Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Mathematical Logic (revised)' and 'Semantics for Natural Languages'

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5 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.
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
Davidson rejected ordinary meaning, and just used truth and reference instead [Davidson, by Soames]
     Full Idea: Davidson held that knowledge of truth and reference could give us a notion of meaning. He embraced Quine's rejection of analyticity, synonymy and ordinary meaning, and substituted truth and reference, when there was something genuine to capture.
     From: report of Donald Davidson (Semantics for Natural Languages [1970]) by Scott Soames - Philosophy of Language 2.3
     A reaction: I always get a warm glow when anyone suggests that the concept of meaning involves the concept of truth. I largely reject Quine. Davidson made a helpful suggestion!
Davidson aimed to show that language is structured by first-order logic [Davidson, by Smart]
     Full Idea: Davidson's program was to show the underlying structure of natural languages as that of first-order logic.
     From: report of Donald Davidson (Semantics for Natural Languages [1970], 2) by J.J.C. Smart - The Tenseless Theory of Time 2
     A reaction: First order logic just reasons about a domain of objects with predicates attached to them. Language appears to refer to properties and relations as well as objects.
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
     Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom.
     From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88)
     A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate').