-
124“Critical philosophy begins at the very point where logistic leaves off”: Cassirer's Response to Frege and RussellPerspectives on Science 18 (4): 383-408. 2010.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” …Read more
-
24Frege, Lotze, and BooleIn Erich H. Reck (ed.), The Historical turn in Analytic Philosophy, Palgrave-macmillan. 2013.In the ‘analytic tradition’, Hans Sluga wrote thirty years ago in his book Gottlob Frege, there has been a ‘lack of interest in historical questions — even in the question of its own roots. Anti-historicism has been the baggage of the tradition since Frege’ (Sluga, 1980, p. 2). The state of the discussion of Frege among analytic philosophers, Sluga claimed, illustrated well this indifference. Despite the numbers of pages devoted to Frege, there was still, Sluga claimed, little understanding of t…Read more
-
39Review: Reed, The Origins of Analytic Philosophy: Kant and Frege (review)Notre Dame Philosophical Reviews 2008 (9). 2008.
-
19Ernst Cassirer, Kurt Lewin, and Hans ReichenbachIn Nikolay Milkov & Volker Peckhaus (eds.), The Berlin Group and the Philosophy of Logical Empiricism, Springer. pp. 67--94. 2013.
-
124The Priority Principle from Kant to FregeNoûs 48 (2): 268-297. 2013.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 that Frege's priority p…Read more
-
158Ernst Cassirer's Neo-Kantian Philosophy of GeometryBritish Journal for the History of Philosophy 19 (4). 2011.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 o…Read more
-
140Kant on real definitions in geometryCanadian Journal of Philosophy 44 (5-6): 605-630. 2014.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 rea…Read more
-
35Arithmetic and Number in the Philosophy of Symbolic FormsIn J. Tyler Friedman & Sebastian Luft (eds.), The Philosophy of Ernst Cassirer: A Novel Assessment, De Gruyter. pp. 123-140. 2015.
-
122Ernst Cassirer’s Substanzbegriff und FunktionsbegriffHopos: The Journal of the International Society for the History of Philosophy of Science 4 (2): 241-70. 2014.Ernst Cassirer’s book Substanzbegriff und Funktionsbegriff is a difficult book for contemporary readers to understand. Its topic, the theory of concept formation, engages with debates and authors that are largely unknown today. And its “historical” style violates the philosophical standards of clarity first propounded by early analytic philosophers. Cassirer, for instance, never says explicitly what he means by “substance-concept” and “function-concept.” In this article, I answer three questions…Read more
-
47Realism, functions, and the a priori: Ernst Cassirer's philosophy of scienceStudies in History and Philosophy of Science Part A 48 10-19. 2014.
Irvine, California, United States of America
Areas of Specialization
Logic and Philosophy of Logic |
Philosophy of Mathematics |
20th Century Philosophy |
17th/18th Century Philosophy |