Combining Texts

All the ideas for 'works', 'The Philosophy of Mathematics' and 'On Anger (Book 3)'

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13 ideas

1. Philosophy / G. Scientific Philosophy / 1. Aims of Science
Realism is the only philosophy of science that doesn't make the success of science a miracle [Putnam]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
ZF set theory has variables which range over sets, 'equals' and 'member', and extensionality [Dummett]
The main alternative to ZF is one which includes looser classes as well as sets [Dummett]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Intuitionists reject excluded middle, not for a third value, but for possibility of proof [Dummett]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
First-order logic concerns objects; second-order adds properties, kinds, relations and functions [Dummett]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
Logical truths and inference are characterized either syntactically or semantically [Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Ordinals seem more basic than cardinals, since we count objects in sequence [Dummett]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The number 4 has different positions in the naturals and the wholes, with the same structure [Dummett]
7. Existence / D. Theories of Reality / 4. Anti-realism
Putnam says anti-realism is a bad explanation of accurate predictions [Putnam, by Okasha]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
True greatness is never allowing events to disturb you [Seneca]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Every night I critically review how I have behaved during the day [Seneca]
23. Ethics / C. Virtue Theory / 3. Virtues / b. Temperance
Anger is an extreme vice, threatening sanity, and gripping whole states [Seneca]
Anger is a vice which afflicts good men as well as bad [Seneca]