This paper accomplishes two goals. First, the essay elucidates Husserl’s descriptions of meaning consciousness from the 1901 Logical Investigations. I examine Husserl’s observations about the three ways we can experience meaning and I discuss his conclusions about the structure of meaning intentions. Second, the paper explores how Husserl reworked that 1901 theory in his 1913/14 Revisions to the Sixth Investigation. I explore how Husserl transformed his descriptions of the three intentions involved in meaningful experience. By doing so, Husserl not only (...) recognized intersubjective communication as the condition of possibility of linguistic meaning acts, but also transformed his account of the structure of both signitive and intuitive acts. In the conclusion, I cash out this analysis, by showing how, on the basis of these new insights, Husserl reconstructs his theory of fulfillment. (shrink)

The problem of ‘collective unity’ in the transcendental philosophies of Kant and Husserl is investigated on the basis of number’s exemplary ‘collective unity’. To this end, the investigation reconstructs the historical context of the conceptuality of the mathematics that informs Kant’s and Husserl’s accounts of manifold, intuition, and synthesis. On the basis of this reconstruction, the argument is advanced that the unity of number – not the unity of the ‘concept’ of number – is presupposed by each transcendental philosopher in (...) their accounts of the transcendental foundation of manifold, intuition, and synthesis. This presupposition is ultimately traced to Kant’s and Husserl’s responses to Hume’s philosophy of human understanding and the critical limits of what Kant calls the ‘qualitative’ unity of transcendental consciousness. These critical limits are exposed in both philosophers’ attempts to account for that ‘qualitative’ unity on the basis of the ‘quantitative’ unity of number. (shrink)

Françios Viète was a geometer in search of better techniques for astronomical calculation. Through his theorem on angular sections he found a use for higher-dimensional geometric magnitudes which allowed him to create an algebra for geometry. We show that unlike traditional numerical algebra, the knowns and unknowns in Viète’s logistice speciosa are the relative sizes of non-arithmetized magnitudes in which the “calculations” must respect dimension. Along with this foundational shift Viète adopted a radically new notation based in Greek geometric equalities. (...) His letters stand for values rather than types, and his given values are undetermined. Where previously algebra was founded in polynomials as aggregations, Viète became the first modern algebraist in working with polynomials built from operations, and the notations reflect these conceptions. Viète’s innovations are situated in the context of sixteenth-century practice, and we examine the interpretation of Jacob Klein, the only historian to have conducted a serious inquiry into the ontology of Viète’s “species”. (shrink)

There are three steps in my description of the ground-problem of value: First, Husserl’s analysis of the crisis of reason is based on the systematic loss and phenomenological recovery of the intuitive evidence of the lifeworld. But if letter symbols are essential to formalizing abstraction, as Klein’s de-sedimentation of Vieta’s institution of modern algebra shows, then the ultimate substrates upon which formalization rests cannot be “individuals” in Husserl’s sense. The consequence of the essentiality of the letter symbols to formalization is (...) that no direct reference to intuitive evidence of individuals is possible from formal structures. Second, the crisis of reason in Marx’s Capital on commodities contains a parallel analysis of the contradictory relation between formalism and evidence. The value-structure of capitalist society expels qualitative value to subjective use and imposes a homogeneous standard on social representation of value such that quantitative values are not grounded in the experience of use which entails that the system of general value becomes a mere aggregate. Third, the problem of value, or formal axiology, is the core of a teleological convergence between phenomenology and Marxism. A short phenomenological description of the experience of value shows that practical activities generate valuations that are experienced with an intensity through which they aim toward social representation. The conclusion is that the social representation of value in capitalist society intervenes into the constitution of the community by the intensity of individuals’ value-experience to reduce its system of value to an unthematized simple aggregate of value-quantities. (shrink)

The French philosopher Simone Weil (1909-1943) thought of geometry and algebra not as complementary modes of mathematical investigation, but rather as constituting morally opposed approaches: whereas geometry is the sine qua non of inquiry leading from ruthless passion to temperate perception, in accord with the human condition, algebra leads in the reverse direction, to excess and oppression. We explore the constituents of this argument, with their roots in classical Greek thought, and also how Simone Weil came to qualify it following (...) her exchange with her brother, the mathematician André Weil. (shrink)

