Combining Texts

All the ideas for 'Defending the Axioms', 'Open Society and Its Enemies:Hegel and Marx' and 'The Second Coming'

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16 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
Philosophers should interpret the world, by expressing its possibilities [Berardi]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
If two mathematical themes coincide, that suggest a single deep truth [Maddy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
7. Existence / A. Nature of Existence / 3. Being / d. Non-being
Nothingness only exists in consciousness [Berardi]
9. Objects / D. Essence of Objects / 15. Against Essentialism
Popper felt that ancient essentialism was a bar to progress [Popper, by Mautner]
16. Persons / F. Free Will / 5. Against Free Will
The delusion of free will brings a sense of guilt [Berardi]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
American white men trusted the philosophy of winning, and then discovered losing [Berardi]
24. Political Theory / D. Ideologies / 7. Communitarianism / b. Against communitarianism
Community is now a nostalgic memory, which no longer exists [Berardi]
24. Political Theory / D. Ideologies / 9. Communism
Communism failed to unite western workers with the oppressed of the south [Berardi]
24. Political Theory / D. Ideologies / 11. Capitalism
The economy has replaced medieval theocracy at the centre of our society [Berardi]
24. Political Theory / D. Ideologies / 14. Nationalism
Western workers turn to nationalism, to avert the effects of globalisation [Berardi]