Combining Philosophers

All the ideas for Victor Velarde-Mayol, John von Neumann and Jody Azzouni

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25 ideas

3. Truth / B. Truthmakers / 12. Rejecting Truthmakers
12442 'Mickey Mouse is a fictional mouse' is true without a truthmaker [Azzouni]
3. Truth / H. Deflationary Truth / 1. Redundant Truth
12439 Truth is dispensable, by replacing truth claims with the sentence itself [Azzouni]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
12437 Truth lets us assent to sentences we can't explicitly exhibit [Azzouni]
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]
5. Theory of Logic / F. Referring in Logic / 1. Naming / e. Empty names
12446 Names function the same way, even if there is no object [Azzouni]
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]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
12447 That all existents have causal powers is unknowable; the claim is simply an epistemic one [Azzouni]
7. Existence / D. Theories of Reality / 7. Fictionalism
12445 If fictional objects really don't exist, then they aren't abstract objects [Azzouni]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
12449 Modern metaphysics often derives ontology from the logical forms of sentences [Azzouni]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / b. Commitment of quantifiers
12440 If objectual quantifiers ontologically commit, so does the metalanguage for its semantics [Azzouni]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
12438 In the vernacular there is no unequivocal ontological commitment [Azzouni]
12441 We only get ontology from semantics if we have already smuggled it in [Azzouni]
9. Objects / A. Existence of Objects / 4. Impossible objects
12448 Things that don't exist don't have any properties [Azzouni]
11. Knowledge Aims / C. Knowing Reality / 4. Solipsism
21227 The Cogito demands a bridge to the world, and ends in isolating the ego [Velarde-Mayol]
12. Knowledge Sources / B. Perception / 3. Representation
21215 The representation may not be a likeness [Velarde-Mayol]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / d. Knowing essences
21219 Find the essence by varying an object, to see what remains invariable [Velarde-Mayol]
27. Natural Reality / F. Chemistry / 3. Periodic Table
12450 The periodic table not only defines the elements, but also excludes other possible elements [Azzouni]