Tautology: How not to Use a Word

Dreben, Burton; Floyd, Juliet

doi:10.1007/978-94-011-3552-8_2

Cited by 8 publications

(11 citation statements)

References 11 publications

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“…Philosophers have reacted to these problems by characterizing analytic statements as pseudo-propositions, by denying that they have truth-values, and by stressing their emptiness and triviality. Only after 1920 did it become orthodox to count analytic statements as genuine propositions (Dreben and Floyd, 1991).…”

Section: A Contingent Analytic Response To Dorothy Edgingtonmentioning

confidence: 99%

A Reply to Critics

Sorensen

2005

Philos Phenomenol Res

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Section: A Contingent Analytic Response To Dorothy Edgingtonmentioning

confidence: 99%

A Reply to Critics

Sorensen

2005

Philos Phenomenol Res

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“…But there is more to their difference than this. Already in the 1920s, various authors-like Russell, Ramsey and C. I. Lewis-used Wittgenstein's term for their own purposes and attached their own senses (Dreben and Floyd 1991). Directly relevant to our concerns, attention has been drawn to the differences in the way in which Wittgenstein and Hahn (and Schlick) talked of tautologies (Goldfarb 1996 To be sure, Hahn did take it as an argument for the idea that logic is tautologous that it 'made a consistent empiricism possible', and he also accepted as a criterion for non-logical statements that they are 'in principle accessible to verification by experience ' (1930a [1980, pp.…”

Section: Reconceiving Tautologiesmentioning

confidence: 99%

Learning Logical Tolerance: Hans Hahn on the Foundations of Mathematics

Uebel¹

2005

History and Philosophy of Logic

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Hans Hahn's long-neglected philosophy of mathematics is reconstructed here with an eye to his anticipation of the doctrine of logical pluralism. After establishing that Hahn pioneered a post-Tractarian conception of tautologies and attempted to overcome the traditional foundational dispute in mathematics, Hahn's and Carnap's work is briefly compared with Karl Menger's, and several significant agreements or differences between Hahn's and Carnap's work are specified and discussed.

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“…Ironically, perhaps, Wittgenstein had first framed this decision problem in terms of the notion of a ‘tautology’ in a letter to Russell, in 1913 (Dreben and Floyd, ). This is one reason to suspect that Turing's work resolving it would have been of vivid interest to him.…”

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confidence: 99%

Teaching and Learning with Wittgenstein and Turing: Sailing the Seas of Social Media

Floyd¹

2019

Journal of Philosophy of Education

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Results of the Boston University Mellon Sawyer seminar 2016–2019 (http://www.mellophilemerge.com) reveal that social and philosophical drives are increasingly central to our uses of technology, including AI. This raises critical challenges for democracy, especially in a hyper‐connected world where social media shapes human conduct in ways we are only beginning to appreciate. A history of the mutual impact of Turing and Wittgenstein on one another points to the contemporary foundational significance of our artful capacity to embed everyday words in forms of life. Wittgenstein's mature focus on forms of life, interlocutory drift, and rule‐following, with its play between the ‘I’ and the ‘we’, was an informed critical response to Turing's idea of a ‘Turing machine’, his analysis of the very idea of taking a ‘step’ in a formal system. Wittgenstein's characterisations of our drive to evade a responsibility in speech, especially by appealing to ‘machines’ or ‘algorithms’ as pure mathematical objects, are invaluable warnings for us. The enduring importance of mutually‐attuned ‘phraseology’ to education may be formulated as a humanistic challenge to the very ideas of ‘computational foundations’ and ‘Big Data’ in our hyper‐connected world.

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Tautology: How not to Use a Word

Cited by 8 publications

References 11 publications

A Reply to Critics

A Reply to Critics

Learning Logical Tolerance: Hans Hahn on the Foundations of Mathematics

Teaching and Learning with Wittgenstein and Turing: Sailing the Seas of Social Media

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