Combining Texts

All the ideas for 'Philosophy of Mathematics', 'A World of Dispositions' and 'Wittgenstein on Rules and Private Language'

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14 ideas

2. Reason / D. Definition / 8. Impredicative Definition
Predicative definitions only refer to entities outside the defined collection [Horsten]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / e. Dispositions as potential
All structures are dispositional, objects are dispositions sets, and events manifest dispositions [Fetzer]
9. Objects / C. Structure of Objects / 1. Structure of an Object
All events and objects are dispositional, and hence all structural properties are dispositional [Fetzer]
18. Thought / A. Modes of Thought / 10. Rule Following
No rule can be fully explained [Kripke]
'Quus' means the same as 'plus' if the ingredients are less than 57; otherwise it just produces 5 [Kripke]
19. Language / A. Nature of Meaning / 10. Denial of Meanings
Kripke's Wittgenstein says meaning 'vanishes into thin air' [Kripke, by Miller,A]
If you ask what is in your mind for following the addition rule, meaning just seems to vanish [Kripke]
19. Language / C. Assigning Meanings / 6. Truth-Conditions Semantics
Community implies assertability-conditions rather than truth-conditions semantics [Kripke, by Hanna]
19. Language / F. Communication / 4. Private Language
The sceptical rule-following paradox is the basis of the private language argument [Kripke, by Hanna]
26. Natural Theory / B. Natural Kinds / 2. Defining Kinds
Kinds are arrangements of dispositions [Fetzer]
26. Natural Theory / D. Laws of Nature / 3. Laws and Generalities
Lawlike sentences are general attributions of disposition to all members of some class [Fetzer]