Combining Texts

All the ideas for 'fragments/reports', 'The Nature of Thought' and 'The Foundations of Mathematics (2nd ed)'

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4 ideas

2. Reason / A. Nature of Reason / 6. Coherence
Full coherence might involve consistency and mutual entailment of all propositions [Blanshard, by Dancy,J]
     Full Idea: Blanshard says that in a fully coherent system there would not only be consistency, but every proposition would be entailed by the others, and no proposition would stand outside the system.
     From: report of Brand Blanshard (The Nature of Thought [1939], 2:265) by Jonathan Dancy - Intro to Contemporary Epistemology 8.1
     A reaction: Hm. If a proposition is entailed by the others, then it is a necessary truth (given the others) which sounds deterministic. You could predict all the truths you had never encountered. See 1578:178 for quote.
3. Truth / D. Coherence Truth / 1. Coherence Truth
Coherence tests for truth without implying correspondence, so truth is not correspondence [Blanshard, by Young,JO]
     Full Idea: Blanshard said that coherent justification leads to coherence truth. It might be said that coherence is a test for truth, but truth is correspondence. But coherence doesn't guarantee correspondence, and coherence is a test, so truth is not correspondence.
     From: report of Brand Blanshard (The Nature of Thought [1939], Ch.26) by James O. Young - The Coherence Theory of Truth §2.2
     A reaction: [compression of Young's summary] Rescher (1973) says that Blanshard's argument depends on coherence being an infallible test for truth, which it isn't.
8. Modes of Existence / A. Relations / 4. Formal Relations / b. Equivalence relation
An 'equivalence' relation is one which is reflexive, symmetric and transitive [Kunen]
     Full Idea: R is an equivalence relation on A iff R is reflexive, symmetric and transitive on A.
     From: Kenneth Kunen (The Foundations of Mathematics (2nd ed) [2012], I.7.1)
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
     Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice.
     From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where?