Burt C. Hopkins presents the first in-depth study of the work of Edmund Husserl and Jacob Klein on the philosophical foundations of the logic of modern symbolic mathematics. Accounts of the philosophical origins of formalized concepts—especially mathematical concepts and the process of mathematical abstraction that generates them—have been paramount to the development of phenomenology. Both Husserl and Klein independently concluded that it is impossible to separate the historical origin of the thought that generates the basic concepts of mathematics from their (...) philosophical meanings. Hopkins explores how Husserl and Klein arrived at their conclusion and its philosophical implications for the modern project of formalizing all knowledge. (shrink)

As the founder of phenomenology, Edmund Husserl has been hugely influential in the development of contemporary continental philosophy. In _The Philosophy of Husserl_, Burt Hopkins shows that the unity of Husserl’s philosophical enterprise is found in the investigation of the origins of cognition, being, meaning, and ultimately philosophy itself. Hopkins challenges the prevailing view that Husserl’s late turn to history is inconsistent with his earlier attempts to establish phenomenology as a pure science and also the view of Heidegger and Derrida, (...) that the limits of transcendental phenomenology are historically driven by ancient Greek philosophy. Part 1 presents Plato’s written and unwritten theories of _eidê_ and Aristotle’s criticism of both. Part 2 traces Husserl’s early investigations into the formation of mathematical and logical concepts and charts the critical necessity that leads from descriptive psychology to transcendentally pure phenomenology. Part 3 investigates the movement of Husserl’s phenomenology of transcendental consciousness to that of monadological intersubjectivity. Part 4 presents the final stage of the development of Husserl’s thought, which situates monadological intersubjectivity within the context of the historical _a priori_ constitutive of all meaning. Part 5 exposes the unwarranted historical presuppositions that guide Heidegger’s fundamental ontological and Derrida’s deconstructive criticisms of Husserl’s transcendental phenomenology. _The Philosophy of Husserl_ will be required reading for all students of phenomenology. (shrink)

The article explores the relationship between the philosopher and historian of mathematics Jacob Klein’s account of the transformation of the concept of number coincident with the invention of algebra, together with Husserl’s early investigations of the origin of the concept of number and his late account of the Galilean impulse to mathematize nature. Klein’s research is shown to present the historical context for Husserl’s twin failures in the Philosophy of Arithmetic: to provide a psychological foundation for the proper concept of (...) number, and to show how this concept of number functions as the mathematical foundation of universal arithmetic. This context establishes that Husserl’s failures are ultimately rooted in the historical transformation of number documented in Klein’s research, from its premodern meaning as the unity of a multitude of determinate objects to its modern meaning as a symbolic representation with no immediate relation to a concrete multiplicity. The argum... (shrink)

Two of Husserl’s most important, though fragmentary texts from the final phase of his thought, The Crisis of European Sciences and Transcendental Phenomenology and “The Origin of Geometry as an Intentional-Historical Problem,” focus on the themes of history and the life-world. It is well known that prior to these works Husserl sought to establish transcendental phenomenology as both a factually and an historically pure eidetic science. Thus the interpreter of the whole of Husserl’s thought is faced with the question of (...) whether his later focus on history and the life-world represents a significant departure from his previous thought. In what follows, I shall defend the thesis that it does not. Specifically, I shall argue that the completion of Husserl’s project of realizing the goal of First Philosophy in transcendental phenomenology renders necessary the turn both to history and to the life-world. In connection with this, I shall argue further that the peculiar phenomenological character of this necessity demands that the ‘concepts’ of history and life-world operative in Husserl’s last texts are taken to be inseparably rooted in a more original phenomenon. Husserl conceives this more original phenomenon as the crisis situation of the exemplars of European humanity, the philosophers, who, as the “functionaries of mankind” are faced with the “breakdown” situation of our time, with the “breakdown” of science itself. (shrink)

I compare Plato’s and Husserl’s accounts of the non-original appearance and the original with a focus on their methodologies for distinguishing between them and the phenomenological—i.e., the answer to the question of the what and how of their appearance—criteria that drive their respective methodologies. I argue that Plato’s dialectical method is phenomenologically superior to Husserl’s reflective method in the case of phantasmata that function as apparitions. Plato’s method has the capacity to discern the apparition on the basis of criteria that (...) appeal solely to its appearance, whereas Husserl’s method presupposes a non-apparent primitive distinction between the original qua primal impression and the phantasm as its reproductive modification. On the basis of Plato’s methodological superiority in this regard, I sketch a reformulation of the Husserlian approach to appearances guided by the original interrogative context of Plato’s dialectical account of the distinction between true and false appearances, eikones and phantasmata. (shrink)

