Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Philosophy of Mathematics' and 'Anselm and Actuality'

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10 ideas

4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic

16456

For modality Lewis rejected boxes and diamonds, preferring worlds, and an index for the actual one [Lewis, by Stalnaker]

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 / 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]

23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues

7903	The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]