Combining Philosophers

All the ideas for Arcesilaus, John von Neumann and Ned Markosian

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24 ideas

1. Philosophy / G. Scientific Philosophy / 3. Scientism
14001 People who use science to make philosophical points don't realise how philosophical science is [Markosian]
3. Truth / B. Truthmakers / 9. Making Past Truths
13991 Presentism has the problem that if Socrates ceases to exist, so do propositions about him [Markosian]
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
22716 Von Neumann defined ordinals as the set of all smaller ordinals [Neumann, by Poundstone]
12336 A von Neumann ordinal is a transitive set with transitive elements [Neumann, by Badiou]
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]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / a. Nature of possible worlds
14002 Possible worlds must be abstract, because two qualitatively identical worlds are just one world [Markosian]
13. Knowledge Criteria / D. Scepticism / 3. Illusion Scepticism
2667 A false object might give the same presentation as a true one [Arcesilaus, by Cicero]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
14000 'Grabby' truth conditions first select their object, unlike 'searchy' truth conditions [Markosian]
27. Natural Reality / D. Time / 1. Nature of Time / h. Presentism
13990 Presentism is the view that only present objects exist [Markosian]
13992 Presentism says if objects don't exist now, we can't have attitudes to them or relations with them [Markosian]
13994 Presentism seems to entail that we cannot talk about other times [Markosian]
13995 Serious Presentism says things must exist to have relations and properties; Unrestricted version denies this [Markosian]
13996 Maybe Presentists can refer to the haecceity of a thing, after the thing itself disappears [Markosian]
13997 Maybe Presentists can paraphrase singular propositions about the past [Markosian]
13993 Special Relativity denies the absolute present which Presentism needs [Markosian]
27. Natural Reality / D. Time / 2. Passage of Time / k. Temporal truths
13998 Objects in the past, like Socrates, are more like imaginary objects than like remote spatial objects [Markosian]
13999 People are mistaken when they think 'Socrates was a philosopher' says something [Markosian]