Combining Philosophers

All the ideas for Herodotus, R Kaplan / E Kaplan and Wolfgang von Goethe

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14 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]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
Many people imagine that to experience is to understand [Goethe]
13. Knowledge Criteria / E. Relativism / 3. Subjectivism
Man never understands how anthropomorphic he is [Goethe]
14. Science / C. Induction / 3. Limits of Induction
The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan]
16. Persons / C. Self-Awareness / 2. Knowing the Self
We gain self-knowledge through action, not thought - especially when doing our duty [Goethe]
21. Aesthetics / A. Aesthetic Experience / 5. Natural Beauty
Beauty is a manifestation of secret natural laws [Goethe]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
The happiest people link the beginning and end of life [Goethe]
24. Political Theory / B. Nature of a State / 1. Purpose of a State
The best form of government teaches us to govern ourselves [Goethe]
25. Social Practice / C. Rights / 1. Basis of Rights
To get duties from people without rights, you must pay them well [Goethe]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
The Egyptians were the first to say the soul is immortal and reincarnated [Herodotus]