Combining Texts

All the ideas for 'fragments/reports', 'Remarks on axiomatised set theory' and 'Treatise 4: The Moral Sense'

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12 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 / a. Axioms for sets
Axiomatising set theory makes it all relative [Skolem]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
Mathematician want performable operations, not propositions about objects [Skolem]
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]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / G. Biology / 3. Evolution
Archelaus said life began in a primeval slime [Archelaus, by Schofield]
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]