Combining Texts

All the ideas for 'Stipulation, Meaning and Apriority', 'On Platonism in Mathematics' and 'Wittgenstein on Rules and Private Language'

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16 ideas

2. Reason / D. Definition / 13. Against Definition
How do we determine which of the sentences containing a term comprise its definition? [Horwich]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
Very few things in set theory remain valid in intuitionist mathematics [Bernays]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Restricted Platonism is just an ideal projection of a domain of thought [Bernays]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Mathematical abstraction just goes in a different direction from logic [Bernays]
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
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
Understanding needs a priori commitment [Horwich]
12. Knowledge Sources / A. A Priori Knowledge / 8. A Priori as Analytic
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
Meanings and concepts cannot give a priori knowledge, because they may be unacceptable [Horwich]
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
A priori knowledge (e.g. classical logic) may derive from the innate structure of our minds [Horwich]
18. Thought / A. Modes of Thought / 10. Rule Following
No rule can be fully explained [Kripke]
'Quus' means the same as 'plus' if the ingredients are less than 57; otherwise it just produces 5 [Kripke]
19. Language / A. Nature of Meaning / 10. Denial of Meanings
Kripke's Wittgenstein says meaning 'vanishes into thin air' [Kripke, by Miller,A]
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
Community implies assertability-conditions rather than truth-conditions semantics [Kripke, by Hanna]
19. Language / F. Communication / 4. Private Language
The sceptical rule-following paradox is the basis of the private language argument [Kripke, by Hanna]