Combining Texts

All the ideas for 'Stipulation, Meaning and Apriority', 'Guidebook to Wittgenstein's Tractatus' and 'Knowledge and the Philosophy of Number'

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22 ideas

1. Philosophy / H. Continental Philosophy / 3. Hermeneutics
23449 Interpreting a text is representing it as making sense [Morris,M]
2. Reason / D. Definition / 13. Against Definition
9331 How do we determine which of the sentences containing a term comprise its definition? [Horwich]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
23623 Predicativism says only predicated sets exist [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
23624 The iterative conception has to appropriate Replacement, to justify the ordinals [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
23625 Limitation of Size justifies Replacement, but then has to appropriate Power Set [Hossack]
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
23484 Bipolarity adds to Bivalence the capacity for both truth values [Morris,M]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / d. and
23628 The connective 'and' can have an order-sensitive meaning, as 'and then' [Hossack]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
23627 'Before' and 'after' are not two relations, but one relation with two orders [Hossack]
5. Theory of Logic / G. Quantification / 1. Quantification
23494 Conjunctive and disjunctive quantifiers are too specific, and are confined to the finite [Morris,M]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
23451 Counting needs to distinguish things, and also needs the concept of a successor in a series [Morris,M]
23460 To count, we must distinguish things, and have a series with successors in it [Morris,M]
23452 Discriminating things for counting implies concepts of identity and distinctness [Morris,M]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / h. Ordinal infinity
23626 Transfinite ordinals are needed in proof theory, and for recursive functions and computability [Hossack]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
23621 Numbers are properties, not sets (because numbers are magnitudes) [Hossack]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
23622 We can only mentally construct potential infinities, but maths needs actual infinities [Hossack]
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
9333 A priori belief is not necessarily a priori justification, or a priori knowledge [Horwich]
12. Knowledge Sources / A. A Priori Knowledge / 6. A Priori from Reason
9342 Understanding needs a priori commitment [Horwich]
12. Knowledge Sources / A. A Priori Knowledge / 8. A Priori as Analytic
9332 Meaning is generated by a priori commitment to truth, not the other way around [Horwich]
12. Knowledge Sources / A. A Priori Knowledge / 9. A Priori from Concepts
9341 Meanings and concepts cannot give a priori knowledge, because they may be unacceptable [Horwich]
9334 If we stipulate the meaning of 'number' to make Hume's Principle true, we first need Hume's Principle [Horwich]
12. Knowledge Sources / A. A Priori Knowledge / 10. A Priori as Subjective
9339 A priori knowledge (e.g. classical logic) may derive from the innate structure of our minds [Horwich]
19. Language / D. Propositions / 1. Propositions
23491 There must exist a general form of propositions, which are predictabe. It is: such and such is the case [Morris,M]