Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'On the General Idea of Proof Theory' and 'Psychophysical and theoretical identifications'

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6 ideas

5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
13827 Logical consequence isn't a black box (Tarski's approach); we should explain how arguments work [Prawitz]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
13826 Model theory looks at valid sentences and consequence, but not how we know these things [Prawitz]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
17447 Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
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]