Citations of:
Add citations
You must login to add citations.




In early major works, Cassirer and Schlick differently recast traditional doctrines of the concept and of the relation of concept to intuitive content along the lines of recent epistemological discussions within the exact sciences. In this, they attempted to refashion epistemology by incorporating as its basic principle the notion of functional coordination, the theoretical sciences' own methodological tool for dispensing with the imprecise and unreliable guide of intuitive evidence. Examining their respective reconstructions of the theory of knowledge provides an axis (...) 



What I want to point out is the “meaning change” that Friedman ascribes to terms and principles, which he calls a priori, in the transition from the old framework to the new: / 'This captures the sense, in particular, in which there has indeed been a ”meaning change” in the transition from the old framework to the new: even if the same terms and principles reappear in the new framework they do not have the same meaning they had in the (...) 

Este ensaio busca oferecer uma coleção de materiais historiográficos, em sua maior parte traduzidos do alemão, a bem da contextualização mais detalhada do papel de Moisés Mendelssohn no debate filosófico alemão da segunda metade do XVIII, em especial no que concerne à provável influência de suas reflexões em Kant e Hegel. Inicio com a consideração das novidades trazidas à tona por M. Serres no que concerne à interpretação de Leibniz, e o faço com o intuito de introduzir em sentido amplo (...) 

NeoKantianism emerged over the course of the 1860s and it occupied a leading position in the German universities from the 1870s until the First World War. Demands for getting "back to Kant" had become common since the early 1860s, and these demands were discussed in the meetings of the Philosophical Society of Berlin (Philosophische Gesellschaft zu Berlin; PGB), which was the international organization of Hegelians. In this paper I address some reactions among the PGB members to the 1860s Kant revival. (...) 

Marburg NeoKantianism has attracted substantial interest among contemporary philosophers drawn by its founding idea that the success of advanced theoretical science is a given fact and it is the task of philosophical inquiry to ground the objectivity of scientific achievement in its a priori sources (Cohen and Natorp 1906, p. i). The Marburg thinkers realized that recent advances and developments in the mathematical sciences had changed the character of Kant’s transcendental project, demanding new methods and approaches to establish the objectivity (...) 

Cassirer’s neoKantian epistemology has become a classical reference in contemporary history and philosophy of science. However, the historical aspects of his thought are sometimes seen to be in so... 

According to Michael Friedman, Ernst Cassirer’s “outstanding contribution [to NeoKantianism] 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 (...) 

This paper shows that Cassirer’s philosophy of mathematics underwent a significant transformation by the end of the 1920s. This transformation was due to Cassirer’s reception of the ‘foundational crisis’ within mathematics itself. David Hilbert’s conception of the ‘ideal elements’ of mathematics attracted Cassirer’s particular attention. Indeed, he sought a ‘transcendental deduction’ of these elements. Reflection on this issue is therefore essential to providing an adequate interpretation of the later Cassirer’s enterprise in the philosophy of mathematics. 

“Growth” or “Revolution”? Ernst Cassirer and History of Science. Ernst Cassirer's contributions to history of science have been long time neglected. The aim of this paper is to show the historical and philosophical framework of Cassirer's engagement in this field, starting from his seminal work about the problem of knowledge in science and philosophy of the modern age. Moreover the author suggests that Cassirer's late studies about Galilei and the origins of mathematical science are of some interest in order to (...) 

The question of the applicability of mathematics is an epistemological issue that was explicitly raised by Kant, and which has played different roles in the works of neoKantian philosophers, before becoming an essential issue in early analytic philosophy. This paper will first distinguish three main issues that are related to the application of mathematics: indispensability arguments that are aimed at justifying mathematics itself; philosophical justifications of the successful application of mathematics to scientific theories; and discussions on the application of real (...) 

The paper investigates Ernst Cassirer’s structuralist account of geometrical knowledge developed in his Substanzbegriff und Funktionsbegriff. The aim here is twofold. First, to give a closer study of several developments in projective geometry that form the direct background for Cassirer’s philosophical remarks on geometrical concept formation. Specifically, the paper will survey different attempts to justify the principle of duality in projective geometry as well as Felix Klein’s generalization of the use of geometrical transformations in his Erlangen program. The second aim (...) 

