Combining Philosophers

All the ideas for Pyrrho, Einstein,A/Infeld,L and Euclid

expand these ideas     |    start again     |     specify just one area for these philosophers

30 ideas

1. Philosophy / D. Nature of Philosophy / 1. Philosophy
1798 He studied philosophy by suspending his judgement on everything [Pyrrho, by Diog. Laertius]
2. Reason / A. Nature of Reason / 9. Limits of Reason
1800 Sceptics say reason is only an instrument, because reason can only be attacked with reason [Pyrrho, by Diog. Laertius]
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]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues
6595 If we need a criterion of truth, we need to know whether it is the correct criterion [Pyrrho, by Fogelin]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
6593 The Pyrrhonians attacked the dogmas of professors, not ordinary people [Pyrrho, by Fogelin]
13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique
6592 Academics said that Pyrrhonians were guilty of 'negative dogmatism' [Pyrrho, by Fogelin]
13. Knowledge Criteria / E. Relativism / 1. Relativism
1808 Perception of things depends on their size or quantity (Mode 8) [Pyrrho, by Diog. Laertius]
1802 Individuals vary in responses and feelings (Mode 2) [Pyrrho, by Diog. Laertius]
1807 Perception varies with viewing distance and angle (Mode 7) [Pyrrho, by Diog. Laertius]
1801 Animals vary in their feelings and judgements (Mode 1) [Pyrrho, by Diog. Laertius]
1803 Objects vary according to which sense perceives them (Mode 3) [Pyrrho, by Diog. Laertius]
1806 Perception of objects depends on surrounding conditions (Mode 6) [Pyrrho, by Diog. Laertius]
1804 Perception varies with madness or disease (Mode 4) [Pyrrho, by Diog. Laertius]
1810 Perception and judgement depend on comparison (Mode 10) [Pyrrho, by Diog. Laertius]
1805 Judgements vary according to local culture and law (Mode 5) [Pyrrho, by Diog. Laertius]
1809 Perception is affected by expectations (Mode 9) [Pyrrho, by Diog. Laertius]
26. Natural Theory / C. Causation / 7. Eliminating causation
3062 There are no causes, because they are relative, and alike things can't cause one another [Pyrrho, by Diog. Laertius]
27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement
3063 Motion can't move where it is, and can't move where it isn't, so it can't exist [Pyrrho, by Diog. Laertius]
27. Natural Reality / B. Modern Physics / 2. Electrodynamics / b. Fields
18202 The concept of a field gradually replaced the substances in explaining relations between charges [Einstein/Infeld]