Combining Texts

All the ideas for 'Defending the Axioms', 'Spinoza's Ethics' and 'Intro to 'Communitarianism and Individualism''

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14 ideas

1. Philosophy / B. History of Ideas / 5. Later European Thought
Only in the 1780s did it become acceptable to read Spinoza [Lord]
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]
15. Nature of Minds / C. Capacities of Minds / 10. Conatus/Striving
Hobbes and Spinoza use 'conatus' to denote all endeavour for advantage in nature [Lord]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
Liberalism is minimal government, or individual rights, or equality [Avineri/De-Shalit]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
Can individualist theories justify an obligation to fight in a war? [Avineri/De-Shalit]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
Autonomy is better achieved within a community [Avineri/De-Shalit]
Communitarians avoid oppression for the common good, by means of small mediating communities [Avineri/De-Shalit]
24. Political Theory / D. Ideologies / 7. Communitarianism / b. Against communitarianism
If our values are given to us by society then we have no grounds to criticise them [Avineri/De-Shalit]