Combining Texts

All the ideas for 'A Slim Book about Narrow Content', 'The Question of Realism' and 'Knowledge and the Philosophy of Number'

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43 ideas

1. Philosophy / E. Nature of Metaphysics / 2. Possibility of Metaphysics
If metaphysics can't be settled, it hardly matters whether it makes sense [Fine,K]
1. Philosophy / E. Nature of Metaphysics / 7. Against Metaphysics
'Quietist' says abandon metaphysics because answers are unattainable (as in Kant's noumenon) [Fine,K]
1. Philosophy / G. Scientific Philosophy / 1. Aims of Science
Science is in the business of carving nature at the joints [Segal]
2. Reason / A. Nature of Reason / 8. Naturalising Reason
Psychology studies the way rationality links desires and beliefs to causality [Segal]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
Predicativism says only predicated sets exist [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
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
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
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
'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
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
Numbers are properties, not sets (because numbers are magnitudes) [Hossack]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
We can only mentally construct potential infinities, but maths needs actual infinities [Hossack]
7. Existence / C. Structure of Existence / 1. Grounding / a. Nature of grounding
If you make 'grounding' fundamental, you have to mention some non-fundamental notions [Sider on Fine,K]
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
Grounding relations are best expressed as relations between sentences [Fine,K]
7. Existence / C. Structure of Existence / 2. Reduction
Reduction might be producing a sentence which gets closer to the logical form [Fine,K]
Reduction might be semantic, where a reduced sentence is understood through its reduction [Fine,K]
Reduction is modal, if the reductions necessarily entail the truth of the target sentence [Fine,K]
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
Reality is a primitive metaphysical concept, which cannot be understood in other terms [Fine,K]
What is real can only be settled in terms of 'ground' [Fine,K]
In metaphysics, reality is regarded as either 'factual', or as 'fundamental' [Fine,K]
Why should what is explanatorily basic be therefore more real? [Fine,K]
10. Modality / A. Necessity / 5. Metaphysical Necessity
Is 'Hesperus = Phosphorus' metaphysically necessary, but not logically or epistemologically necessary? [Segal]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / b. Conceivable but impossible
If claims of metaphysical necessity are based on conceivability, we should be cautious [Segal]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / d. Secondary qualities
Although colour depends on us, we can describe the world that way if it picks out fundamentals [Fine,K]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
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
Ultimate explanations are in 'grounds', which account for other truths, which hold in virtue of the grounding [Fine,K]
14. Science / D. Explanation / 3. Best Explanation / c. Against best explanation
The success and virtue of an explanation do not guarantee its truth [Segal]
18. Thought / A. Modes of Thought / 4. Folk Psychology
Folk psychology is ridiculously dualist in its assumptions [Segal]
18. Thought / C. Content / 5. Twin Earth
If 'water' has narrow content, it refers to both H2O and XYZ [Segal]
Humans are made of H2O, so 'twins' aren't actually feasible [Segal]
Externalists can't assume old words refer to modern natural kinds [Segal]
18. Thought / C. Content / 6. Broad Content
If content is external, so are beliefs and desires [Segal]
Concepts can survive a big change in extension [Segal]
Maybe experts fix content, not ordinary users [Segal]
Must we relate to some diamonds to understand them? [Segal]
Externalism can't explain concepts that have no reference [Segal]
Maybe content involves relations to a language community [Segal]
18. Thought / C. Content / 7. Narrow Content
If content is narrow, my perfect twin shares my concepts [Segal]
18. Thought / C. Content / 10. Causal Semantics
If thoughts ARE causal, we can't explain how they cause things [Segal]
Even 'mass' cannot be defined in causal terms [Segal]
19. Language / D. Propositions / 5. Unity of Propositions
A proposition ingredient is 'essential' if changing it would change the truth-value [Fine,K]