Combining Texts

All the ideas for 'fragments/reports', 'Treatise 2: Virtue or Moral Good' and 'The Philosophy of Mathematics'

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23 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
9193 ZF set theory has variables which range over sets, 'equals' and 'member', and extensionality [Dummett]
9194 The main alternative to ZF is one which includes looser classes as well as sets [Dummett]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
9195 Intuitionists reject excluded middle, not for a third value, but for possibility of proof [Dummett]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
9186 First-order logic concerns objects; second-order adds properties, kinds, relations and functions [Dummett]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
9187 Logical truths and inference are characterized either syntactically or semantically [Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
9191 Ordinals seem more basic than cardinals, since we count objects in sequence [Dummett]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
9192 The number 4 has different positions in the naturals and the wholes, with the same structure [Dummett]
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
6248 Reason is too slow and doubtful to guide all actions, which need external and moral senses [Hutcheson]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / c. Ethical intuitionism
6238 We approve of actions by a superior moral sense [Hutcheson]
6239 We dislike a traitor, even if they give us great benefit [Hutcheson]
6240 The moral sense is not an innate idea, but an ability to approve or disapprove in a disinterested way [Hutcheson]
6242 We cannot choose our moral feelings, otherwise bribery could affect them [Hutcheson]
6247 Everyone feels uneasy when seeing others in pain, unless the others are evil [Hutcheson]
22. Metaethics / B. Value / 2. Values / f. Altruism
6244 Human nature seems incapable of universal malice, except what results from self-love [Hutcheson]
22. Metaethics / B. Value / 2. Values / i. Self-interest
6243 As death approaches, why do we still care about family, friends or country? [Hutcheson]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
6246 My action is not made good by a good effect, if I did not foresee and intend it [Hutcheson]
23. Ethics / C. Virtue Theory / 3. Virtues / d. Courage
6241 Contempt of danger is just madness if it is not in some worthy cause [Hutcheson]
23. Ethics / E. Utilitarianism / 1. Utilitarianism
6245 That action is best, which procures the greatest happiness for the greatest number [Hutcheson]
25. Social Practice / C. Rights / 1. Basis of Rights
6251 The loss of perfect rights causes misery, but the loss of imperfect rights reduces social good [Hutcheson]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
1748 Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / G. Biology / 3. Evolution
5989 Archelaus said life began in a primeval slime [Archelaus, by Schofield]
28. God / A. Divine Nature / 6. Divine Morality / c. God is the good
6250 We say God is good if we think everything he does aims at the happiness of his creatures [Hutcheson]
28. God / A. Divine Nature / 6. Divine Morality / d. God decrees morality
6249 If goodness is constituted by God's will, it is a tautology to say God's will is good [Hutcheson]