Combining Texts

All the ideas for 'The Roots of Reference', 'The Relation of Sense-Data to Physics' and 'The Philosophy of Mathematics'

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26 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
9193 ZF set theory has variables which range over sets, 'equals' and 'member', and extensionality [Dummett]
9194 The main alternative to ZF is one which includes looser classes as well as sets [Dummett]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
9195 Intuitionists reject excluded middle, not for a third value, but for possibility of proof [Dummett]
5. Theory of Logic / G. Quantification / 5. Second-Order Quantification
9186 First-order logic concerns objects; second-order adds properties, kinds, relations and functions [Dummett]
5. Theory of Logic / I. Semantics of Logic / 3. Logical Truth
9187 Logical truths and inference are characterized either syntactically or semantically [Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
9191 Ordinals seem more basic than cardinals, since we count objects in sequence [Dummett]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
9192 The number 4 has different positions in the naturals and the wholes, with the same structure [Dummett]
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]
8. Modes of Existence / C. Powers and Dispositions / 3. Powers as Derived
14296 Dispositions are physical states of mechanism; when known, these replace the old disposition term [Quine]
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]
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]