Combining Texts

All the ideas for 'fragments/reports', 'Philosophy of Language' and 'On the Introduction of Transfinite Numbers'

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16 ideas

4. Formal Logic / D. Modal Logic ML / 1. Modal Logic
The interest of quantified modal logic is its metaphysical necessity and essentialism [Soames]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / a. Descriptions
Indefinite descriptions are quantificational in subject position, but not in predicate position [Soames]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / c. Theory of definite descriptions
Recognising the definite description 'the man' as a quantifier phrase, not a singular term, is a real insight [Soames]
5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification
The universal and existential quantifiers were chosen to suit mathematics [Soames]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Von Neumann treated cardinals as a special sort of ordinal [Neumann, by Hart,WD]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
A von Neumann ordinal is a transitive set with transitive elements [Neumann, by Badiou]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / g. Von Neumann numbers
For Von Neumann the successor of n is n U {n} (rather than {n}) [Neumann, by Maddy]
Von Neumann numbers are preferred, because they continue into the transfinite [Maddy on Neumann]
Each Von Neumann ordinal number is the set of its predecessors [Neumann, by Lavine]
10. Modality / A. Necessity / 5. Metaphysical Necessity
We understand metaphysical necessity intuitively, from ordinary life [Soames]
There are more metaphysically than logically necessary truths [Soames]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
To study meaning, study truth conditions, on the basis of syntax, and representation by the parts [Soames]
Tarski's account of truth-conditions is too weak to determine meanings [Soames]
19. Language / D. Propositions / 4. Mental Propositions
We should use cognitive states to explain representational propositions, not vice versa [Soames]
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]