Combining Texts

All the ideas for 'Letter to Shumacher', 'Procedural republic and unencumbered self' and 'Constructibility and Mathematical Existence'

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10 ideas

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
We could talk of open sentences, instead of sets [Chihara, by Shapiro]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
Actual infinities are not allowed in mathematics - only limits which may increase without bound [Gauss]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Chihara's system is a variant of type theory, from which he can translate sentences [Chihara, by Shapiro]
We can replace type theory with open sentences and a constructibility quantifier [Chihara, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
Introduce a constructibility quantifiers (Cx)Φ - 'it is possible to construct an x such that Φ' [Chihara, by Shapiro]
23. Ethics / D. Deontological Ethics / 2. Duty
Kant's moral law has no foundation - because that would undermine its priority [Sandel]
24. Political Theory / D. Ideologies / 5. Democracy / d. Representative democracy
Modern liberal rights in democracies protect individuals against the majority [Sandel]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
Liberals say rights always come first, and justice is neutral on social values [Sandel]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
Liberal justice means the withdrawal of the self, as transcendental or as unencumbered [Sandel]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
Liberalism concerns rights, and communitarianism concerns the common good [Sandel, by Avineri/De-Shalit]