Combining Texts

All the ideas for 'Classical Cosmology (frags)', 'The Metaphysics of Scientific Realism' and 'Russell's Mathematical Logic'

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35 ideas

1. Philosophy / E. Nature of Metaphysics / 1. Nature of Metaphysics
12667 Metaphysics aims at the simplest explanation, without regard to testability [Ellis]
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 / 1. Overview of Logic
12666 We can base logic on acceptability, and abandon the Fregean account by truth-preservation [Ellis]
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 / 1. Foundations for Mathematics
12688 Mathematics is the formal study of the categorical dimensions of things [Ellis]
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]
7. Existence / B. Change in Existence / 2. Processes
12683 Objects and substances are a subcategory of the natural kinds of processes [Ellis]
7. Existence / B. Change in Existence / 4. Events / c. Reduction of events
12670 A physical event is any change of distribution of energy [Ellis]
8. Modes of Existence / B. Properties / 5. Natural Properties
12673 Physical properties are those relevant to how a physical system might act [Ellis]
8. Modes of Existence / B. Properties / 6. Categorical Properties
12665 I support categorical properties, although most people only want causal powers [Ellis]
12682 Essentialism needs categorical properties (spatiotemporal and numerical relations) and dispositions [Ellis]
12684 Spatial, temporal and numerical relations have causal roles, without being causal [Ellis]
8. Modes of Existence / B. Properties / 11. Properties as Sets
12672 Properties and relations are discovered, so they can't be mere sets of individuals [Ellis]
8. Modes of Existence / C. Powers and Dispositions / 2. Powers as Basic
12676 Causal powers can't rest on things which lack causal power [Ellis]
8. Modes of Existence / C. Powers and Dispositions / 5. Powers and Properties
23781 Categoricals exist to influence powers. Such as structures, orientations and magnitudes [Ellis, by Williams,NE]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / b. Dispositions and powers
12686 Causal powers are a proper subset of the dispositional properties [Ellis]
9. Objects / C. Structure of Objects / 1. Structure of an Object
12685 Categorical properties depend only on the structures they represent [Ellis]
9. Objects / D. Essence of Objects / 5. Essence as Kind
12679 A real essence is a kind's distinctive properties [Ellis]
10. Modality / A. Necessity / 5. Metaphysical Necessity
12668 Metaphysical necessity holds between things in the world and things they make true [Ellis]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
12687 Metaphysical necessities are those depending on the essential nature of things [Ellis]
14. Science / B. Scientific Theories / 2. Aim of Science
12669 Science aims to explain things, not just describe them [Ellis]
26. Natural Theory / B. Natural Kinds / 2. Defining Kinds
12681 There are natural kinds of processes [Ellis]
26. Natural Theory / B. Natural Kinds / 4. Source of Kinds
12680 Natural kind structures go right down to the bottom level [Ellis]
26. Natural Theory / D. Laws of Nature / 3. Laws and Generalities
12675 Laws of nature are just descriptions of how things are disposed to behave [Ellis]
27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces
12671 I deny forces as entities that intervene in causation, but are not themselves causal [Ellis]
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / a. Energy
12674 Energy is the key multi-valued property, vital to scientific realism [Ellis]
27. Natural Reality / D. Time / 1. Nature of Time / a. Absolute time
12689 Simultaneity can be temporal equidistance from the Big Bang [Ellis]
27. Natural Reality / D. Time / 3. Parts of Time / e. Present moment
12690 The present is the collapse of the light wavefront from the Big Bang [Ellis]
27. Natural Reality / E. Cosmology / 1. Cosmology
5994 Is the cosmos open or closed, mechanical or teleological, alive or inanimate, and created or eternal? [Robinson,TM, by PG]