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Profile: Jeremy Heis (University of California, Irvine)
  1. Jeremy Heis (forthcoming). Kant on Real Definitions in Geometry. Canadian Journal of Philosophy:1-26.
    This paper gives a contextualized reading of Kant's theory of real definitions in geometry. Though Leibniz, Wolff, Lambert and Kant all believe that definitions in geometry must be ‘real’, they disagree about what a real definition is. These disagreements are made vivid by looking at two of Euclid's definitions. I argue that Kant accepted Euclid's definition of circle and rejected his definition of parallel lines because his conception of mathematics placed uniquely stringent requirements on real definitions in geometry. Leibniz, Wolff (...)
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  2. Jeremy Heis (2014). Kant's Construction of Nature. Philosophical Review 123 (3):342-354.
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  3. Jeremy Heis (2014). The Priority Principle From Kant to Frege. Noûs 48 (2):268-297.
    In a famous passage (A68/B93), Kant writes that “the understanding can make no other use of […] concepts than that of judging by means of them.” Kant's thought is often called the thesis of the priority of judgments over concepts. We find a similar sounding priority thesis in Frege: “it is one of the most important differences between my mode of interpretation and the Boolean mode […] that I do not proceed from concepts, but from judgments.” Many interpreters have thought (...)
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  4. Jeremy Heis (2013). Ernst Cassirer, Kurt Lewin, and Hans Reichenbach. In Nikolay Milkov & Volker Peckhaus (eds.), The Berlin Group and the Philosophy of Logical Empiricism. Springer. 67--94.
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  5. Jeremy Heis (2013). Frege, Lotze, and Boole. In Erich H. Reck (ed.), The Historical Turn in Analytic Philosophy. Palgrave Macmillan.
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  6. Jeremy Heis (2011). Ernst Cassirer's Neo-Kantian Philosophy of Geometry. British Journal for the History of Philosophy 19 (4):759 - 794.
    One of the most important philosophical topics in the early twentieth century and a topic that was seminal in the emergence of analytic philosophy was the relationship between Kantian philosophy and modern geometry. This paper discusses how this question was tackled by the Neo-Kantian trained philosopher Ernst Cassirer. Surprisingly, Cassirer does not affirm the theses that contemporary philosophers often associate with Kantian philosophy of mathematics. He does not defend the necessary truth of Euclidean geometry but instead develops a kind of (...)
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  7. Jeremy Heis (2010). “Critical Philosophy Begins at the Very Point Where Logistic Leaves Off”: Cassirer's Response to Frege and Russell. Perspectives on Science 18 (4):383-408.
    According to Michael Friedman, Ernst Cassirer’s “outstanding contribution [to Neo-Kantianism] was to articulate, for the first time, a clear and coherent conception of formal logic within the context of the Marburg School” (Friedman 2000, p. 30). In his paper “Kant und die moderne Mathematik” (1907), Cassirer argued not only that the new relational logic of Frege1 and Russell was a major breakthrough with profound philosophical implications, but also that the logicist thesis itself was a “fact” of modern mathematics. Cassirer summarizes (...)
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  8. Jeremy Heis (2008). Review: Reed, The Origins of Analytic Philosophy: Kant and Frege. [REVIEW] Notre Dame Philosophical Reviews 2008 (9).