Combining Texts

All the ideas for 'Appearance and Reality', 'Extrinsic Properties' and 'Russell's Mathematical Logic'

expand these ideas     |    start again     |     specify just one area for these texts

21 ideas

1. Philosophy / E. Nature of Metaphysics / 5. Metaphysics beyond Science
5182 Claims about 'the Absolute' are not even verifiable in principle [Ayer on Bradley]
1. Philosophy / E. Nature of Metaphysics / 7. Against Metaphysics
6864 Metaphysics is finding bad reasons for instinctive beliefs [Bradley]
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 / F. Referring in Logic / 1. Naming / b. Names as descriptive
10999 Names need a means of reidentifying their referents [Bradley, by Read]
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 / A. Relations / 2. Internal Relations
6422 Internal relations are said to be intrinsic properties of two terms, and of the whole they compose [Bradley, by Russell]
7966 Relations must be linked to their qualities, but that implies an infinite regress of relations [Bradley]
8. Modes of Existence / B. Properties / 4. Intrinsic Properties
14979 Being alone doesn't guarantee intrinsic properties; 'being alone' is itself extrinsic [Lewis, by Sider]
15454 Extrinsic properties come in degrees, with 'brother' less extrinsic than 'sibling' [Lewis]
9. Objects / A. Existence of Objects / 5. Individuation / b. Individuation by properties
15455 Total intrinsic properties give us what a thing is [Lewis]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
6404 British Idealists said reality is a single Mind which experiences itself [Bradley, by Grayling]
22299 Bradley's objective idealism accepts reality (the Absolute), but says we can't fully describe it [Bradley, by Potter]
21343 Qualities and relations are mere appearance; the Absolute is a single undifferentiated substance [Bradley, by Heil]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / e. The One
6406 Reality is one, because plurality implies relations, and they assert a superior unity [Bradley]