Combining Philosophers

All the ideas for Agrippa, Andrew Dobson and R Kaplan / E Kaplan

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21 ideas

2. Reason / A. Nature of Reason / 9. Limits of Reason
1815 Reasoning needs arbitrary faith in preliminary hypotheses (Mode 14) [Agrippa, by Diog. Laertius]
1812 All discussion is full of uncertainty and contradiction (Mode 11) [Agrippa, by Diog. Laertius]
1811 Proofs often presuppose the thing to be proved (Mode 15) [Agrippa, by Diog. Laertius]
1813 All reasoning endlessly leads to further reasoning (Mode 12) [Agrippa, by Diog. Laertius]
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]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / a. Agrippa's trilemma
8850 Agrippa's Trilemma: justification is infinite, or ends arbitrarily, or is circular [Agrippa, by Williams,M]
13. Knowledge Criteria / E. Relativism / 1. Relativism
1814 Everything is perceived in relation to another thing (Mode 13) [Agrippa, by Diog. Laertius]
14. Science / C. Induction / 3. Limits of Induction
15713 The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan]
24. Political Theory / C. Ruling a State / 4. Changing the State / b. Devolution
23429 The environment needs localised politics, with its care for the land [Dobson]
24. Political Theory / D. Ideologies / 1. Ideology
23424 An ideology judges things now, and offers an ideal, with a strategy for reaching it [Dobson]
24. Political Theory / D. Ideologies / 6. Liberalism / g. Liberalism critique
23426 Ecologism is often non-liberal, by claiming to know other people's best interests [Dobson]
24. Political Theory / D. Ideologies / 8. Socialism
23427 Socialism can be productive and centralised, or less productive and decentralised [Dobson]
24. Political Theory / D. Ideologies / 12. Feminism
23428 Difference feminists say women differ fundamentally from men [Dobson]
24. Political Theory / D. Ideologies / 13. Green Politics
23430 A million years is a proper unit of political time [Dobson]
23425 Ecologism says growth must be reduced, and efficiency is not enough [Dobson]
23423 We currently value the present fourteen times more highly than the future [Dobson]
23422 For the environment, affluence and technology matter as much as population size [Dobson]