Combining Texts

All the ideas for 'works', 'Euthyphro' and 'The Thesis that Mathematics is Logic'

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5 ideas

5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
Putnam coined the term 'if-thenism' [Putnam, by Musgrave]
     Full Idea: Putnam coined the term 'if-thenism'.
     From: report of Hilary Putnam (The Thesis that Mathematics is Logic [1967]) by Alan Musgrave - Logicism Revisited §5 n
5. Theory of Logic / D. Assumptions for Logic / 3. Contradiction
Contradiction is not a sign of falsity, nor lack of contradiction a sign of truth [Pascal]
     Full Idea: Contradiction is not a sign of falsity, nor the lack of contradiction a sign of truth.
     From: Blaise Pascal (works [1660]), quoted by A.George / D.J.Velleman - Philosophies of Mathematics Ch.6
     A reaction: [Quoted in Auden and Kronenberger's Book of Aphorisms] Presumably we would now say that contradiction is a purely formal, syntactic notion, and not a semantic one. If you hit a contradiction, something has certainly gone wrong.
13. Knowledge Criteria / E. Relativism / 6. Relativism Critique
Do the gods also hold different opinions about what is right and honourable? [Plato]
     Full Idea: Do the gods too hold different opinions about what is right, and similarly about what is honourable and dishonourable, good and bad?
     From: Plato (Euthyphro [c.398 BCE], 07e)
28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question
Is what is pious loved by the gods because it is pious, or is it pious because they love it? (the 'Euthyphro Question') [Plato]
     Full Idea: Is what is pious loved by the gods because it is pious, or is it pious because they love it?
     From: Plato (Euthyphro [c.398 BCE], 10a)
     A reaction: The famous Euthyphro Question, the key question about the supposed religious basis of morality. The answer of Socrates is Idea 337.
It seems that the gods love things because they are pious, rather than making them pious by loving them [Plato]
     Full Idea: So things are loved by the gods because they are pious, and not pious because they are loved? It seems so.
     From: Plato (Euthyphro [c.398 BCE], 10e)
     A reaction: Socrates' answer to the Euthyphro Question (see Idea 336). The form of piety precedes the gods.