Combining Texts

All the ideas for 'fragments/reports', 'Believing the Axioms I' and 'Treatise 4: The Moral Sense'

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18 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
New axioms are being sought, to determine the size of the continuum [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / b. Axiom of Extensionality I
The Axiom of Extensionality seems to be analytic [Maddy]
Extensional sets are clearer, simpler, unique and expressive [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
The Axiom of Infinity states Cantor's breakthrough that launched modern mathematics [Maddy]
Infinite sets are essential for giving an account of the real numbers [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / g. Axiom of Powers VI
The Power Set Axiom is needed for, and supported by, accounts of the continuum [Maddy]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
Efforts to prove the Axiom of Choice have failed [Maddy]
Modern views say the Choice set exists, even if it can't be constructed [Maddy]
A large array of theorems depend on the Axiom of Choice [Maddy]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
The Iterative Conception says everything appears at a stage, derived from the preceding appearances [Maddy]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
Limitation of Size is a vague intuition that over-large sets may generate paradoxes [Maddy]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
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]