Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'On the General Idea of Proof Theory' and 'On the Pragmatics of Communications'

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4 ideas

5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
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
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
Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
19. Language / A. Nature of Meaning / 6. Meaning as Use
To understand language is to know how to use it to reach shared understandings [Habermas]