Concept Formation and Scientific Objectivity: Weyl’s Turn against Husserl

Toader, Iulian D.

doi:10.1086/670650

HOPOS: The Journal of the International Society for the History

2013

DOI: 10.1086/670650

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Concept Formation and Scientific Objectivity: Weyl’s Turn against Husserl

Iulian D. Toader¹

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Cited by 5 publications

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“…For a discussion of what Weyl took to be the cognitive significance of what he called non-elementary mathematics, when this is taken as a part of a theoretical whole that also includes modern physics, seeToader 2013 and …”

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Why Did Weyl Think That Emmy Noether Made Algebra the Eldorado of Axiomatics?

Toader

2021

HOPOS: The Journal of the International Society for the History

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The paper attempts to clarify Weyl's metaphorical description of Emmy Noether's algebra as the Eldorado of axiomatics. It discusses Weyl's early view on axiomatics, which is part of his criticism of Dedekind and Hilbert, as motivated by Weyl's acquiescence to a phenomenological epistemology of correctness, then it describes Noether's work in algebra, emphasizing in particular its ancestral relation to Dedekind's and Hilbert's works, as well as her mathematical methods, characterized by non-elementary reasoning, i.e., reasoning detached from mathematical objects. The paper turns then to Weyl's remarks on Noether's work, and argues against assimilating her use of the axiomatic method in algebra to his late view on axiomatics, on the ground of the latter's resistance to Noether's principle of detachment.

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Why Did Weyl Think That Emmy Noether Made Algebra the Eldorado of Axiomatics?

Toader

2021

HOPOS: The Journal of the International Society for the History

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“…"(Weyl 1946, p. 604) For an interpretation of this passage, seeToader (2013).8 For recent endorsements and elaborations of this idea, see e.g Nozick (2001),Debs and Redhead (2007)…”

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Objectivity and understanding: a new reading of Carnap’s Aufbau

Toader

2015

Synthese

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The paper proposes a new reading of the Aufbau, one that contends that Carnap's epistemological project is not, or not only, to identify the conditions under which a system of purely structural definite descriptions can attain objectivity. Rather, the project is more ambitious: to determine the conditions that allow the concomitant attainment of objectivity and understanding. As such, it can, and perhaps should, be regarded as an attempt to refute a view elsewhere called Weylean skepticism, i.e. the view that objectivity and understanding are opposite epistemic ideals of science.

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“Above the Slough of Despond”: Weylean invariantism and quantum physics

Toader

2018

Studies in History and Philosophy of Science Part B: Studies in

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Concept Formation and Scientific Objectivity: Weyl’s Turn against Husserl

Cited by 5 publications

References 13 publications

Why Did Weyl Think That Emmy Noether Made Algebra the Eldorado of Axiomatics?

Why Did Weyl Think That Emmy Noether Made Algebra the Eldorado of Axiomatics?

Objectivity and understanding: a new reading of Carnap’s Aufbau

“Above the Slough of Despond”: Weylean invariantism and quantum physics

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