Combining Texts

All the ideas for 'Review of Frege's 'Grundlagen'', 'Meinong on Complexes and Assumptions' and 'Frege versus Cantor and Dedekind'

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22 ideas

1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
9978 Analytic philosophy focuses too much on forms of expression, instead of what is actually said [Tait]
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 / b. Empty (Null) Set
9986 The null set was doubted, because numbering seemed to require 'units' [Tait]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
9984 We can have a series with identical members [Tait]
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 / 5. Definitions of Number / c. Fregean numbers
9992 The 'extension of a concept' in general may be quantitatively completely indeterminate [Cantor]
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]
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]
18. Thought / E. Abstraction / 2. Abstracta by Selection
9981 Abstraction is 'logical' if the sense and truth of the abstraction depend on the concrete [Tait]
9982 Cantor and Dedekind use abstraction to fix grammar and objects, not to carry out proofs [Tait]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
9985 Abstraction may concern the individuation of the set itself, not its elements [Tait]
18. Thought / E. Abstraction / 8. Abstractionism Critique
9972 Why should abstraction from two equipollent sets lead to the same set of 'pure units'? [Tait]
9980 If abstraction produces power sets, their identity should imply identity of the originals [Tait]
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]