Combining Texts

All the ideas for 'Mathematics and Indispensibility', 'Mr Strawson on Referring' and 'Letters to Bentley'

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10 ideas

1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Common speech is vague; its vocabulary and syntax must be modified, for precision [Russell]
2. Reason / D. Definition / 11. Ostensive Definition
Empirical words need ostensive definition, which makes them egocentric [Russell]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
We can talk of 'innumerable number', about the infinite points on a line [Newton]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Not all infinites are equal [Newton]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
All scientific tests will verify mathematics, so it is a background, not something being tested [Sober]
19. Language / C. Assigning Meanings / 9. Indexical Semantics
Science reduces indexicals to a minimum, but they can never be eliminated from empirical matters [Russell]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
The principles of my treatise are designed to fit with a belief in God [Newton]
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
I do not pretend to know the cause of gravity [Newton]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / e. Anti scientific essentialism
The motions of the planets could only derive from an intelligent agent [Newton]
That gravity should be innate and essential to matter is absurd [Newton]