Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Principle Doctrines ('Kuriai Doxai') (frags)' and 'Russell's Mathematical Logic'

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21 ideas

1. Philosophy / A. Wisdom / 2. Wise People
14519 It is a great good to show reverence for a wise man [Epicurus]
1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
14518 In the study of philosophy, pleasure and knowledge arrive simultaneously [Epicurus]
2. Reason / D. Definition / 8. Impredicative Definition
10041 Impredicative Definitions refer to the totality to which the object itself belongs [Gödel]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
21716 In simple type theory the axiom of Separation is better than Reducibility [Gödel, by Linsky,B]
5. Theory of Logic / A. Overview of Logic / 8. Logic of Mathematics
10035 Mathematical Logic is a non-numerical branch of mathematics, and the supreme science [Gödel]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
10042 Reference to a totality need not refer to a conjunction of all its elements [Gödel]
5. Theory of Logic / K. Features of Logics / 8. Enumerability
10038 A logical system needs a syntactical survey of all possible expressions [Gödel]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
10046 The generalized Continuum Hypothesis asserts a discontinuity in cardinal numbers [Gödel]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
10039 Some arithmetical problems require assumptions which transcend arithmetic [Gödel]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
10043 Mathematical objects are as essential as physical objects are for perception [Gödel]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
10045 Impredicative definitions are admitted into ordinary mathematics [Gödel]
9. Objects / A. Existence of Objects / 5. Individuation / b. Individuation by properties
14524 Bodies are combinations of shape, size, resistance and weight [Epicurus]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
14521 If everything is by necessity, then even denials of necessity are by necessity [Epicurus]
22. Metaethics / C. The Good / 2. Happiness / c. Value of happiness
14522 What happens to me if I obtain all my desires, and what if I fail? [Epicurus]
22. Metaethics / C. The Good / 3. Pleasure / e. Role of pleasure
3563 Pleasure and virtue entail one another [Epicurus]
23. Ethics / B. Contract Ethics / 1. Contractarianism
3560 Justice is merely a contract about not harming or being harmed [Epicurus]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
14517 We value our own character, whatever it is, and we should respect the characters of others [Epicurus]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
7903 The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
14513 Justice is a pledge of mutual protection [Epicurus]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / c. Social contract
14515 A law is not just if it is not useful in mutual associations [Epicurus]
25. Social Practice / F. Life Issues / 4. Suicide
14520 It is small-minded to find many good reasons for suicide [Epicurus]