Combining Philosophers

All the ideas for Herodotus, Michael D. Resnik and Antiphon

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13 ideas

4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
6299 Axioms are often affirmed simply because they produce results which have been accepted [Resnik]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
6304 Mathematical realism says that maths exists, is largely true, and is independent of proofs [Resnik]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
6300 Mathematical constants and quantifiers only exist as locations within structures or patterns [Resnik]
6303 Sets are positions in patterns [Resnik]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / d. Platonist structuralism
6302 Structuralism must explain why a triangle is a whole, and not a random set of points [Resnik]
6295 There are too many mathematical objects for them all to be mental or physical [Resnik]
6296 Maths is pattern recognition and representation, and its truth and proofs are based on these [Resnik]
6301 Congruence is the strongest relationship of patterns, equivalence comes next, and mutual occurrence is the weakest [Resnik]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
536 We should follow the law in public, and nature in private [Antiphon]
1557 To gain the greatest advantage only treat law as important when other people are present [Antiphon]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
540 The way you spend your time will form your character [Antiphon]
24. Political Theory / D. Ideologies / 2. Anarchism
539 Nothing is worse for mankind than anarchy [Antiphon]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
1513 The Egyptians were the first to say the soul is immortal and reincarnated [Herodotus]