Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'fragments/reports' and 'Review of Chihara 'Struct. Accnt of Maths''

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11 ideas

6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set theory is the standard background for modern mathematics [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralists take the name 'R' of the reals to be a variable ranging over structures, not a structure [Burgess]
There is no one relation for the real number 2, as relations differ in different models [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
If set theory is used to define 'structure', we can't define set theory structurally [Burgess]
Abstract algebra concerns relations between models, not common features of all the models [Burgess]
How can mathematical relations be either internal, or external, or intrinsic? [Burgess]
10. Modality / A. Necessity / 10. Impossibility
From the necessity of the past we can infer the impossibility of what never happens [Diod.Cronus, by White,MJ]
10. Modality / B. Possibility / 1. Possibility
The Master Argument seems to prove that only what will happen is possible [Diod.Cronus, by Epictetus]
10. Modality / B. Possibility / 8. Conditionals / d. Non-truthfunction conditionals
Conditionals are true when the antecedent is true, and the consequent has to be true [Diod.Cronus]
19. Language / D. Propositions / 4. Mental Propositions
Thought is unambiguous, and you should stick to what the speaker thinks they are saying [Diod.Cronus, by Gellius]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]