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Ideas for 'works', 'Paper of December 1676' and 'On the General Idea of Proof Theory'

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3 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]
	Full Idea: Defining logical consequence in the way Tarski does is a rather meagre result, treating an argument as a black box, observing input and output, while disregarding inner structure. We should define logical consequence on the basis of valid arguments.
	From: Dag Prawitz (On the General Idea of Proof Theory [1974], §2)

5. Theory of Logic / E. Structures of Logic / 1. Logical Form

4730	For Aristotle, the subject-predicate structure of Greek reflected a substance-accident structure of reality [Aristotle, by O'Grady]
	Full Idea: Aristotle apparently believed that the subject-predicate structure of Greek reflected the substance-accident nature of reality.
	From: report of Aristotle (works [c.330 BCE]) by Paul O'Grady - Relativism Ch.4
	A reaction: We need not assume that Aristotle is wrong. It is a chicken-and-egg. There is something obvious about subject-predicate language, if one assumes that unified objects are part of nature, and not just conventional.

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]
	Full Idea: In model theory, which has dominated the last decades, one concentrates on logically valid sentences, and what follows logically from what, but one disregards questions concerning how we know these things.
	From: Dag Prawitz (On the General Idea of Proof Theory [1974], §1)