Combining Texts

All the ideas for 'Defending the Axioms', 'Issues of Pragmaticism' and 'Treatise 4: The Moral Sense'

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14 ideas

2. Reason / A. Nature of Reason / 1. On Reason
Reason is our power of finding out true propositions [Hutcheson]
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]
19. Language / A. Nature of Meaning / 1. Meaning
The meaning or purport of a symbol is all the rational conduct it would lead to [Peirce]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
Can't the moral sense make mistakes, as the other senses do? [Hutcheson]
22. Metaethics / C. The Good / 2. Happiness / a. Nature of happiness
Happiness is a pleasant sensation, or continued state of such sensations [Hutcheson]
23. Ethics / D. Deontological Ethics / 1. Deontology
You can't form moral rules without an end, which needs feelings and a moral sense [Hutcheson]
28. God / A. Divine Nature / 6. Divine Morality / a. Divine morality
We are asked to follow God's ends because he is our benefactor, but why must we do that? [Hutcheson]
Why may God not have a superior moral sense very similar to ours? [Hutcheson]