Combining Philosophers

All the ideas for Cappelen,H/Dever,J, Hecato and John von Neumann

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30 ideas

2. Reason / E. Argument / 1. Argument
18405 A 'teepee' argument has several mutually supporting planks to it [Cappelen/Dever]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
3340 Von Neumann defines each number as the set of all smaller numbers [Neumann, by Blackburn]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
15943 Limitation of Size is not self-evident, and seems too strong [Lavine on Neumann]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
3355 Von Neumann wanted mathematical functions to replace sets [Neumann, by Benardete,JA]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
13489 Von Neumann treated cardinals as a special sort of ordinal [Neumann, by Hart,WD]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
12336 A von Neumann ordinal is a transitive set with transitive elements [Neumann, by Badiou]
22716 Von Neumann defined ordinals as the set of all smaller ordinals [Neumann, by Poundstone]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / g. Von Neumann numbers
18179 For Von Neumann the successor of n is n U {n} (rather than {n}) [Neumann, by Maddy]
18180 Von Neumann numbers are preferred, because they continue into the transfinite [Maddy on Neumann]
15925 Each Von Neumann ordinal number is the set of its predecessors [Neumann, by Lavine]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
13672 All the axioms for mathematics presuppose set theory [Neumann]
16. Persons / C. Self-Awareness / 2. Knowing the Self
18422 Prioprioception focuses on your body parts, not on your self, or indexicality [Cappelen/Dever]
18425 We can acquire self-knowledge with mirrors, not just with proprioception and introspection [Cappelen/Dever]
18421 Proprioception is only immune from error if you are certain that it represents the agent [Cappelen/Dever]
17. Mind and Body / C. Functionalism / 1. Functionalism
18419 Folk Functionalism is a Ramsification of our folk psychology [Cappelen/Dever]
18. Thought / A. Modes of Thought / 9. Indexical Thought
18404 It is assumed that indexical content is needed to represent the perspective of perception [Cappelen/Dever]
18407 Indexicality is not significantly connected to agency [Cappelen/Dever]
18427 If some of our thought is tied to its context, it will be hard to communicate it [Cappelen/Dever]
18426 All information is objective, and purely indexical information is not much use [Cappelen/Dever]
18428 You don't remember your house interior just from an experienced viewpoint [Cappelen/Dever]
18429 Our beliefs and desires are not organised around ourselves, but around the world [Cappelen/Dever]
19. Language / C. Assigning Meanings / 5. Fregean Semantics
18413 Fregeans can't agree on what 'senses' are [Cappelen/Dever]
19. Language / C. Assigning Meanings / 8. Possible Worlds Semantics
18417 Possible worlds accounts of content are notoriously coarse-grained [Cappelen/Dever]
19. Language / C. Assigning Meanings / 9. Indexical Semantics
18423 All indexicals can be expressed non-indexically [Cappelen/Dever]
18408 Indexicals are just non-constant in meaning, and don't involve any special concepts [Cappelen/Dever]
18414 Fregeans say 'I' differs in reference, so it must also differ in sense [Cappelen/Dever]
19. Language / F. Communication / 5. Pragmatics / a. Contextual meaning
18406 The basic Kaplan view is that there is truth-conditional content, and contextual character [Cappelen/Dever]
18411 It is proposed that a huge range of linguistic items are context-sensitive [Cappelen/Dever]
20. Action / C. Motives for Action / 2. Acting on Beliefs / b. Action cognitivism
18420 We deny that action involves some special class of beliefs [Cappelen/Dever]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
6004 The cardinal virtues are theoretical (based on knowledge), and others are 'non-theoretical' [Hecato, by Dorandi]