Combining Texts

All the ideas for 'Wittgenstein on Rules and Private Language', 'Sets, Aggregates and Numbers' and 'The Logical Syntax of Language'

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13 ideas

5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
13342 Carnap defined consequence by contradiction, but this is unintuitive and changes with substitution [Tarski on Carnap]
5. Theory of Logic / C. Ontology of Logic / 4. Logic by Convention
13251 Each person is free to build their own logic, just by specifying a syntax [Carnap]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
17818 How many? must first partition an aggregate into sets, and then logic fixes its number [Yourgrau]
17822 Nothing is 'intrinsically' numbered [Yourgrau]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
17817 Defining 'three' as the principle of collection or property of threes explains set theory definitions [Yourgrau]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
17815 We can't use sets as foundations for mathematics if we must await results from the upper reaches [Yourgrau]
17821 You can ask all sorts of numerical questions about any one given set [Yourgrau]
18. Thought / A. Modes of Thought / 10. Rule Following
19269 'Quus' means the same as 'plus' if the ingredients are less than 57; otherwise it just produces 5 [Kripke]
19271 No rule can be fully explained [Kripke]
19. Language / A. Nature of Meaning / 10. Denial of Meanings
7305 Kripke's Wittgenstein says meaning 'vanishes into thin air' [Kripke, by Miller,A]
19270 If you ask what is in your mind for following the addition rule, meaning just seems to vanish [Kripke]
19. Language / C. Assigning Meanings / 6. Truth-Conditions Semantics
11076 Community implies assertability-conditions rather than truth-conditions semantics [Kripke, by Hanna]
19. Language / F. Communication / 4. Private Language
11075 The sceptical rule-following paradox is the basis of the private language argument [Kripke, by Hanna]