Combining Philosophers

All the ideas for Eubulides, John Cottingham and Michael D. Resnik

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15 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]
5. Theory of Logic / L. Paradox / 1. Paradox
6007 If you know your father, but don't recognise your father veiled, you know and don't know the same person [Eubulides, by Dancy,R]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
6006 If you say truly that you are lying, you are lying [Eubulides, by Dancy,R]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / b. The Heap paradox ('Sorites')
6008 Removing one grain doesn't destroy a heap, so a heap can't be destroyed [Eubulides, by Dancy,R]
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
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]
6302 Structuralism must explain why a triangle is a whole, and not a random set of points [Resnik]
9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance
4304 Descartes says there are two substance, Spinoza one, and Leibniz infinitely many [Cottingham]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
4303 The notion of substance lies at the heart of rationalist metaphysics [Cottingham]
20. Action / C. Motives for Action / 3. Acting on Reason / a. Practical reason
4316 Either all action is rational, or reason dominates, or reason is only concerned with means [Cottingham]
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
4306 For rationalists, it is necessary that effects be deducible from their causes [Cottingham]