Combining Texts

All the ideas for 'Content Preservation', 'Sets and Numbers' and 'The Question of Realism'

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26 ideas

1. Philosophy / E. Nature of Metaphysics / 2. Possibility of Metaphysics
15053 If metaphysics can't be settled, it hardly matters whether it makes sense [Fine,K]
1. Philosophy / E. Nature of Metaphysics / 7. Against Metaphysics
15054 'Quietist' says abandon metaphysics because answers are unattainable (as in Kant's noumenon) [Fine,K]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
17824 The master science is physical objects divided into sets [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
17825 Set theory (unlike the Peano postulates) can explain why multiplication is commutative [Maddy]
17826 Standardly, numbers are said to be sets, which is neat ontology and epistemology [Maddy]
17828 Numbers are properties of sets, just as lengths are properties of physical objects [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
17827 Sets exist where their elements are, but numbers are more like universals [Maddy]
17830 Number theory doesn't 'reduce' to set theory, because sets have number properties [Maddy]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
17823 If mathematical objects exist, how can we know them, and which objects are they? [Maddy]
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
17829 Number words are unusual as adjectives; we don't say 'is five', and numbers always come first [Maddy]
7. Existence / C. Structure of Existence / 1. Grounding / a. Nature of grounding
15007 If you make 'grounding' fundamental, you have to mention some non-fundamental notions [Sider on Fine,K]
15006 Something is grounded when it holds, and is explained, and necessitated by something else [Fine,K, by Sider]
7. Existence / C. Structure of Existence / 1. Grounding / b. Relata of grounding
15055 Grounding relations are best expressed as relations between sentences [Fine,K]
7. Existence / C. Structure of Existence / 2. Reduction
15050 Reduction might be producing a sentence which gets closer to the logical form [Fine,K]
15051 Reduction might be semantic, where a reduced sentence is understood through its reduction [Fine,K]
15052 Reduction is modal, if the reductions necessarily entail the truth of the target sentence [Fine,K]
15056 The notion of reduction (unlike that of 'ground') implies the unreality of what is reduced [Fine,K]
7. Existence / D. Theories of Reality / 3. Reality
15046 Reality is a primitive metaphysical concept, which cannot be understood in other terms [Fine,K]
15060 Why should what is explanatorily basic be therefore more real? [Fine,K]
15048 In metaphysics, reality is regarded as either 'factual', or as 'fundamental' [Fine,K]
15047 What is real can only be settled in terms of 'ground' [Fine,K]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
15061 Although colour depends on us, we can describe the world that way if it picks out fundamentals [Fine,K]
13. Knowledge Criteria / C. External Justification / 1. External Justification
9382 Subjects may be unaware of their epistemic 'entitlements', unlike their 'justifications' [Burge]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
15059 Grounding is an explanation of truth, and needs all the virtues of good explanations [Fine,K]
14. Science / D. Explanation / 3. Best Explanation / b. Ultimate explanation
15057 Ultimate explanations are in 'grounds', which account for other truths, which hold in virtue of the grounding [Fine,K]
19. Language / D. Propositions / 5. Unity of Propositions
15058 A proposition ingredient is 'essential' if changing it would change the truth-value [Fine,K]