Combining Texts

All the ideas for 'The Origin of the Work of Art', 'Is Mathematics purely Linguistic?' and 'Letters to Antoine Arnauld'

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3 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / b. Philosophy as transcendent
Later Heidegger sees philosophy as more like poetry than like science [Heidegger, by Polt]
     Full Idea: In his later work Heidegger came to view philosophy as closer to poetry than to science.
     From: report of Martin Heidegger (The Origin of the Work of Art [1935], p.178) by Richard Polt - Heidegger: an introduction 5 'Signs'
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
It is possible that an omnipotent God might make one and two fail to equal three [Descartes]
     Full Idea: Since every basic truth depends on God's omnipotence, I would not dare to say that God cannot make it....that one and two should not be three.
     From: René Descartes (Letters to Antoine Arnauld [1645]), quoted by A.W. Moore - The Evolution of Modern Metaphysics 01.3
     A reaction: An unusual view. Most people would say that if Descartes can doubt something that simple, he should also doubt his reasons for believing in God's existence.
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Numbers are just verbal conveniences, which can be analysed away [Russell]
     Full Idea: Numbers are nothing but a verbal convenience, and disappear when the propositions that seem to contain them are fully written out.
     From: Bertrand Russell (Is Mathematics purely Linguistic? [1952], p.301)
     A reaction: This is the culmination of the process which began with his 1905 theory of definite descriptions. The intervening step was Wittgenstein's purely formal account of the logical connectives.