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Abstract. The aim of this paper is to reconstruct the debate on Begriffstheorie between Ernst Cassirer, the Swe¬dish philosopher Konrad Marc-Wogau, and, virtually, Moritz Schlick. It took place during in the late thirties when Cassirer had immigrated to Sweden. While Cassirer argued for a rich “constitutive” theory of concepts, Marc-Wogau, and, in a different way, Schlick favored “austere” non-con¬sti¬¬tutive theories of concepts. Ironically, however, Cassirer used Schlick’s account as a weapon to counter Marc-Wogau’s criticism of his rich con¬¬sti¬tu¬¬tive theory of concepts. With the help of modern Formal Concept Theory (FCT) it can be shown, however, that Marc-Wogau’s argument is flawed.

The article reconsiders the Davos-debate between Martin Heidegger and Ernst Cassirer to reassess the discussion of interrelations and differences of their philosophies. The focus is the fecund motifs of thought that each philosopher presents. These are worked out by dispersing the contexts. Heidegger’s primary motifs of thought are identified through the work of Jean-Francois Lyotard as the question of finitude understood as continuance of the event and as the act of understanding the event. The primary motif of thought in Cassirer’s philosophy is identified with the question of form and formation. It is argued that it is possible to think the motifs of event and form in connection with each other. The focal point of connection between their philosophies is uncovered in the relations of form between persons—in the rigorous practice of promising and demanding. The philosophies of Heidegger and Cassirer are thus read in a way where they productively enhance each other without minimizing the differences of their motifs of thought.

Once in a while stunning new ideas that energize a scholarly discipline — or even wreck it altogether — come from the outside. The most influential philosopher of science in the last generation was not a philosopher at all, but an historian and physicist, Thomas Kuhn. Ernst Gombrich, an art historian, has deeply informed the philosophy of art, as the linguist Noam Chomsky has affected the philosophy of language. And Jacques Derrida continues to cast his stupefying spell over many a literature department, even if most philosophers remain unimpressed.

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 logicism modeled on Richard Dedekind's foundations of arithmetic. Further, because he shared with other Neo-Kantians an appreciation of the developmental and historical nature of mathematics, Cassirer developed a philosophical account of the unity and methodology of mathematics over time. With its impressive attention to the detail of contemporary mathematics and its exploration of philosophical questions to which other philosophers paid scant attention, Cassirer's philosophy of mathematics surely deserves a place among the classic works of twentieth century philosophy of mathematics. Though focused on Cassirer's philosophy of geometry, this paper also addresses both Cassirer's general philosophical orientation and his reading of Kant.

The notion of idealization has received considerable attention in contemporary philosophy of science but less in philosophy of mathematics. An exception was the ‘critical idealism’ of the neo-Kantian philosopher Ernst Cassirer. According to Cassirer the methodology of idealization plays a central role for mathematics and empirical science. In this paper it is argued that Cassirer's contributions in this area still deserve to be taken into account in the current debates in philosophy of mathematics. For extremely useful criticisms on earlier versions I am grateful to B.P. Larvor and another anonymous journal referee. CiteULike Connotea Del.icio.us What's this?

Biographical material.--Descriptive and critical essays on the philosophy of Ernst Cassirer.--The philosopher speaks for himself.--Bibliography of the writings of Ernst Cassirer.