Combining Texts

All the ideas for 'On the Principles of Indiscernibles', 'Logicism, Some Considerations (PhD)' and 'Psychophysical and theoretical identifications'

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8 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
13412 Obtaining numbers by abstraction is impossible - there are too many; only a rule could give them, in order [Benacerraf]
13413 We must explain how we know so many numbers, and recognise ones we haven't met before [Benacerraf]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
13411 If numbers are basically the cardinals (Frege-Russell view) you could know some numbers in isolation [Benacerraf]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
13415 An adequate account of a number must relate it to its series [Benacerraf]
26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory
9409 Laws are the best axiomatization of the total history of world events or facts [Lewis, by Mumford]
9423 If simplicity and strength are criteria for laws of nature, that introduces a subjective element [Mumford on Lewis]
9424 A number of systematizations might tie as the best and most coherent system [Mumford on Lewis]
28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof
2116 The concept of an existing thing must contain more than the concept of a non-existing thing [Leibniz]