Combining Texts

All the ideas for 'Defending the Axioms', 'The Rejection of Consequentialism' and 'Buddhacarita'

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11 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]
16. Persons / E. Rejecting the Self / 4. Denial of the Self
When the Buddha reached the highest level of insight, he could detect no self in the world [Ashvaghosha]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
If the aim is good outcomes, why are killings worse than deaths? [Scheffler, by Foot]
29. Religion / C. Spiritual Disciplines / 3. Buddhism
The first stage of trance is calm amidst applied and discursive thinking [Ashvaghosha]
The Buddha sought ultimate reality and the final goal of existence in his meditations [Ashvaghosha]