Combining Texts

All the ideas for 'fragments/reports', 'Procedural republic and unencumbered self' and 'The Art of the Infinite'

expand these ideas     |    start again     |     specify just one area for these texts


13 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
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
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
The rationals are everywhere - the irrationals are everywhere else [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
'Commutative' laws say order makes no difference; 'associative' laws say groupings make no difference [Kaplan/Kaplan]
'Distributive' laws say if you add then multiply, or multiply then add, you get the same result [Kaplan/Kaplan]
14. Science / C. Induction / 3. Limits of Induction
The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan]
23. Ethics / D. Deontological Ethics / 2. Duty
Kant's moral law has no foundation - because that would undermine its priority [Sandel]
24. Political Theory / D. Ideologies / 5. Democracy / d. Representative democracy
Modern liberal rights in democracies protect individuals against the majority [Sandel]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
Liberals say rights always come first, and justice is neutral on social values [Sandel]
24. Political Theory / D. Ideologies / 6. Liberalism / b. Liberal individualism
Liberal justice means the withdrawal of the self, as transcendental or as unencumbered [Sandel]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
Liberalism concerns rights, and communitarianism concerns the common good [Sandel, by Avineri/De-Shalit]
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]