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

Hopos: The Journal of the International Society for the History of Philosophy of Science 3 (2):281-305 (2013)

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  1. Intuitionism in the Philosophy of Mathematics: Introducing a Phenomenological Account.Philipp Berghofer -2020 -Philosophia Mathematica 28 (2):204-235.
    The aim of this paper is to establish a phenomenological mathematical intuitionism that is based on fundamental phenomenological-epistemological principles. According to this intuitionism, mathematical intuitions are sui generis mental states, namely experiences that exhibit a distinctive phenomenal character. The focus is on two questions: what does it mean to undergo a mathematical intuition and what role do mathematical intuitions play in mathematical reasoning? While I crucially draw on Husserlian principles and adopt ideas we find in phenomenologically minded mathematicians such as (...) Hermann Weyl and Kurt Gödel, the overall objective is systematic in nature: to offer a plausible approach towards mathematics. (shrink)
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  • Objectivity and understanding: a new reading of Carnap’s Aufbau.Iulian D. Toader -2015 -Synthese 192 (5):1543-1557.
    This paper argues that Carnap's project in the Aufbau is best considered as an attempt to determine the conditions for both objectivity and understanding, thus aiming at refuting the skeptical contention that objectivity and understanding are incompossible ideals of science.
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  • Why did Weyl think that formalism's victory against intuitionism entails a defeat of pure phenomenology?Iulian D. Toader -2014 -History and Philosophy of Logic 35 (2):198-208.
    This paper argues that Weyl took formalism to prevail over intuitionism with respect to supporting scientific objectivity, rather than grounding classical mathematics. This is the respect in which he came to reject pure phenomenology as well.
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  • Against Harmony: Infinite Idealizations and Causal Explanation.Iulian D. Toader -2015 - In Ilie Parvu, Gabriel Sandu & Iulian D. Toader,Romanian Studies in Philosophy of Science. Boston Studies in the Philosophy and History of Science, vol. 313: Springer. pp. 291-301.
    This paper argues against the view that the standard explanation of phase transitions in statistical mechanics may be considered a causal explanation, a distortion that can nevertheless successfully represent causal relations.
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