This paper compares Cohen’s Logic of Pure Knowledge and Cassirer’s Substance and Function in order to evaluate how in these works Cohen and Cassirer go beyond the limits established by Kantian philosophy. In his Logic, Cohen seeks to ground in pure thought all the elements which Kant distinguishes in empirical intuition: its matter as well as its form. In this way, Cohen tries to provide an account of knowledge without appealing to any receptivity. In accordance with Cohen’s project of reformulating (...) 



This paper has a twofold objective: to provide a balanced, multifaceted account of the origins of logicism; to rehabilitate Richard Dedekind as a main logicist. Logicism should be seen as more deeply rooted in the development of modern mathematics than typically assumed, and this becomes evident by reconsidering Dedekind's writings in relation to Frege's. Especially in its Dedekindian and Fregean versions, logicism constitutes the culmination of the rise of ?pure mathematics? in the nineteenth century; and this rise brought with it (...) 

The philosophy of mathematics has long been an important part of philosophy in the analytic tradition, ever since the pioneering works of Frege and Russell. Richard Dedekind was roughly Frege's contemporary, and his contributions to the foundations of mathematics are widely acknowledged as well. The philosophical aspects of those contributions have been received more critically, however. In the present essay, Dedekind's philosophical reception is reconsidered. At the essay’s core lies a comparison of Frege's and Dedekind's legacies, within and outside of (...) 

En este trabajo nos proponemos estudiar los vínculos que Cassirer establece entre los conceptos de causalidad, invariancia y sistematicidad en el conocimiento de la física. Para ello, comenzaremos considerando el marco general en el que se inscribe el análisis que Cassirer realiza. Este marco es el provisto por el método trascendental. En segundo lugar, consideraremos el principio de causalidad de Kant a la luz de su distinción entre principios constitutivos y principios regulativos de la experiencia. Luego, discutiremos las dificultades que (...) 

(2012). Gingerbread Nuts and Pebbles: Frege and the NeoKantians – Two Recently Discovered Documents. British Journal for the History of Philosophy. ???aop.label???. doi: 10.1080/09608788.2012.692665. 

O autor estuda o impacto de Kant na filosofia analítica contemporânea e na respetiva historiografia, desde Frege, Russell e o positivismo lógico vienense, até a algumas reformulações mais recentes do problema kantiano sobre a distinção entre o analítico e o sintético, e a possibilidade do sintético a priori, como é o caso, entre outras, da de Quine e da de Kripke. Discute as razões que estão na origem do retorno a Kant na filosofia analítica desde os anos cinquenta do século (...) 

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 (...) 



The aim of this paper is to show that a comprehensive account of the role of representations in science should reconsider some neglected theses of the classical philosophy of science proposed in the first decades of the 20th century. More precisely, it is argued that the accounts of Helmholtz and Hertz may be taken as prototypes of representational accounts in which structure preservation plays an essential role. Following Reichenbach, structurepreserving representations provide a useful device for formulating an uptodate version of (...) 

Sie ist eine systematische und dialektische Auseinandesetzung mit Kants Architektonik der reinen Vernunft in der Kritik der reinen Vernunft. Damit zeigt Sie uns an, dass die Kritik der reinen Vernunft sich mit der Unterscheidung von Anschauung und Begriffen als eine Aufklärung einer praktischen Zweckmäßigkeit unserer Vernunft vorstellt. 



The aim of this paper is make a contribution to the ongoing search for an adequate concept of the a priori element in scientific knowledge. The point of departure is C.I. Lewis’s account of a pragmatic a priori put forward in his "Mind and the World Order" (1929). Recently, Hasok Chang in "Contingent Transcendental Arguments for Metaphysical Principles" (2008) reconsidered Lewis’s pragmatic a priori and proposed to conceive it as the basic ingredient of the dynamics of an embodied scientific reason. (...) 



This paper addresses a number of closely related questions concerning Kant's model of intentionality, and his conceptions of unity and of magnitude [Gröβe]. These questions are important because they shed light on three issues which are central to the Critical system, and which connect directly to the recent analytic literature on perception: the issues are conceptualism, the status of the imagination, and perceptual atomism. In Section 1, I provide a sketch of the exegetical and philosophical problems raised by Kant's views (...) 



