Combining Texts

All the ideas for 'Letters to Bentley', 'Sets and Numbers' and 'The Individuation of Events'

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19 ideas

4. Formal Logic / F. Set Theory ST / 7. Natural Sets
The master science is physical objects divided into sets [Maddy]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
Davidson controversially proposed to quantify over events [Davidson, by Engelbretsen]
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 / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set theory (unlike the Peano postulates) can explain why multiplication is commutative [Maddy]
Standardly, numbers are said to be sets, which is neat ontology and epistemology [Maddy]
Numbers are properties of sets, just as lengths are properties of physical objects [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
Sets exist where their elements are, but numbers are more like universals [Maddy]
Number theory doesn't 'reduce' to set theory, because sets have number properties [Maddy]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
If mathematical objects exist, how can we know them, and which objects are they? [Maddy]
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
Number words are unusual as adjectives; we don't say 'is five', and numbers always come first [Maddy]
7. Existence / B. Change in Existence / 4. Events / b. Events as primitive
You can't identify events by causes and effects, as the event needs to be known first [Dummett on Davidson]
Events can only be individuated causally [Davidson, by Schaffer,J]
We need events for action statements, causal statements, explanation, mind-and-body, and adverbs [Davidson, by Bourne]
7. Existence / B. Change in Existence / 4. Events / c. Reduction of events
The claim that events are individuated by their causal relations to other events is circular [Lowe on Davidson]
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]