Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'The Theory of Transfinite Numbers' and 'Dispositions and Powers'

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

21 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
9616 A set is a collection into a whole of distinct objects of our intuition or thought [Cantor]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
15896 Cantor needed Power Set for the reals, but then couldn't count the new collections [Cantor, by Lavine]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
10580 Mathematics is both necessary and a priori because it really consists of logical truths [Yablo]
6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics
10579 Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
10577 Concrete objects have few essential properties, but properties of abstractions are mostly essential [Yablo]
10578 We are thought to know concreta a posteriori, and many abstracta a priori [Yablo]
8. Modes of Existence / B. Properties / 1. Nature of Properties
23708 Humeans see properties as having no more essential features and relations than their distinctness [Friend/Kimpton-Nye, by PG]
23709 Dispositions are what individuate properties, and they constitute their essence [Friend/Kimpton-Nye]
8. Modes of Existence / C. Powers and Dispositions / 1. Powers
23707 Powers are properties which necessitate dispositions [Friend/Kimpton-Nye]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
23714 Dispositional essentialism (unlike the grounding view) says only fundamental properties are powers [Friend/Kimpton-Nye]
8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence
23711 A power is a property which consists entirely of dispositions [Friend/Kimpton-Nye]
23712 Powers are qualitative properties which fully ground dispositions [Friend/Kimpton-Nye]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / a. Dispositions
23698 Dispositions have directed behaviour which occurs if triggered [Friend/Kimpton-Nye]
23699 'Masked' dispositions fail to react because something intervenes [Friend/Kimpton-Nye]
23700 A disposition is 'altered' when the stimulus reverses the disposition [Friend/Kimpton-Nye]
23701 A disposition is 'mimicked' if a different cause produces that effect from that stimulus [Friend/Kimpton-Nye]
23702 A 'trick' can look like a stimulus for a disposition which will happen without it [Friend/Kimpton-Nye]
23703 Some dispositions manifest themselves without a stimulus [Friend/Kimpton-Nye]
23704 We could analyse dispositions as 'possibilities', with no mention of a stimulus [Friend/Kimpton-Nye]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
23710 Dispositionalism says modality is in the powers of this world, not outsourced to possible worlds [Friend/Kimpton-Nye]
26. Natural Theory / D. Laws of Nature / 7. Strictness of Laws
23706 Hume's Dictum says no connections are necessary - so mass and spacetime warping could separate [Friend/Kimpton-Nye]