I present the first systematic account in the literature of a Husserlian response to Natorp’s critique of Husserl’s account of the pre-givenness of both the absolute stream of lived-experience and its essencesEssences to reflectionReflections. My response is presented within the broader context of what I argue is Heidegger’s misappropriation of Natorp’s critique of the phenomenological limits of reflectionReflections in Husserl’s transcendental phenomenologyTranscendental phenomenology and the misguided French attempt to address Heidegger’s critique by introducing the dialectical notion of “pre-reflectivePre-reflective” consciousness to (...) phenomenology. My Husserlian response shows that Husserl’s account of reflectionReflections in Ideas I is able to rebut Natorp’s critical claims that transcendental phenomenologyTranscendental phenomenology cannot access the streaming of the stream of lived-experience without “stilling” its flow and that a gap in Husserl’s account of the transformation of the natural phenomenonPhenomenon of reflectionReflections into transcendental reflectionReflections provides justification for Natorp’s criticism of the ambiguity of Husserl’s account in Ideas I of the givennessGivennesses of the essenceEssences of lived-experience investigated by transcendental phenomenologyTranscendental phenomenology. (shrink)

The paper argues that the ontology of Self behind Descartes’s paradigmatic modern account of passion is an obstacle to interpreting properly the account Socrates gives in the Symposium of the truth of Eros’s origin, nature, and gift to the philosophical initiate into his truth. The key to interpreting this account is located in the relation between Eros and the arithmos-structure of the community of kinds, which is disclosed in terms of the Symposium’s dramatic mimesis of the two Platonic sources of (...) being, the One Itself and the indeterminate dyad. This interpretation’s focus is the vulgar and philosophical dimensions of the phallic pun at the beginning of the dialogue. Both dimensions of the dialogue’s opening joke manifest the appearance of Eros in the dialogue as a distorted imitation of the koinonia of the greatest kinds: Being, Rest, Motion, the Same, and the Other. (shrink)

De acuerdo con la así llamada concepción platonista de la naturalezade las entidades matemáticas, las afirmaciones matemáticas son análogas alas afirmaciones acerca de objetos físicos reales y sus relaciones, con la diferencia decisiva de que las entidades matemáticas no son ni físicas ni espaciotemporalmente individuales, y, por tanto, no son percibidas sensorialmente. El platonismo matemático es, por lo tanto, de la misma índole que el platonismo en general, el cual postula la tesis de un mundo ideal de entidades –eídē– que (...) a la vez están separadas y son el fundamento cognitivo y ontológico del mundo real de cosas físicas que poseen propiedades espacio-temporales. Mientras que la no-identidad entre la concepción platonista de las entidades matemáticas y el platonismo del Platón “histórico” es frecuentemente reconocida tácita o explícitamente tanto por sus defensores como por sus críticos, su conexión con la crítica del Aristóteles “histórico” a la filosofía de Platón frecuentemente no es reconocida. Este artículo llama la atención sobre la conexión de Aristóteles con el así llamado platonismo tradicionalmente concebido y reconstruye un aspecto crucial de su crítica a la tesis originaria del chōrismós platónico que se pierde de vista a menos que se reconozca el objetivo verdadero de su crítica, la descripción platónica igualmente originaria de los números eidéticos.According to the so-called Platonistic conception of the nature of mathematical entities, mathematical statements are analogous to statements about real physical objects and their relations, with the one decisive difference that mathematical entities are neither physical nor individuated spatio-temporally and, thus, not perceived sensuously. Mathematical Platonism is therefore of a piece with Platonism in general, which posits the thesis of an ideal world of entities –eídē– that are both separate from and the cognitive and ontological foundations of the real world of physical things possessing spatio-temporal properties. While the non-identity of the Platonistic conception of mathematical entities with the Platonism of the “historical” Plato is usually either tacitly or explicitly acknowledged by its defenders and critics alike, its connection with the “historical” Aristotle’s critique of Plato’s philosophy usually goes unacknowledged. This paper both calls attention to Aristotle’s connection with the so-called Platonism traditionally conceived and reconstructs a crucial aspect of his critique of the original Platonic chōrismós thesis, an aspect that is missed unless the true target of this critique, the equally original Platonic account of eidetic numbers, is recognized. (shrink)

