Combining Texts

All the ideas for 'works', 'Euthyphro' and 'Remarks on axiomatised set theory'

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8 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets

17879

Axiomatising set theory makes it all relative [Skolem]

5. Theory of Logic / D. Assumptions for Logic / 3. Contradiction

10121

Contradiction is not a sign of falsity, nor lack of contradiction a sign of truth [Pascal]

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems

17878

If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem]

6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics

17880

Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem]

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism

17881

Mathematician want performable operations, not propositions about objects [Skolem]

13. Knowledge Criteria / E. Relativism / 6. Relativism Critique

335	Do the gods also hold different opinions about what is right and honourable? [Plato]

28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question

336	Is what is pious loved by the gods because it is pious, or is it pious because they love it? (the 'Euthyphro Question') [Plato]

337	It seems that the gods love things because they are pious, rather than making them pious by loving them [Plato]