We seek to elucidate the philosophical context in which one of the most important conceptual transformations of modern mathematics took place, namely the so-called revolution in rigor in infinitesimal calculus and mathematical analysis. Some of the protagonists of the said revolution were Cauchy, Cantor, Dedekind,and Weierstrass. The dominant current of philosophy in Germany at the time was neo-Kantianism. Among its various currents, the Marburg school (Cohen, Natorp, Cassirer, and others) was the one most interested in matters scientific and mathematical. Our (...) main thesis is that Marburg neo-Kantian philosophy formulated a sophisticated position towards the problems raised by the concepts of limits and infinitesimals. The Marburg school neither clung to the traditional approach of logically and metaphysically dubious infinitesimals, nor whiggishly subscribed to the new orthodoxy of the “great triumvirate” of Cantor, Dedekind, and Weierstrass that declared infinitesimals conceptus nongrati in mathematical discourse. Rather, following Cohen’s lead, the Marburg philosophers sought to clarify Leibniz’s principle of continuity, and to exploit it in making sense of infinitesimals and related concepts. (shrink)

The ArgumentRecent archival research has brought about a new understanding of the import of Einstein's puzzling remarks (1916) attributing a physical meaning to general covariance. Debates over the scope and meaning of general covariance still persist, even within physics. But already in 1921 Cassirer identified the significance of general covariance as a novel stage in the development of the criterion of objectivity within physics; an account of this development, and its implications, is the primary task undertaken in his monograph of (...) “epistemological considerations” on the theory of relativity. Cassirer's assessment is correct: general covariance, understood as an injunction against dynamical theories with background elements, is a “limiting heuristic principle” guiding Einstein's fundamental conception of a “complete field theory”; as such, it underlies a “separation principle” built into the conceptual framework of the EPR criticism of quantum mechanics. In conclusion, a further parallel is noted: mutual recognition that the principle of general covariance is but a form of “anthropomorphism.”. (shrink)

La remisión del problema relativo al como de la captación de pensamientos a la psicología por parte de Frege ha llevado a que se imponga entre los críticos la idea de que toda consideración subjetiva está ausente en este autor. La crítica fregueana al psicologismo, sin embargo, se concentra en una crítica a la concepción psicologista de subjetividad y, correlativamente, implica una concepción de subjetividad novedosa en el contexto de la filosofía alemana de la segunda mitad del s. XIX que, (...) como la husserliana, es no-naturalística e intencional.The assignment to psychology by Frege of the problem concerning how a thought is grasped has made the idea that all subjective considerations are absent from this author's work a dominant one amongst its critics. The fregean critic of psychologism, however, focusses on a critic of the psychologistic conception of the subjectivity and accordingly implies a conception of the subjective that is new in the context of the German philosophy of the second half of the 19th century and that is, like Husserl´s, non- naturalistic and intentional. (shrink)

This article compares and contrasts Hans Kelsen's concept of normative imputation, in the Lecture Course of 1926, with the concepts of peripheral and central imputation, in The Pure Theory of Law of 1934. In this process, a wider and more significant distinction is revealed within the development of Hans Kelsen's theory of positive law. This distinction represents a shift in Kelsen's philosophical allegiance from the Neo-Kantianism of Windelband to that of Cohen. This, in turn, reflects a broader disengagement of The (...) Pure Theory of Law from the more direct connection with a political project of a civitas maxima envisaged by the Lecture Course. (shrink)

A comprehensive definition of the phenomenon called "life" led to the addition of many dimensions to the natural sciences, and especially the conscious mental dimension. Historical attention is paid not only to those employing the natural philosophical paradigms, but also to evolutionary theories and to the Kantian teleological philosophy. The belief that science can solve the riddle of life is a category of purposal thinking. A revised version of critical teleology is essential for comprehension of life.

RÉSUMÉ: Dans cet article, j’entreprends de clarifier le projet (frégéen) d’une logique de l’arithmétique -- tel qu’il a été discuté par Natorp et Rickert -- en distinguant trois questions directrices. Le nombre est-il un objet logique? L’arithmétique est-elle réductible à la logique? Est-il possible de déduire les opérations arithmétiques de lois purement logiques? Ma thèse est que la distinction rigoureuse de ces trois questions permet de lever une grande partie des obscurités qui affectent en généralle programme d’une logique de l’arithmétique. (...) La contribution néo-kantienne à ce programme se trouve du même coup éclairée d’une lumière nouvelle.ABSTRACT: In this article, I try to shed light on the (Fregean) project of a logic of arithmelic-as discussed by Natorp and Rickert-by outlining three main questions. Is the number a logical object? Is arithmetic reducible to logic? Is it possible to deduce the arithmetical operations from purely logical laws? I argue that rigorous distinction between these three questions makes it possible to elucidate many problems affecting the program of a logic of arithmetic. The Neo-Kantian contribution to this program is at the same time considered in a new light. (shrink)

This article introduces the first English translation of one of Tanabe’s early essays on metaphysics. It questions the relation of the universal to the particular in context of logic, phenomenology, Neo-Kantian epistemology, and classical metaphysics. Tanabe provides his reflections on the nature of the concept of universality and its constitutive relation to phenomenal particulars through critical analyses of the issue as it is discussed across various schools of philosophy including: British Empiricism, the Marburg School, the Austrian School, the Kyoto School, (...) and Platonism. In this essay, Tanabe reveals his ability to think metaphysically the ground for the possibility of reasoning and dares to voice his own thought beyond references to the most prominent thinkers of his time from distinct intellectual traditions in both the east and the west. This essay, therefore, demonstrates that his strong tendency to move beyond the received epistemology and phenomenology of the European intellectual tradition to metaphysics was already present in the early days of his academic life and thereby marks a more general contribution of the Kyoto School of Philosophy to distinct European schools of thought in the early twentieth century. (shrink)

O artigo tem por objetivo contribuir para a já antiga discussão sobre a relação de Kant com a metafísica expondo os diversos sentidos que esta disciplina assume na filosofia crítica. Orientada por um interesse sistemático e tendo por base o capítulo sobre a Arquitetônica da Razão Pura da Crítica da razão pura, a presente investigação procura esclarecer a reformulação por que passam na filosofia crítica kantiana as disciplinas tradicionais da metafísica racionalista, mais precisamente a metaphysica generalis e a metaphysica specialis, (...) reconfiguradas em uma analítica do entendimento e em uma fisiologia da razão, respectivamente, e ancoradas no projeto propriamente kantiano de uma Metafísica dos Costumes e uma Metafísica da Natureza. (shrink)