We seek to elucidate the philosophical context in which one of the most important conceptual transformations of modern mathematics took place, namely the socalled 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 neoKantianism. Among its various currents, the Marburg school (Cohen, Natorp, Cassirer, and others) was the one most interested in matters scientific and mathematical. Our (...) 

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 neoKantian 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 (...) 

Although logicism played a significant role in Carnap's philosophical thinking, the relation of his philosophy of mathematics to the main tenets of the logicist tradition is complex and variable. is paper examines one aspect of this relation by discussing the following question: What elements of Carnap's Logical Syntax of Language, if any at all, indicate a real commitment to that tradition? It will be shown that although important aspects of FregeRussell logicism are incorporated into the framework developed in that book, (...) 



Lawvere’s axiomatization of topos theory and Voevodsky’s axiomatization of heigher homotopy theory exemplify a new way of axiomatic theorybuilding, which goes beyond the classical Hibertstyle Axiomatic Method. The new notion of Axiomatic Method that emerges in Categorical logic opens new possibilities for using this method in physics and other natural sciences. 

In recent years, Reichenbach's 1920 conception of the principles of coordination has attracted increased attention after Michael Friedman's attempt to revive Reichenbach's idea of a "relativized a priori". This paper follows the origin and development of this idea in the framework of Reichenbach's distinction between the axioms of coordination and the axioms of connection. It suggests a further differentiation among the coordinating axioms and accordingly proposes a different account of Reichenbach's "relativized a priori". 

© The Author [2017]. Published by Oxford University Press. All rights reserved. For permissions, please email: journals.permissions@oup.comRichard Dedekind was a contemporary of Bernhard Riemann, Georg Cantor, and Gottlob Frege, among others. Together, they revolutionized mathematics and logic in the second half of the nineteenth century. Dedekind had an especially strong influence on David Hilbert, Ernst Zermelo, Emmy Noether, and Nicolas Bourbaki, who completed that revolution in the twentieth century. With respect to mainstream mathematics, he is best known for his contributions (...) 

I elaborate in some detail on the First Book of Euclid's ``Elements'' and show that Euclid's theory of geometry is \underline{not} axiomatic in the modern sense but is construed differently. Then I show that the usual commonly accepted notion of axiomatic theory equally fails to account for today's mathematical theories. I provide some polemical arguments against the popular view according to which a good mathematical theory must be axiomatic and point to an alternative method of theorybuilding. Since my critique of (...) 

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 NeoKantian 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 (...) 



Einleitung Die Kantische Philosophie der Mathematik ist nach einer weitverbreiteten Meinung in ihren Grundzügen überholt. Die moderne Mathematik gilt, ganz unkantisch, als analytisches Denken. Im folgenden soll für eine partielle Verteidigung von Kants Philosophie der Mathematik argumentiert werden. Sie hat nämlich den Gegenstandsbezug der Mathematik und deren Anwendungsrelation zu ihrem zentralen Problem gemacht. Für Kant war es die Anschauung, die den gegenständlichen Bezug ermöglichen sollte und in dieser Funktion ist sie, wie von einem anwendungsorientierten Standpunkt aus argumentiert wird, keineswegs überholt. (...) 

The vicissitudes of mathematical reason in the 20th century Content Type Journal Article Pages 16 DOI 10.1007/s110160119556y Authors Thomas Mormann, Department of Logic and Philosophy of Science, University of the Basque Country UPV/EPU, DonostiaSan Sebastian, Spain, Journal Metascience Online ISSN 14679981 Print ISSN 08150796. 

Singlecase and longrun propensity theories are among the main objective interpretations of probability. There have been various objections to these theories, e.g. that it is difficult to explain why propensities should satisfy the probability axioms and, worse, that propensities are at odds with these axioms, that the explication of propensities is circular and accordingly not informative, and that singlecase propensities are metaphysical and accordingly nonscientific. We consider various propensity theories of probability and their prospects in light of these objections. We (...) 







A detailed argument is provided for the thesis that Dedekind was a logicist about arithmetic. The rules of inference employed in Dedekind's construction of arithmetic are, by his lights, all purely logical in character, and the definitions are all explicit; even the definition of the natural numbers as the abstract type of simply infinite systems can be seen to be explicit. The primitive concepts of the construction are logical in their being intrinsically tied to the functioning of the understanding. 