Combining Texts

All the ideas for 'Idealism: a critical survey', 'The Art of the Infinite' and 'Culture and Value'

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

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9 ideas

1. Philosophy / A. Wisdom / 2. Wise People

16010

While faith is a passion (as Kierkegaard says), wisdom is passionless [Wittgenstein]

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 / B. Internal Justification / 5. Coherentism / b. Pro-coherentism

21513

We can no more expect a precise definition of coherence than we can of the moral ideal [Ewing]

13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / c. Coherentism critique

21497

If undetailed, 'coherence' is just a vague words that covers all possible arguments [Ewing]

14. Science / C. Induction / 3. Limits of Induction

15713

The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan]