Combining Texts

All the ideas for 'Lectures on the History of Philosophy', 'Philosophical Insignificance of A Priori Knowledge' and 'Concepts and Counting'

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8 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Philosophy is the conceptual essence of the shape of history [Hegel]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
All worthwhile philosophy is synthetic theorizing, evaluated by experience [Papineau]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
A single object must not be counted twice, which needs knowledge of distinctness (negative identity) [Rumfitt]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Some 'how many?' answers are not predications of a concept, like 'how many gallons?' [Rumfitt]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
Our best theories may commit us to mathematical abstracta, but that doesn't justify the commitment [Papineau]
12. Knowledge Sources / A. A Priori Knowledge / 9. A Priori from Concepts
A priori knowledge is analytic - the structure of our concepts - and hence unimportant [Papineau]
12. Knowledge Sources / E. Direct Knowledge / 2. Intuition
Intuition and thought-experiments embody substantial information about the world [Papineau]
19. Language / A. Nature of Meaning / 5. Meaning as Verification
Verificationism about concepts means you can't deny a theory, because you can't have the concept [Papineau]