Wittgenstein on 2, 2, 2 ...: The opening of Remarks on the Foundations of Mathematics

Floyd, Juliet

doi:10.1007/bf00485332

Cited by 81 publications

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“…I believe it was not, though the situation must be rationally reconstructed, as Wittgenstein was hazy around the margins. Some arguments were given in Dreben andFloyd 1991 andFloyd 2001a, but more precise reconstructions were offered in Sundholm 1992 and Rogers and Wehmeier 2012. Weiss 2013 and forthcoming, so far as I am concerned, satisfactorily analyze the logic in the Tractatus as a predicative fragment of second order logic, pinning down the (very high) complexity of the definability of logical consequence given Wittgenstein's basic framework.…”

Section: Turing's "On Computable Numbers With An Application To the E...mentioning

confidence: 99%

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Chains of Life: Turing, Lebensform, and the Emergence of Wittgenstein’s Later Style

Floyd

2016

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This essay accounts for the notion of Lebensform by assigning it a logical role in Wittgenstein’s later philosophy. Wittgenstein’s additions of the notion to his manuscripts of the PI occurred during the initial drafting of the book 1936-7, after he abandoned his effort to revise The Brown Book. It is argued that this constituted a substantive step forward in his attitude toward the notion of simplicity as it figures within the notion of logical analysis. Next, a reconstruction of his later remarks on Lebensformen is offered which factors in his reading of Alan Turing’s “On computable numbers, with an application to the Entscheidungsproblem“ (1936/7), as well as his discussions with Turing 1937-1939. An interpretation of the five occurrences of Lebensform in the PI is then given in terms of a logical “regression” to Lebensform as a fundamental notion. This regression characterizes Wittgenstein’s mature answer to the question, “What is the nature of the logical?”

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Section: Turing's "On Computable Numbers With An Application To the E...mentioning

confidence: 99%

“…This conviction shaped earlier work of mine; for the thread concerned with philosophy of logic in my own work cf. Dreben and Floyd 1991, Floyd 1991, 2001b, forthcoming a, b. 59 Hunter 1968 forms a good starting point here, in distinguishing the narrower, wider, and "organic" picture of Lebensformen.…”

Section: The Idea Of a "Chain" Of Reasoningmentioning

confidence: 99%