6 ideas
| 6294 | In the beginning was the Word, and the Word was with God, and the word was God [John] |
| Full Idea: In the beginning was the Word, and the Word was with God, and the word was God. | |
| From: St John (04: Gospel of St John [c.95], 01.01) | |
| A reaction: 'Word' translates the Greek word 'logos', which has come a long way since Heraclitus. The interesting contrast is with the later Platonist view that the essence of God is the Good. So is the source of everything to be found in reason, or in value? |
| 8821 | Jesus said he bore witness to the truth. Pilate asked, What is truth? [John] |
| Full Idea: Jesus: I came into the world, that I should bear witness unto the truth. Everyone that is of the truth heareth my voice. Pilate saith unto him, What is truth? | |
| From: St John (04: Gospel of St John [c.95], 18:37-8) | |
| A reaction: There is very little explicit discussion of truth in philosophy before this exchange (apart from Ideas 251 and 586), and there isn't any real debate prior to Russell and the pragmatists. What was Pilate's tone? Did he spit at the end of his question? |
| 17809 | Gödel showed that the syntactic approach to the infinite is of limited value [Kreisel] |
| Full Idea: Usually Gödel's incompleteness theorems are taken as showing a limitation on the syntactic approach to an understanding of the concept of infinity. | |
| From: Georg Kreisel (Hilbert's Programme [1958], 05) |
| 17810 | The study of mathematical foundations needs new non-mathematical concepts [Kreisel] |
| Full Idea: It is necessary to use non-mathematical concepts, i.e. concepts lacking the precision which permit mathematical manipulation, for a significant approach to foundations. We currently have no concepts of this kind which we can take seriously. | |
| From: Georg Kreisel (Hilbert's Programme [1958], 06) | |
| A reaction: Music to the ears of any philosopher of mathematics, because it means they are not yet out of a job. |
| 17811 | The natural conception of points ducks the problem of naming or constructing each point [Kreisel] |
| Full Idea: In analysis, the most natural conception of a point ignores the matter of naming the point, i.e. how the real number is represented or by what constructions the point is reached from given points. | |
| From: Georg Kreisel (Hilbert's Programme [1958], 13) | |
| A reaction: This problem has bothered me. There are formal ways of constructing real numbers, but they don't seem to result in a name for each one. |
| 14409 | I am a presentist, and all language and common sense supports my view [Bigelow] |
| Full Idea: I am a presentist: nothing exists which is not present. Everyone believed this until the nineteenth century; it is writing into the grammar of natural languages; it is still assumed in everyday life, even by philosophers who deny it. | |
| From: John Bigelow (Presentism and Properties [1996], p.36), quoted by Trenton Merricks - Truth and Ontology | |
| A reaction: The most likely deniers of presentism seem to be physicists and cosmologists who have overdosed on Einstein. On the whole I vote for presentism, but what justifies truths about the past and future. Traces existing in the present? |