It is well known that the notion of transcendental logic has a prominent role in both Kant’s and Husserl’s theories of knowledge. The main aim of the present paper is to study the links between formal and transcendental logic in Husserl on the one hand, and the links between general logic and transcendental logic in Kant on the other. There is a debate about the proper relation between transcendental logic and general logic in Kant’s philosophy. By means of our definition (...) of transcendental logic, mainly drawn from Husserl’s analyses, we will try to offer an appropriate interpretation of Kant’s view. (shrink)

This paper focuses on the connection between meaning, the specific field of phenomenological philosophy, and mattering, the cornerstone of personal identity. Doing so requires that we take a stand on the scope and method of phenomenological philosophy itself. I will argue that while we can describe our lives in an “impersonal” way, such descriptions will necessarily omit what makes it the case that such lives can matter at all. This will require distinguishing between “personal” identity and “self” identity, an idea (...) well-established in the phenomenological literature – for instance, in Husserl’s distinction between the “transcendental ego” and the person -- but I will argue that self-identity is a normative achievement whose clarification requires a move into second-person phenomenology. The argument moves through three sections. First, I will discuss Aron Gurwitsch’s “non-egological” conception of consciousness and will explain the most important reason Husserl rejected this view in his transcendental phenomenology. Second, I will discuss some contemporary approaches to Husserl’s distinction between person and ego. Third, I will argue that these approaches testify to an ambiguity in Husserl’s account of being “true” to oneself that requires us to understand selfhood as having the structure Heidegger called care. The importance of this will be demonstrated phenomenologically in a critical examination of Paul Ricoeur’s ontology of selfhood, particularly his interpretation of the second-person phenomenology of conscience. (shrink)

Husserl’s concept of an “historical apriori” is marked by a tension: It simultaneously departs from, and develops his long-standing commitment to philosophy as transcendental phenomenology. This paper looks at some reasons for this tension in the context of Husserl’s attempt to determine philosophy as a “tradition” in The Origin of Geometry. Husserl is convinced that philosophy is a scientific tradition, and the historical apriori serves in the analysis of the conditions that define a distinctively scientific “handing down.” The key here (...) is a kind of writing—mathematics—thanks to which the participants in the tradition can be certain that they are in essential connection with the “original” idealities of that tradition. But Husserl’s discovery about the individual philosopher’s relation to the philosophical tradition—namely, that it is always mediated by a kind of “poetic invention”—undermines his conviction that philosophy can be a scientific tradition. This is Husserl’s “existentialism.”. (shrink)

The main topic of this essay is symbolic mathematics or the method of symbolic construction, which I trace to the end of the sixteenth century when Franciscus Vieta invented the algebraic symbolism and started to use the word ‘symbolic’ in the relevant, non-ontological sense. This approach has played an important role for many of the great inventions in modern mathematics such as the introduction of the decimal place-value system of numeration, Descartes’ analytic geometry, and Leibniz’s infinitesimal calculus. It was also (...) central for the rigorization movement in mathematics in the late nineteenth century, as well as for the mathematics of modern physics in the 20th century.However, the nature of symbolic mathematics has been concealed and confused due to the strong influence of the heritage from the Euclidean and Aristotelian traditions. This essay sheds some light on what has been concealed by approaching some of the crucial issues from a historical perspective. Furthermore, I argue that the conception of modern mathematics as symbolic mathematics was essential to Wittgenstein’s approach to the foundations and nature of mathematics. This connection between Wittgenstein’s thought and symbolic mathematics provides the resources for countering the still prevalent view that he defended an uttrely idiosyncratic conception, disconnected from the progress of serious science. Instead, his project can be seen as clarifying ideas that have been crucial to the development of mathematics since early modernity. (shrink)

I argue that we find the articulation of a problem concerning bodily agency in the early works of the Merleau-Ponty which he explicates as analogous to what he explicitly calls the problem of perception. The problem of perception is the problem of seeing how we can have the object given in person through it perspectival appearances. The problem concerning bodily agency is the problem of seeing how our bodily movements can be the direct manifestation of a person’s intentions in the (...) world. In both cases what, according to Merleau-Ponty, obscures a recognition of the phenomenon in question is a conception of our bodily capacities, i.e. our sensibility and our motility, which reduces these to the workings of mechanisms that are blind to meaning. I argue that both the problem concerning perception and the problem concerning bodily agency can be properly called transcendental. The problem of perception is transcendental because it concerns the very intelligibility of appearances and judgements with empirical content. The problem of bodily agency is transcendental in the sense that it concerns the very intelligibility of our bodily capacity to carry out intentions and by implication the intelligibility of our intentions as such. (shrink)

