Combining Texts

All the ideas for 'Paradoxes: Form and Predication', 'Euthyphro' and 'Philosophy of Mathematics'

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8 ideas

2. Reason / D. Definition / 8. Impredicative Definition
10882 Predicative definitions only refer to entities outside the defined collection [Horsten]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
14235 Saying 'they can become a set' is a tautology, because reference to 'they' implies a collection [Cargile]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
10884 A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
10885 Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
10881 The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
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]