Combining Texts

All the ideas for 'Defending the Axioms', 'works' and 'The Relation of Sense-Data to Physics'

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26 ideas

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]
7. Existence / C. Structure of Existence / 8. Stuff / a. Pure stuff
6472 Continuity is a sufficient criterion for the identity of a rock, but not for part of a smooth fluid [Russell]
9. Objects / A. Existence of Objects / 1. Physical Objects
6473 Physical things are series of appearances whose matter obeys physical laws [Russell]
9. Objects / B. Unity of Objects / 2. Substance / e. Substance critique
6465 We need not deny substance, but there seems no reason to assert it [Russell]
6471 The assumption by physicists of permanent substance is not metaphysically legitimate [Russell]
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
6466 Where possible, logical constructions are to be substituted for inferred entities [Russell]
12. Knowledge Sources / B. Perception / 4. Sense Data / b. Nature of sense-data
6483 Russell held that we are aware of states of our own brain [Russell, by Robinson,H]
8244 Sense-data are qualities devoid of subjectivity, which are the basis of science [Russell, by Deleuze/Guattari]
6462 Sense-data are not mental, but are part of the subject-matter of physics [Russell]
6463 Sense-data are objects, and do not contain the subject as part, the way beliefs do [Russell]
6464 Sense-data are usually objects within the body, but are not part of the subject [Russell]
6467 No sensibile is ever a datum to two people at once [Russell]
12. Knowledge Sources / B. Perception / 4. Sense Data / c. Unperceived sense-data
6459 We do not know whether sense-data exist as objects when they are not data [Russell]
6460 'Sensibilia' are identical to sense-data, without actually being data for any mind [Russell]
6461 Ungiven sense-data can no more exist than unmarried husbands [Russell]
12. Knowledge Sources / B. Perception / 4. Sense Data / d. Sense-data problems
6458 Individuating sense-data is difficult, because they divide when closely attended to [Russell]
6469 Sense-data may be subjective, if closing our eyes can change them [Russell]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
4366 We can't accept Aristotle's naturalism about persons, because it is normative and unscientific [Williams,B, by Hursthouse]
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
6470 Matter is the limit of appearances as distance from the object diminishes [Russell]
27. Natural Reality / C. Space / 2. Space
6468 There is 'private space', and there is also the 'space of perspectives' [Russell]