Combining Texts

All the ideas for 'A Future for Presentism', 'Two Chief World Systems' and 'Russell's Mathematical Logic'

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24 ideas

2. Reason / B. Laws of Thought / 2. Sufficient Reason
14018 Is Sufficient Reason self-refuting (no reason to accept it!), or is it a legitimate explanatory tool? [Bourne]
2. Reason / D. Definition / 8. Impredicative Definition
10041 Impredicative Definitions refer to the totality to which the object itself belongs [Gödel]
3. Truth / H. Deflationary Truth / 1. Redundant Truth
14008 The redundancy theory conflates metalinguistic bivalence with object-language excluded middle [Bourne]
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 / A. Relations / 1. Nature of Relations
14010 All relations between spatio-temporal objects are either spatio-temporal, or causal [Bourne]
14009 It is a necessary condition for the existence of relations that both of the relata exist [Bourne]
27. Natural Reality / A. Classical Physics / 1. Mechanics / b. Laws of motion
19673 Galileo mathematised movement, and revealed its invariable component - acceleration [Galileo, by Meillassoux]
27. Natural Reality / B. Modern Physics / 1. Relativity / a. Special relativity
14016 The idea of simultaneity in Special Relativity is full of verificationist assumptions [Bourne]
14019 Relativity denies simultaneity, so it needs past, present and future (unlike Presentism) [Bourne]
27. Natural Reality / D. Time / 1. Nature of Time / a. Absolute time
14013 Special Relativity allows an absolute past, future, elsewhere and simultaneity [Bourne]
27. Natural Reality / D. Time / 1. Nature of Time / g. Growing block
14015 No-Futurists believe in past and present, but not future, and say the world grows as facts increase [Bourne]
27. Natural Reality / D. Time / 1. Nature of Time / h. Presentism
14007 How can presentists talk of 'earlier than', and distinguish past from future? [Bourne]
14011 Presentism seems to deny causation, because the cause and the effect can never coexist [Bourne]
14017 Since presentists treat the presentness of events as basic, simultaneity should be define by that means [Bourne]
27. Natural Reality / D. Time / 2. Passage of Time / d. Time series
14003 Time is tensed or tenseless; the latter says all times and objects are real, and there is no passage of time [Bourne]
14005 B-series objects relate to each other; A-series objects relate to the present [Bourne]
27. Natural Reality / D. Time / 2. Passage of Time / e. Tensed (A) series
14006 Time flows, past is fixed, future is open, future is feared but not past, we remember past, we plan future [Bourne]