Combining Texts

All the ideas for 'Stipulation, Meaning and Apriority', 'Individuation' and 'Mathematics and Philosophy: grand and little'

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17 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
9808 Philosophy aims to reveal the grandeur of mathematics [Badiou]
2. Reason / D. Definition / 13. Against Definition
9331 How do we determine which of the sentences containing a term comprise its definition? [Horwich]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
9812 In mathematics, if a problem can be formulated, it will eventually be solved [Badiou]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
9813 Mathematics shows that thinking is not confined to the finite [Badiou]
7. Existence / A. Nature of Existence / 3. Being / a. Nature of Being
9809 Mathematics inscribes being as such [Badiou]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
9811 It is of the essence of being to appear [Badiou]
8. Modes of Existence / E. Nominalism / 3. Predicate Nominalism
8967 Not all predicates can be properties - 'is non-self-exemplifying', for example [Lowe]
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
8965 Neither mere matter nor pure form can individuate a sphere, so it must be a combination [Lowe]
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]
14. Science / D. Explanation / 1. Explanation / c. Direction of explanation
8968 If the flagpole causally explains the shadow, the shadow cannot explain the flagpole [Lowe]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
8966 Properties are facets of objects, only discussable separately by an act of abstraction [Lowe]
21. Aesthetics / B. Nature of Art / 8. The Arts / b. Literature
9814 All great poetry is engaged in rivalry with mathematics [Badiou]