Combining Texts

All the ideas for 'The Courtier and the Heretic', 'Remarks on the Foundations of Mathematics' and 'Confessio naturae contra atheistas'

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4 ideas

3. Truth / H. Deflationary Truth / 1. Redundant Truth
11074 'It is true that this follows' means simply: this follows [Wittgenstein]
     Full Idea: The proposition: "It is true that this follows from that" means simply: this follows from that.
     From: Ludwig Wittgenstein (Remarks on the Foundations of Mathematics [1938], p.38), quoted by Robert Hanna - Rationality and Logic 6
     A reaction: Presumably this remark is simply expressing Wittgenstein's later agreement with the well-known view of Ramsey. Early Wittgenstein had endorsed a correspondence view of truth.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
11073 Two and one making three has the necessity of logical inference [Wittgenstein]
     Full Idea: "But doesn't it follow with logical necessity that you get two when you add one to one, and three when you add one to two? and isn't this inexorability the same as that of logical inference? - Yes! it is the same.
     From: Ludwig Wittgenstein (Remarks on the Foundations of Mathematics [1938], p.38), quoted by Robert Hanna - Rationality and Logic 6
     A reaction: This need not be a full commitment to logicism - only to the fact that the inferential procedures in mathematics are the same as those of logic. Mathematics could still have further non-logical ingredients. Indeed, I think it probably does.
9. Objects / A. Existence of Objects / 5. Individuation / c. Individuation by location
12693 A body is that which exists in space [Leibniz]
     Full Idea: A body is defined as that which exists in space.
     From: Gottfried Leibniz (Confessio naturae contra atheistas [1669], A6.1.490), quoted by Daniel Garber - Leibniz:Body,Substance,Monad 1
     A reaction: A very early view. Leibniz notes that this tells you nothing about shape and motion.
24. Political Theory / D. Ideologies / 10. Theocracy
7825 The politics of Leibniz was the reunification of Christianity [Stewart,M]
     Full Idea: The politics of Leibniz may be summed up in one word: theocracy. The specific agenda motivating much of his work was to reunite the Protestant and Catholic churches
     From: Matthew Stewart (The Courtier and the Heretic [2007], Ch. 5)
     A reaction: This would be a typical project for a rationalist philosopher, who thinks that good reasoning will gradually converge on the one truth.