Combining Texts

All the ideas for 'Truth (frags)', 'The Art of the Infinite' and 'Political Ideals'

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19 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]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
Theoretical and practical politics are both concerned with the best lives for individuals [Russell]
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 / C. Virtue Theory / 3. Virtues / h. Respect
Individuals need creativity, reverence for others, and self-respect [Russell]
24. Political Theory / C. Ruling a State / 4. Changing the State / b. Devolution
Democracy is inadequate without a great deal of devolution [Russell]
We would not want UK affairs to be settled by a world parliament [Russell]
24. Political Theory / D. Ideologies / 2. Anarchism
Anarchy does not maximise liberty [Russell]
24. Political Theory / D. Ideologies / 5. Democracy / c. Direct democracy
Groups should be autonomous, with a neutral authority as arbitrator [Russell]
24. Political Theory / D. Ideologies / 5. Democracy / f. Against democracy
Unfortunately ordinary voters can't detect insincerity [Russell]
On every new question the majority is always wrong at first [Russell]
24. Political Theory / D. Ideologies / 8. Socialism
When the state is the only employer, there is no refuge from the prejudices of other people [Russell]
24. Political Theory / D. Ideologies / 11. Capitalism
Men unite in pursuit of material things, and idealise greed as part of group loyalty [Russell]
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
We need security and liberty, and then encouragement of creativity [Russell]
25. Social Practice / C. Rights / 4. Property rights
The right to own land gives a legal right to a permanent income [Russell]
29. Religion / D. Religious Issues / 2. Immortality / d. Heaven
That our heaven is a dull place reflects the misery of excessive work in life [Russell]