Combining Texts

All the ideas for 'Stipulation, Meaning and Apriority', 'Probability and Logic of Rational Belief' and 'What Numbers Are'

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10 ideas

2. Reason / D. Definition / 13. Against Definition

9331	How do we determine which of the sentences containing a term comprise its definition? [Horwich]

5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems

17813

Löwenheim-Skolem says any theory with a true interpretation has a model in the natural numbers [White,NP]

5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / e. The Lottery paradox

6368	If my ticket won't win the lottery (and it won't), no other tickets will either [Kyburg, by Pollock/Cruz]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

17812

Finite cardinalities don't need numbers as objects; numerical quantifiers will do [White,NP]

12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori

9333	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

9342	Understanding needs a priori commitment [Horwich]

12. Knowledge Sources / A. A Priori Knowledge / 8. A Priori as Analytic

9332	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

9341	Meanings and concepts cannot give a priori knowledge, because they may be unacceptable [Horwich]

9334	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

9339	A priori knowledge (e.g. classical logic) may derive from the innate structure of our minds [Horwich]