Combining Texts

All the ideas for 'Defending the Axioms', 'works' and 'Environmental Politics: very short intro'

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17 ideas

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]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
We can't accept Aristotle's naturalism about persons, because it is normative and unscientific [Williams,B, by Hursthouse]
24. Political Theory / C. Ruling a State / 4. Changing the State / b. Devolution
The environment needs localised politics, with its care for the land [Dobson]
24. Political Theory / D. Ideologies / 1. Ideology
An ideology judges things now, and offers an ideal, with a strategy for reaching it [Dobson]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
Ecologism is often non-liberal, by claiming to know other people's best interests [Dobson]
24. Political Theory / D. Ideologies / 8. Socialism
Socialism can be productive and centralised, or less productive and decentralised [Dobson]
24. Political Theory / D. Ideologies / 12. Feminism
Difference feminists say women differ fundamentally from men [Dobson]
24. Political Theory / D. Ideologies / 13. Green Politics
A million years is a proper unit of political time [Dobson]
Ecologism says growth must be reduced, and efficiency is not enough [Dobson]
For the environment, affluence and technology matter as much as population size [Dobson]
We currently value the present fourteen times more highly than the future [Dobson]