Combining Philosophers

All the ideas for Nicolas Malebranche, Euclid and Terence Horgan

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21 ideas

2. Reason / E. Argument / 6. Conclusive Proof
8623 Proof reveals the interdependence of truths, as well as showing their certainty [Euclid, by Frege]
4. Formal Logic / C. Predicate Calculus PC / 2. Tools of Predicate Calculus / c. Derivations rules of PC
13907 If you pick an arbitrary triangle, things proved of it are true of all triangles [Euclid, by Lemmon]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
6297 Euclid's geometry is synthetic, but Descartes produced an analytic version of it [Euclid, by Resnik]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
9603 An assumption that there is a largest prime leads to a contradiction [Euclid, by Brown,JR]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / m. One
9894 A unit is that according to which each existing thing is said to be one [Euclid]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
8738 Postulate 2 says a line can be extended continuously [Euclid, by Shapiro]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
22278 Euclid relied on obvious properties in diagrams, as well as on his axioms [Potter on Euclid]
8673 Euclid's parallel postulate defines unique non-intersecting parallel lines [Euclid, by Friend]
10250 Euclid needs a principle of continuity, saying some lines must intersect [Shapiro on Euclid]
10302 Euclid says we can 'join' two points, but Hilbert says the straight line 'exists' [Euclid, by Bernays]
14157 Modern geometries only accept various parts of the Euclid propositions [Russell on Euclid]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
1600 Euclid's common notions or axioms are what we must have if we are to learn anything at all [Euclid, by Roochnik]
7. Existence / C. Structure of Existence / 5. Supervenience / b. Types of supervenience
16052 'Superdupervenience' is supervenience that has a robustly materialistic explanation [Horgan,T]
16053 'Global' supervenience is facts tracking varying physical facts in every possible world [Horgan,T]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
16056 Don't just observe supervenience - explain it! [Horgan,T]
7. Existence / D. Theories of Reality / 6. Physicalism
16054 Physicalism needs more than global supervenience on the physical [Horgan,T]
16055 Materialism requires that physics be causally complete [Horgan,T]
8. Modes of Existence / B. Properties / 8. Properties as Modes
16669 Everything that exists is either a being, or some mode of a being [Malebranche]
14. Science / B. Scientific Theories / 3. Instrumentalism
16057 Instrumentalism normally says some discourse is useful, but not genuinely true [Horgan,T]
26. Natural Theory / C. Causation / 9. General Causation / d. Causal necessity
2594 A true cause must involve a necessary connection between cause and effect [Malebranche]
12726 In a true cause we see a necessary connection [Malebranche]