Why is nature amenable to mathematical description? This question has received attention in the philosophy of science but rarely from a phenomenological perspective. Nevertheless Husserl’s late essay “The Origin of Geometry,” which has received some critical scholarly attention in recent years, contains the beginning of a striking answer. This answer proceeds from Husserl’s main claim in that essay, which he also makes in the Crisis of the European Sciences, that the original meaning of science has been covered over or “sedimented” (...) by concepts that obscure the true intentional core of scientific meaning. In the first three sections of this paper I develop Husserl’s central insights about mathematics in light of two contemporary critiques of his project of “reactivation” of the original, sedimented meaning of science. In the latter two sections, I argue that accepting Husserl’s account of the original meaning and development of science offers a promising explanation of why nature is amenable to mathematics. This explanation hinges on a conception of the objects and methods of mathematics and the mathematized physical sciences as accomplishments, that is, as constituted contents of consciousness. (shrink)

This paper reconstructs and critically analyzes Husserl’s philosophical engagement with symbolic technologies—those material artifacts and cultural devices that serve to aid, structure and guide processes of thinking. Identifying and exploring a range of tensions in Husserl’s conception of symbolic technologies, I argue that this conception is limited in several ways, and particularly with regard to the task of accounting for the more constructive role these technologies play in processes of meaning-constitution. At the same time, this paper shows that a critical (...) examination of Husserl’s account of symbolic technologies, particularly as developed in his mature, genetic phenomenology, can be enduringly fruitful—if some of the specific conceptual weakness of this account are identified and properly accounted for. My discussion will proceed as follows. In the first part I briefly analyze the early Husserl’s account of the role the ‘method of sensible signs’ plays in arithmetic cognition. In the second, main part I critically examine the bearing the genetic-phenomenological concepts of sedimentation and technization have on the conceptualization of symbolic technologies in Husserl’s work. In the final part I summarize the major strengths and weaknesses of Husserl’s account of symbolic technologies, and in the process make a case for the ongoing relevance of some of the crucial elements of this account. (shrink)

This article is an attempt to formulate a clear definition of the concept of crisis of Western sciences introduced by Husserl in his last work. The attempt will be based on a reading of the Krisis, which will stress its underlying continuity with Husserl’s life-long concerns about the theoretical insufficiency of positive sciences, and downplay the novelty of the idea of crisis itself within Husserl’s work. After insisting on the fact that, according to Husserl, only an account of the shortcomings (...) of the scientificity of Western sciences can justify the claim that they are undergoing a crisis, it will be argued that the common definition of the crisis of the sciences as the loss of their significance for life rests on a misunderstanding. The crisis of Western sciences will be characterized, instead, as the repercussion of the crisis of the scientificity of philosophy on the scientificity of positive sciences. The loss of significance of scientific knowledge for our existence will in turn appear as a further, inevitable consequence of the uprooting of the sciences from the soil of a universal philosophy culminating in metaphysics, and thus, as a phenomenon deeply intertwined with the crisis of Western sciences, but not identical to it. (shrink)

This paper explores the political import of Husserl’s critical discussion of the epistemic effects of the formalization of rational thinking. More specifically, it argues that this discussion is of direct relevance to make sense of the pervasive processes of ‘technization’, that is, of a mechanistic and superficial generation and use of knowledge, to be observed in current contexts of governance. Building upon Husserl’s understanding of formalization as a symbolic technique for abstraction in the thinking with and about numbers, I argue (...) that processes of technization, while being necessary and legitimate procedures for the reduction of complexities, also may give rise to politically unresponsive and ultimately dysfunctional ‘economies of thinking.’ This paper is structured in three parts. In the first part I outline Husserl’s account of the formalization and technization of thought and knowledge. In the second part I make my case for the political import of this account, departing in this context from positions that (a) regard Husserl’s discussions of formalization and its effects as merely epistemological, or that (b) try to mobilize Husserl for a one-sided critique of instrumental reason. In the final part I address a major shortcoming of Husserl’s account, namely its neglect of the concrete and historically evolving technological infrastructures of processes of formalization/technization. (shrink)