Combining Texts

All the ideas for 'Grundgesetze der Arithmetik 1 (Basic Laws)', 'The Analytic/Synthetic Distinction' and 'Questions on Aristotle's Posterior Analytics'

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19 ideas

5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
13733 Frege considered definite descriptions to be genuine singular terms [Frege, by Fitting/Mendelsohn]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
9874 Contradiction arises from Frege's substitutional account of second-order quantification [Dummett on Frege]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
18252 Real numbers are ratios of quantities, such as lengths or masses [Frege]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
18271 We can't prove everything, but we can spell out the unproved, so that foundations are clear [Frege]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
10623 Frege defined number in terms of extensions of concepts, but needed Basic Law V to explain extensions [Frege, by Hale/Wright]
9975 Frege ignored Cantor's warning that a cardinal set is not just a concept-extension [Tait on Frege]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
18165 My Basic Law V is a law of pure logic [Frege]
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
20298 The traditional a priori is justified without experience; post-Quine it became unrevisable by experience [Rey]
12. Knowledge Sources / B. Perception / 2. Qualities in Perception / b. Primary/secondary
16726 Why can't we deduce secondary qualities from primary ones, if they cause them? [Buridan]
18. Thought / D. Concepts / 3. Ontology of Concepts / c. Fregean concepts
9190 A concept is a function mapping objects onto truth-values, if they fall under the concept [Frege, by Dummett]
13665 Frege took the study of concepts to be part of logic [Frege, by Shapiro]
19. Language / A. Nature of Meaning / 8. Synonymy
20300 Externalist synonymy is there being a correct link to the same external phenomena [Rey]
19. Language / E. Analyticity / 1. Analytic Propositions
20294 'Married' does not 'contain' its symmetry, nor 'bigger than' its transitivity [Rey]
20293 Analytic judgements can't be explained by contradiction, since that is what is assumed [Rey]
20297 Analytic statements are undeniable (because of meaning), rather than unrevisable [Rey]
20301 The meaning properties of a term are those which explain how the term is typically used [Rey]
20302 An intrinsic language faculty may fix what is meaningful (as well as grammatical) [Rey]
20303 Research throws doubts on the claimed intuitions which support analyticity [Rey]
19. Language / E. Analyticity / 4. Analytic/Synthetic Critique
20299 If we claim direct insight to what is analytic, how do we know it is not sub-consciously empirical? [Rey]