Combining Texts

All the ideas for 'A Pragmatic Conception of the A Priori', 'The Second Coming' and 'The Philosophy of Mathematics'

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22 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
23531 Philosophers should interpret the world, by expressing its possibilities [Berardi]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
9193 ZF set theory has variables which range over sets, 'equals' and 'member', and extensionality [Dummett]
9194 The main alternative to ZF is one which includes looser classes as well as sets [Dummett]
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
9358 There are several logics, none of which will ever derive falsehoods from truth [Lewis,CI]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
9357 Excluded middle is just our preference for a simplified dichotomy in experience [Lewis,CI]
9195 Intuitionists reject excluded middle, not for a third value, but for possibility of proof [Dummett]
5. Theory of Logic / F. Referring in Logic / 1. Naming / a. Names
9364 Names represent a uniformity in experience, or they name nothing [Lewis,CI]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
9186 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
9187 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
9191 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
9192 The number 4 has different positions in the naturals and the wholes, with the same structure [Dummett]
7. Existence / A. Nature of Existence / 3. Being / d. Non-being
23538 Nothingness only exists in consciousness [Berardi]
10. Modality / A. Necessity / 11. Denial of Necessity
9362 Necessary truths are those we will maintain no matter what [Lewis,CI]
12. Knowledge Sources / A. A Priori Knowledge / 7. A Priori from Convention
9365 We can maintain a priori principles come what may, but we can also change them [Lewis,CI]
16. Persons / F. Free Will / 5. Against Free Will
23532 The delusion of free will brings a sense of guilt [Berardi]
18. Thought / E. Abstraction / 2. Abstracta by Selection
9361 We have to separate the mathematical from physical phenomena by abstraction [Lewis,CI]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
23537 American white men trusted the philosophy of winning, and then discovered losing [Berardi]
24. Political Theory / D. Ideologies / 7. Communitarianism / b. Against communitarianism
23536 Community is now a nostalgic memory, which no longer exists [Berardi]
24. Political Theory / D. Ideologies / 9. Communism
23534 Communism failed to unite western workers with the oppressed of the south [Berardi]
24. Political Theory / D. Ideologies / 11. Capitalism
23533 The economy has replaced medieval theocracy at the centre of our society [Berardi]
24. Political Theory / D. Ideologies / 14. Nationalism
23535 Western workers turn to nationalism, to avert the effects of globalisation [Berardi]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / a. Scientific essentialism
9363 Science seeks classification which will discover laws, essences, and predictions [Lewis,CI]