Combining Texts

All the ideas for 'Parthood and Identity across Time', 'Treatise 2: Virtue or Moral Good' and 'The Art of the Infinite'

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21 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
15717 Using Choice, you can cut up a small ball and make an enormous one from the pieces [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
15712 1 and 0, then add for naturals, subtract for negatives, divide for rationals, take roots for irrationals [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
15711 The rationals are everywhere - the irrationals are everywhere else [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
15714 'Commutative' laws say order makes no difference; 'associative' laws say groupings make no difference [Kaplan/Kaplan]
15715 'Distributive' laws say if you add then multiply, or multiply then add, you get the same result [Kaplan/Kaplan]
9. Objects / E. Objects over Time / 5. Temporal Parts
13267 Temporal parts is a crazy doctrine, because it entails constantly creating stuff ex nihilo [Thomson, by Koslicki]
14. Science / C. Induction / 3. Limits of Induction
15713 The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan]
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]
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]