Combining Texts

All the ideas for 'Through the Looking Glass', 'Mathematics without Foundations' and 'Meinong on Complexes and Assumptions'

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20 ideas

3. Truth / B. Truthmakers / 6. Making Negative Truths
21544 It seems that when a proposition is false, something must fail to subsist [Russell]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / d. Infinite Sets
9944 We understand some statements about all sets [Putnam]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
21539 Excluded middle can be stated psychologically, as denial of p implies assertion of not-p [Russell]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
9937 I do not believe mathematics either has or needs 'foundations' [Putnam]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
9939 It is conceivable that the axioms of arithmetic or propositional logic might be changed [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
9940 Maybe mathematics is empirical in that we could try to change it [Putnam]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
9941 Science requires more than consistency of mathematics [Putnam]
7. Existence / A. Nature of Existence / 3. Being / e. Being and nothing
21982 I only wish I had such eyes as to see Nobody! It's as much as I can do to see real people. [Carroll,L]
7. Existence / D. Theories of Reality / 2. Realism
21538 If two people perceive the same object, the object of perception can't be in the mind [Russell]
7. Existence / D. Theories of Reality / 4. Anti-realism
9943 You can't deny a hypothesis a truth-value simply because we may never know it! [Putnam]
8. Modes of Existence / A. Relations / 1. Nature of Relations
21534 The only thing we can say about relations is that they relate [Russell]
21540 Relational propositions seem to be 'about' their terms, rather than about the relation [Russell]
9. Objects / A. Existence of Objects / 3. Objects in Thought
21536 When I perceive a melody, I do not perceive the notes as existing [Russell]
9. Objects / A. Existence of Objects / 5. Individuation / c. Individuation by location
21535 Objects only exist if they 'occupy' space and time [Russell]
10. Modality / B. Possibility / 5. Contingency
21533 Contingency arises from tensed verbs changing the propositions to which they refer [Russell]
11. Knowledge Aims / C. Knowing Reality / 1. Perceptual Realism / b. Direct realism
21537 I assume we perceive the actual objects, and not their 'presentations' [Russell]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
21532 Full empiricism is not tenable, but empirical investigation is always essential [Russell]
18. Thought / A. Modes of Thought / 6. Judgement / b. Error
21542 Do incorrect judgements have non-existent, or mental, or external objects? [Russell]
18. Thought / C. Content / 1. Content
21541 The complexity of the content correlates with the complexity of the object [Russell]
19. Language / D. Propositions / 1. Propositions
21543 If p is false, then believing not-p is knowing a truth, so negative propositions must exist [Russell]