Combining Texts

All the ideas for 'Letters to Bentley', 'The Question of Ontology' and 'Lewis on Perdurance versus Endurance'

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16 ideas

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]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
The existence of numbers is not a matter of identities, but of constituents of the world [Fine,K]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
It is plausible that x^2 = -1 had no solutions before complex numbers were 'introduced' [Fine,K]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
The indispensability argument shows that nature is non-numerical, not the denial of numbers [Fine,K]
7. Existence / A. Nature of Existence / 1. Nature of Existence
'Exists' is a predicate, not a quantifier; 'electrons exist' is like 'electrons spin' [Fine,K]
7. Existence / A. Nature of Existence / 4. Abstract Existence
Just as we introduced complex numbers, so we introduced sums and temporal parts [Fine,K]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
Real objects are those which figure in the facts that constitute reality [Fine,K]
Being real and being fundamental are separate; Thales's water might be real and divisible [Fine,K]
7. Existence / B. Change in Existence / 1. Nature of Change
Maybe particles are unchanging, and intrinsic change in things is their rearrangement [Lowe, by Lewis]
7. Existence / D. Theories of Reality / 1. Ontologies
For ontology we need, not internal or external views, but a view from outside reality [Fine,K]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / b. Commitment of quantifiers
Ontological claims are often universal, and not a matter of existential quantification [Fine,K]
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]