Combining Texts

All the ideas for 'Understanding and Essence', 'New Proof of Possibility of Well-Ordering' and 'Grundgesetze der Arithmetik 1 (Basic Laws)'

expand these ideas     |    start again     |     specify just one area for these texts

18 ideas

1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
19259 If 2-D conceivability can a priori show possibilities, this is a defence of conceptual analysis [Vaidya]
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]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / c. Essentials are necessary
19262 Essential properties are necessary, but necessary properties may not be essential [Vaidya]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
19267 Define conceivable; how reliable is it; does inconceivability help; and what type of possibility results? [Vaidya]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / c. Possible but inconceivable
19268 Inconceivability (implying impossibility) may be failure to conceive, or incoherence [Vaidya]
11. Knowledge Aims / A. Knowledge / 2. Understanding
19265 Can you possess objective understanding without realising it? [Vaidya]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / b. Gettier problem
19260 Gettier deductive justifications split the justification from the truthmaker [Vaidya]
19266 In a disjunctive case, the justification comes from one side, and the truth from the other [Vaidya]
18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement
17613 We should judge principles by the science, not science by some fixed principles [Zermelo]
18. Thought / C. Content / 1. Content
19264 Aboutness is always intended, and cannot be accidental [Vaidya]
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]