Combining Philosophers

All the ideas for Hermarchus, Paul Johnson and R Kaplan / E Kaplan

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23 ideas

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]
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 / D. Ideologies / 10. Theocracy
7337 In Mosaic legal theory, crimes are sins and sins are crimes [Johnson,P]
7339 Because human life is what is sacred, Mosaic law has no death penalty for property violations [Johnson,P]
25. Social Practice / A. Freedoms / 1. Slavery
7353 The Pharisees undermined slavery, by giving slaves responsibility and status in law courts [Johnson,P]
25. Social Practice / B. Equalities / 3. Legal equality
7340 Mosaic law was the first to embody the rule of law, and equality before the law [Johnson,P]
25. Social Practice / F. Life Issues / 1. Causing Death
7338 Man's life is sacred, because it is made in God's image [Johnson,P]
25. Social Practice / F. Life Issues / 6. Animal Rights
6005 Animals are dangerous and nourishing, and can't form contracts of justice [Hermarchus, by Sedley]
29. Religion / A. Polytheistic Religion / 2. Greek Polytheism
7348 The Jews sharply distinguish human and divine, but the Greeks pull them closer together [Johnson,P]
29. Religion / B. Monotheistic Religion / 2. Judaism
7336 A key moment is the idea of a single moral God, who imposes his morality on humanity [Johnson,P]
7341 Sampson illustrates the idea that religious heroes often begin as outlaws and semi-criminals [Johnson,P]
7342 Isaiah moved Israelite religion away from the local, onto a more universal plane [Johnson,P]
7355 The Torah pre-existed creation, and was its blueprint [Johnson,P]
7344 Judaism involves circumcision, Sabbath, Passover, Pentecost, Tabernacles, New Year, and Atonement [Johnson,P]
7345 In exile the Jews became a nomocracy [Johnson,P]
29. Religion / B. Monotheistic Religion / 3. Zoroastrianism
7347 Zoroastrians believed in one eternal beneficent being, Creator through the holy spirit [Johnson,P]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
7349 Immortality based on judgement of merit was developed by the Egyptians (not the Jews) [Johnson,P]
7354 The main doctrine of the Pharisees was belief in resurrection and the afterlife [Johnson,P]
29. Religion / D. Religious Issues / 2. Immortality / d. Heaven
7356 Pious Jews saw heaven as a vast library [Johnson,P]