Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Analyzing Modality' and 'Philosophy of Mathematics'

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23 ideas

4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
23445 Naïve set theory says any formula defines a set, and coextensive sets are identical [Linnebo]
5. Theory of Logic / G. Quantification / 3. Objectual Quantification
11115 'All horses' either picks out the horses, or the things which are horses [Jubien]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
23447 In classical semantics singular terms refer, and quantifiers range over domains [Linnebo]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
23443 The axioms of group theory are not assertions, but a definition of a structure [Linnebo]
23444 To investigate axiomatic theories, mathematics needs its own foundational axioms [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
23446 You can't prove consistency using a weaker theory, but you can use a consistent theory [Linnebo]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
23448 Mathematics is the study of all possible patterns, and is thus bound to describe the world [Linnebo]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
23441 Logical truth is true in all models, so mathematical objects can't be purely logical [Linnebo]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
23442 Game Formalism has no semantics, and Term Formalism reduces the semantics [Linnebo]
9. Objects / A. Existence of Objects / 1. Physical Objects
11116 Being a physical object is our most fundamental category [Jubien]
9. Objects / A. Existence of Objects / 5. Individuation / d. Individuation by haecceity
11117 Haecceities implausibly have no qualities [Jubien]
10. Modality / A. Necessity / 11. Denial of Necessity
11119 De re necessity is just de dicto necessity about object-essences [Jubien]
10. Modality / C. Sources of Modality / 5. Modality from Actuality
11118 Modal propositions transcend the concrete, but not the actual [Jubien]
11108 Your properties, not some other world, decide your possibilities [Jubien]
11111 Modal truths are facts about parts of this world, not about remote maximal entities [Jubien]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
11105 We have no idea how many 'possible worlds' there might be [Jubien]
11107 If there are no other possible worlds, do we then exist necessarily? [Jubien]
11106 If all possible worlds just happened to include stars, their existence would be necessary [Jubien]
11112 Possible worlds just give parallel contingencies, with no explanation at all of necessity [Jubien]
11109 If other worlds exist, then they are scattered parts of the actual world [Jubien]
11113 Worlds don't explain necessity; we use necessity to decide on possible worlds [Jubien]
10. Modality / E. Possible worlds / 3. Transworld Objects / c. Counterparts
11110 We mustn't confuse a similar person with the same person [Jubien]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
7903 The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]