Combining Texts

All the ideas for 'The Evolution of Modern Metaphysics', 'The Symposium' and 'Russell's Mathematical Logic'

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30 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
14179 The finest branch of wisdom is justice and moderation in ordering states and families [Plato]
1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
21959 Metaphysics is the most general attempt to make sense of things [Moore,AW]
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]
8. Modes of Existence / D. Universals / 6. Platonic Forms / a. Platonic Forms
1607 Diotima said the Forms are the objects of desire in philosophical discourse [Plato, by Roochnik]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
21958 Appearances are nothing beyond representations, which is transcendental ideality [Moore,AW]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / b. Need for justification
174 True opinion without reason is midway between wisdom and ignorance [Plato]
16. Persons / E. Rejecting the Self / 1. Self as Indeterminate
181 Only the gods stay unchanged; we replace our losses with similar acquisitions [Plato]
180 We call a person the same throughout life, but all their attributes change [Plato]
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
4026 Beauty is harmony with what is divine, and ugliness is lack of such harmony [Plato]
172 Love of ugliness is impossible [Plato]
173 Beauty and goodness are the same [Plato]
21. Aesthetics / A. Aesthetic Experience / 5. Natural Beauty
183 Stage two is the realisation that beauty of soul is of more value than beauty of body [Plato]
184 Progress goes from physical beauty, to moral beauty, to the beauty of knowledge, and reaches absolute beauty [Plato]
21. Aesthetics / B. Nature of Art / 8. The Arts / a. Music
171 Music is a knowledge of love in the realm of harmony and rhythm [Plato]
22. Metaethics / B. Value / 2. Values / g. Love
176 Love follows beauty, wisdom is exceptionally beautiful, so love follows wisdom [Plato]
14177 Love assists men in achieving merit and happiness [Plato]
179 Love is desire for perpetual possession of the good [Plato]
22. Metaethics / C. The Good / 1. Goodness / d. Good as virtue
177 If a person is good they will automatically become happy [Plato]
22. Metaethics / C. The Good / 2. Happiness / b. Eudaimonia
14178 Happiness is secure enjoyment of what is good and beautiful [Plato]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
170 The only slavery which is not dishonourable is slavery to excellence [Plato]
182 The first step on the right path is the contemplation of physical beauty when young [Plato]
28. God / A. Divine Nature / 3. Divine Perfections
175 Gods are not lovers of wisdom, because they are already wise [Plato]