Combining Texts

All the ideas for 'reports', 'Knowledge and the Philosophy of Number' and 'In Defence of Three-Dimensionalism'

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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]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
23623 Predicativism says only predicated sets exist [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
23624 The iterative conception has to appropriate Replacement, to justify the ordinals [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
23625 Limitation of Size justifies Replacement, but then has to appropriate Power Set [Hossack]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / d. and
23628 The connective 'and' can have an order-sensitive meaning, as 'and then' [Hossack]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
23627 'Before' and 'after' are not two relations, but one relation with two orders [Hossack]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / h. Ordinal infinity
23626 Transfinite ordinals are needed in proof theory, and for recursive functions and computability [Hossack]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
23621 Numbers are properties, not sets (because numbers are magnitudes) [Hossack]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
23622 We can only mentally construct potential infinities, but maths needs actual infinities [Hossack]
9. Objects / E. Objects over Time / 3. Three-Dimensionalism
12295 3-D says things are stretched in space but not in time, and entire at a time but not at a location [Fine,K]
12298 Genuine motion, rather than variation of position, requires the 'entire presence' of the object [Fine,K]
9. Objects / E. Objects over Time / 4. Four-Dimensionalism
12296 4-D says things are stretched in space and in time, and not entire at a time or at a location [Fine,K]
18882 You can ask when the wedding was, but not (usually) when the bride was [Fine,K, by Simons]
9. Objects / E. Objects over Time / 5. Temporal Parts
12297 Three-dimensionalist can accept temporal parts, as things enduring only for an instant [Fine,K]
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
1805 Judgements vary according to local culture and law (Mode 5) [Pyrrho, by Diog. Laertius]
1803 Objects vary according to which sense perceives them (Mode 3) [Pyrrho, by Diog. Laertius]
1807 Perception varies with viewing distance and angle (Mode 7) [Pyrrho, by Diog. Laertius]
1810 Perception and judgement depend on comparison (Mode 10) [Pyrrho, by Diog. Laertius]
1802 Individuals vary in responses and feelings (Mode 2) [Pyrrho, by Diog. Laertius]
1801 Animals vary in their feelings and judgements (Mode 1) [Pyrrho, by Diog. Laertius]
1804 Perception varies with madness or disease (Mode 4) [Pyrrho, by Diog. Laertius]
1808 Perception of things depends on their size or quantity (Mode 8) [Pyrrho, by Diog. Laertius]
1806 Perception of objects depends on surrounding conditions (Mode 6) [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]