critical Introduction 5.6
     A reaction: Kirkham discusses this as a way of getting round the lack of names in Tarski's theory of truth (which just uses objects, predicates and quantifiers). Otherwise you must supplement Tarski with an account of what the names refer to.
13. Knowledge Criteria / C. External Justification / 1. External Justification
Surely ALL truths are externally justified, by the facts? [Cross,A]
     Full Idea: Surely ALL truths are externally justified?
     From: Adam Cross (works [2001]), quoted by PG - Db (ideas)
     A reaction: A very nice warning to aspiring externalists. If you actually think the justification is somehow 'out there', then everything is going to be justified, by its own facts. We need to get the justification 'in here'.
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
     Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice.
     From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where?