Combining Philosophers

All the ideas for Hermarchus, R Kaplan / E Kaplan and Auguste Comte

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21 ideas

1. Philosophy / B. History of Ideas / 1. History of Ideas
12104 All ideas must be understood historically [Comte]
12105 Our knowledge starts in theology, passes through metaphysics, and ends in positivism [Comte]
1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
12112 Metaphysics is just the oversubtle qualification of abstract names for phenomena [Comte]
1. Philosophy / G. Scientific Philosophy / 2. Positivism
12106 Positivism gives up absolute truth, and seeks phenomenal laws, by reason and observation [Comte]
7491 The phases of human thought are theological, then metaphysical, then positivist [Comte, by Watson]
12111 Positivism is the final state of human intelligence [Comte]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
12114 Science can drown in detail, so we need broad scientists (to keep out the metaphysicians) [Comte]
12116 Only positivist philosophy can terminate modern social crises [Comte]
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]
12. Knowledge Sources / D. Empiricism / 4. Pro-Empiricism
12108 All real knowledge rests on observed facts [Comte]
14. Science / A. Basis of Science / 1. Observation
12109 We must observe in order to form theories, but connected observations need prior theories [Comte]
14. Science / C. Induction / 3. Limits of Induction
15713 The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
12107 Positivism explains facts by connecting particular phenomena with general facts [Comte]
16. Persons / C. Self-Awareness / 3. Limits of Introspection
12115 Introspection is pure illusion; we can obviously observe everything except ourselves [Comte]
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]
26. Natural Theory / C. Causation / 7. Eliminating causation
12113 The search for first or final causes is futile [Comte]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / e. Anti scientific essentialism
12110 We can never know origins, purposes or inner natures [Comte]