Combining Texts

All the ideas for 'Realism in Mathematics', 'Universals' and 'A Slim Book about Narrow Content'

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36 ideas

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 / 7. Natural Sets
Maddy replaces pure sets with just objects and perceived sets of objects [Maddy, by Shapiro]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
A natural number is a property of sets [Maddy, by Oliver]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Intuition doesn't support much mathematics, and we should question its reliability [Maddy, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
One moderate nominalist view says that properties and relations exist, but they are particulars [Armstrong]
8. Modes of Existence / B. Properties / 13. Tropes / b. Critique of tropes
If properties and relations are particulars, there is still the problem of how to classify and group them [Armstrong]
8. Modes of Existence / D. Universals / 1. Universals
Should we decide which universals exist a priori (through words), or a posteriori (through science)? [Armstrong]
8. Modes of Existence / D. Universals / 4. Uninstantiated Universals
It is claimed that some universals are not exemplified by any particular, so must exist separately [Armstrong]
8. Modes of Existence / E. Nominalism / 2. Resemblance Nominalism
'Resemblance Nominalism' finds that in practice the construction of resemblance classes is hard [Armstrong]
'Resemblance Nominalism' says properties are resemblances between classes of particulars [Armstrong]
8. Modes of Existence / E. Nominalism / 3. Predicate Nominalism
'Predicate Nominalism' says that a 'universal' property is just a predicate applied to lots of things [Armstrong]
8. Modes of Existence / E. Nominalism / 4. Concept Nominalism
Concept and predicate nominalism miss out some predicates, and may be viciously regressive [Armstrong]
'Concept Nominalism' says a 'universal' property is just a mental concept applied to lots of things [Armstrong]
8. Modes of Existence / E. Nominalism / 5. Class Nominalism
'Class Nominalism' may explain properties if we stick to 'natural' sets, and ignore random ones [Armstrong]
'Class Nominalism' says that properties or kinds are merely membership of a set (e.g. of white things) [Armstrong]
'Class Nominalism' cannot explain co-extensive properties, or sets with random members [Armstrong]
8. Modes of Existence / E. Nominalism / 6. Mereological Nominalism
'Mereological Nominalism' sees whiteness as a huge white object consisting of all the white things [Armstrong]
'Mereological Nominalism' may work for whiteness, but it doesn't seem to work for squareness [Armstrong]
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]
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
Concepts can survive a big change in extension [Segal]
Must we relate to some diamonds to understand them? [Segal]
Maybe content involves relations to a language community [Segal]
Externalism can't explain concepts that have no reference [Segal]
If content is external, so are beliefs and desires [Segal]
Maybe experts fix content, not ordinary users [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]