Combining Texts

All the ideas for 'Defending the Axioms', 'On the Very Idea of a Third Dogma' and 'A Future for Presentism'

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22 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]
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 / j. Axiom of Choice IX
17610 The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
17620 Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
17605 Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
17625 If two mathematical themes coincide, that suggest a single deep truth [Maddy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
17615 Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
17618 Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
17614 The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
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]
19. Language / F. Communication / 6. Interpreting Language / a. Translation
19045 Translation is too flimsy a notion to support theories of cultural incommensurability [Quine]
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]