Combining Texts

All the ideas for 'Exigency to Exist in Essences', 'Mathematical Logic (revised)' and 'Philosophy in the Tragic Age of the Greeks'

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6 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.
7. Existence / A. Nature of Existence / 5. Reason for Existence
Possibles demand existence, so as many of them as possible must actually exist [Leibniz]
     Full Idea: From the conflict of all the possibles demanding existence, this at once follows, that there exists that series of things by which as many of them as possible exist.
     From: Gottfried Leibniz (Exigency to Exist in Essences [1690], p.91)
     A reaction: I'm in tune with a lot of Leibniz, but my head swims with this one. He seems to be a Lewisian about possible worlds - that they are concrete existing entities (with appetites!). Could Lewis include Leibniz's idea in his system?
God's sufficient reason for choosing reality is in the fitness or perfection of possibilities [Leibniz]
     Full Idea: The sufficient reason for God's choice can be found only in the fitness (convenance) or in the degree of perfection that the several worlds possess.
     From: Gottfried Leibniz (Exigency to Exist in Essences [1690], p.92)
     A reaction: The 'fitness' of a world and its 'perfection' seem very different things. A piece of a jigsaw can have wonderful fitness, without perfection. Occasionally you get that sinking feeling with metaphysicians that they just make it up.
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
The actual universe is the richest composite of what is possible [Leibniz]
     Full Idea: The actual universe is the collection of the possibles which forms the richest composite.
     From: Gottfried Leibniz (Exigency to Exist in Essences [1690], p.92)
     A reaction: 'Richest' for Leibniz means a maximum combination of existence, order and variety. It's rather like picking the best starting team from a squad of footballers.
23. Ethics / F. Existentialism / 5. Existence-Essence
It is absurd to think you can change your own essence, like a garment [Nietzsche]
     Full Idea: Man is necessity down to his last fibre, and totally 'unfree', that is if one means by freedom the foolish demand to be able to change one's 'essentia' arbitrarily, like a garment.
     From: Friedrich Nietzsche (Philosophy in the Tragic Age of the Greeks [1873], p.7), quoted by Brian Leiter - Nietzsche On Morality 2 'Realism'
     A reaction: This is the big difference between the existentialism of Nietzsche and the more famous Sartrean approach, where the idea of being able to remake your essence is the most exciting and glamorous proposal. I'm with Nietzsche.