The reflection on the preconditions and evolution of science has played a decisive role in the development of Ernst Cassirer's philosophy, contributing to its functional and thus inherently pluralistic and holistic view of knowledge. To present Cassirer's conception of physics as an open symbolic formation enables us to reveal and study the radical features of his epistemological model: (1) the fundamental process of generating sense-units and meaning in its constitutive character for each attempt of objectification, (2) its driving and structuring (...) dynamics that touches and transforms all elements of knowledge, the a priori included, (3) the strategies of justification that allow maintaining the claim of truthfulness in spite the fact that Cassirer's open model integrates contingency and transitoriness as an inherent part of knowledge. It thus becomes clear that Cassirer's term 'symbol' cannot be reduced to its habitual representational acceptation, for its key theoretical function is to overcome the inconsistencies of dualistic epistemological models. It is this re-orientation, a kind of 'second Copernican revolution', that allows Cassirer to go beyond traditional dichotomies and to propose a larger frame in which to appreciate the diversity of human understanding. (shrink)

This article discusses the question whether or not Cassirer’s philosophical critique of technological use of myth in The Myth of the State implies a revision of his earlier conception and theory of myth as provided by The Philosophy of Symbolic Forms. In the first part, Cassirer’s early theory of myth is compared with other approaches of his time. It is claimed that Cassirer’s early approach to myth has to be understood in terms of a transcendental philosophical approach. In consequence, myth (...) is conceived as a form of cultural consciousness which is constituted by specific symbolic processes. In the second part, the theoretical assumptions underlying Cassirer’s criticism of myth are discussed and compared with his earlier theory. It is argued that there is a strong conceptual and theoretical continuity between Cassirer’s early views on myth as a symbolic form and his later critique of technological use of myth. (shrink)

The ArgumentBiology, understood in turn-of-the-century Germany to include psychology, held a central but enigmatic place in the philosopher Ernst Cassirer's work. From his earliest studies with Hermann Cohen through his long engagement with the theoretical biology of Jakob von Uexküll and Adolf Meyer-Abich, Cassirer consistently used the history and practice of biology to examine and delineate a set of characteristic tensions between the natural and cultural sciences. This paper examines Cassirer's treatment of this theme by addressing two contrasting interpretations he (...) gave — in hisPhilosophy of Symbolic Forms and in hisEssay on Man — to the benchmark case from empirical psychology of the “talking” horse “Clever Hans.” The original case involved the horse's ability to signal answers to remarkably complex questions by stamping its hooves, an ability that ultimately appeared to rest on a capacity to detect extremely minute unintentional movement cues in its auditors as it reached the appropriate answer. Due to both Cassirer's shifting description of the case within his philosophy and the case's inherent polyvalence, Cassirer's remarks provide a useful window onto the social, epistemological, and stylistic meaning of his “unified” philosophy of human culture and science. (shrink)

We examine some of Connes’ criticisms of Robinson’s infinitesimals starting in 1995. Connes sought to exploit the Solovay model S as ammunition against non-standard analysis, but the model tends to boomerang, undercutting Connes’ own earlier work in functional analysis. Connes described the hyperreals as both a “virtual theory” and a “chimera”, yet acknowledged that his argument relies on the transfer principle. We analyze Connes’ “dart-throwing” thought experiment, but reach an opposite conclusion. In S , all definable sets of reals are (...) Lebesgue measurable, suggesting that Connes views a theory as being “virtual” if it is not definable in a suitable model of ZFC. If so, Connes’ claim that a theory of the hyperreals is “virtual” is refuted by the existence of a definable model of the hyperreal field due to Kanovei and Shelah. Free ultrafilters aren’t definable, yet Connes exploited such ultrafilters both in his own earlier work on the classification of factors in the 1970s and 80s, and in Noncommutative Geometry, raising the question whether the latter may not be vulnerable to Connes’ criticism of virtuality. We analyze the philosophical underpinnings of Connes’ argument based on Gödel’s incompleteness theorem, and detect an apparent circularity in Connes’ logic. We document the reliance on non-constructive foundational material, and specifically on the Dixmier trace −∫ (featured on the front cover of Connes’ magnum opus) and the Hahn–Banach theorem, in Connes’ own framework. We also note an inaccuracy in Machover’s critique of infinitesimal-based pedagogy. (shrink)

Cassirer's approach to symbolic mediation differs in some important ways from currently prevailing approaches to meaning and signification such as semiology and its more recent poststructuralist varieties. Cassirer's philosophy of symbolic forms offers a theory of symbols that does not amount to a sign theory or semiology. It sketches out, rather, a dynamic and nonrepresentational framework in which an alternative notion of difference takes centre stage. In order to make the original features of Cassirer's approach stand out, I will compare (...) it with the approach of the perhaps most influential differential thinker of our day, Jacques Derrida. The philosophy of symbolic forms explicitly prefigures a great many of the insights and concerns of poststructuralism. Yet, there are some critical differences. Rather than rejecting the concepts of objectivity, identity, and truth on the premises established by traditional metaphysics, Cassirer chooses to redefine these concepts through a radical conceptual reframing. The result is a doctrine that—in Derridean parlance—neither jumps beyond the oppositions of metaphysics, nor tries to resolve them in a Hegelian synthesis—a doctrine, that is, that even though it appeals to origins, cannot so easily be dismissed as yet another instantiation of the metaphysics of presence. (shrink)

Cassirer’s approach to symbolic mediation differs in some important ways from currently prevailing approaches to meaning and signification such as semiology and its more recent poststructuralist varieties. Cassirer’s philosophy of symbolic forms offers a theory of symbols that does not amount to a sign theory or semiology. It sketches out, rather, a dynamic and nonrepresentational framework in which an alternative notion of difference takes centre stage. In order to make the original features of Cassirer’s approach stand out, I will compare (...) it with the approach of the perhaps most influential differential thinker of our day, Jacques Derrida. The philosophy of symbolic forms explicitly prefigures a great many of the insights and concerns of poststructuralism. Yet, there are some critical differences. Rather than rejecting the concepts of objectivity, identity, and truth on the premises established by traditional metaphysics, Cassirer chooses to redefine these concepts through a radical conceptual reframing. The result is a doctrine that—in Derridean parlance—neither jumps beyond the oppositions of metaphysics, nor tries to resolve them in a Hegelian synthesis—a doctrine, that is, that even though it appeals to origins, cannot so easily be dismissed as yet another instantiation of the metaphysics of presence. (shrink)

The following paper deals with the notion of existence, especially as concerns natural languages. In Section 1, starting from some quite obvious examples drawn from logic, I sketch the problem of the existential presupposition usually ascribed to noun phrases. My opinion is that the point of view frequently adopted in this case is unduly restrictive, for the existence which is believed to be presupposed here is actual existence. Accordingly, I emphasize the need for having a weaker notion of existential presupposition, (...) such that the existence (if this word can still be used) here referred to is relevant only to linguistic goals. Section 2 sketches this notion, by assimilating existence (in the weak sense) to identification in a linguistic space. (I deal here only with intuitive considerations: a more formal account will be given, I hope, in another paper.) Finally, in Section 3, the notion of actual existence is examined by contrast with the linguistic (or weak) notion of existence: and this is a question which of course can't be tackled in terms of a purely linguistic analysis, for it needs a general, epistemo-logical approach. (shrink)