This paper offers both a phenomenologically psychological and phenomenologically transcendental account of the constitution of the unconscious. Its phenomenologically psychological portion is published here as Part I, while its phenomenologically transcendental portion will be published in the next volume of this journal as Part II. Part I first clarifies the issues involved in Husserl's differentiation of the respective contents and methodologies of psychological and transcendental phenomenology. On the basis of this clarification I show that, in marked contrast to the prevailing (...) approach to the unconscious in the phenomenological literature, an approach that focuses on the emotive and aesthetic factors in the descriptive account of the constitution of an unconscious, there are cognitive factors that have yet to be descriptively accounted for by phenomenological psychology. Part I concludes with a phenomenologically psychological account of the role these cognitive factors play in the constitution of an unconscious. Part II will show how Jung's claims regarding a dimension of unconscious contents that lacks genealogical links to consciousness proper, that is, the "collective unconscious, " can be phenomenologically accounted for if Jung's methodological differentiation of empirical and interpretative approaches to the unconscious is attended to and such attention is guided by the phenomenologically transcendental critique of the emotive and aesthetic limitations of both the Freudian and heretofore Husserlian accounts of the descriptive genesis of something like an unconscious. (shrink)

What is at stake for Jacob Klein in François Vieta’s analytical art is the birth of both the “modern concept of ‘number’ [Zahl], as it underlies symbolic calculi” and the expanded, in contrast to ancient Greek science, scope of the generality of mathematical science itself. Of the former, Klein writes that it “heralds a general conceptual transformation which extends over the whole of modern science”. The latter, he says, lends the “treatment” [πραγματεία] at issue in the ancient Greek mathematical idea (...) of a “‘general treatment’ [καθόλου πραγματεία]” “a completely new sense” “within the system of ‘science.’” The generality of this new sense will concern both the method and object of science in what will come to be known as universal mathematics. This transformation of the basic concept and scope, initially of mathematics and then of “the system of knowledge in general”, “concerns first and foremost the concept of ἀριθμόσ itself”. As a result of “its transfer into a new conceptual dimension” —i.e., into the dimension in which both “the concept of ‘number’ [Zahl]... is itself... as is that which it means” “symbolic in nature”—a transfer that “becomes visible” “for the first time in Vieta’s ‘general analytic,’” there follows “a thoroughgoing modification of the means and aims of science.” Klein maintains that what this modification involves is “best characterized by a phrase... in which Vieta expresses the ultimate problem, the problem proper, of his ‘analytical art’: ‘Analytical art appropriates to itself by right the proud problem of problems, which is: TO LEAVE NO PROBLEM UNSOLVED’.”. (shrink)

Dallas Willard’s contribution to phenomenology is presented in terms of his articles on, and translations into English of, Edmund Husserl’s early philosophical writings, which single-handedly prevented them from falling into oblivion, both literally and philosophically. Willard’s account of Husserl’s “negative critique” of formalized logic in those writings, and argument for its contemporary relevance, is presented and largely endorsed.

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)

The dissertation endeavors to study the controversial relationship of the phenomenologies of Husserl and Heidegger by investigating their respective treatments of intentionality. Husserl's reflective and Heidegger's hermeneutical accounts of intentionality are brought into bold phenomenal relief in order to secure the phenomenal basis underlying their conflicting views of both the character and status of this phenomenon. Specifically, the study discusses Husserl's reflective exhibition of intentionality in terms of its manifestation of the phenomenally original essence of lived-experiences, and Heidegger's immanent critique (...) of the same in terms of its manifestation of phenomenally derivative understanding of Being. ;The discussion shows that Husserl finds the reflective securing of intentionality to manifest the most original phenomenal manifestation of die Sachen selbst, while Heidegger finds the hermeneutical securing of the same to manifest the temporalization of Dasein's being-in-the-world. The issues underlying the discrepancies of these two phenomenological findings are brought into relief with a discussion of the philosophical "prerogatives" of each thinker's understanding of phenomenology. These issues emerge in terms of the Heideggerian 'prerogative' of the hermeneutical advance regard toward Being, and the Husserlian 'prerogative' of the reflective seeing of the phenomenological regard. The study finds that the unavoidable opposition of the phenomenal content of these issues has its basis in the character and status each accords to the essence of the phenomenon of "reflection." The study concludes with a consideration of the phenomenal warrant of what comes forward as die Sachen selbst of the Husserlian 'prerogative' of the ontologically neutral reflective uncovering of the phenomenon of transcendental subjectivity and the Heideggerian 'prerogative' of the hermeneutical disclosure of the ontico-ontological disclosedness of the unreflective phenomenon of Being. (shrink)

La manière dont Jacob Klein rend compte de l’historicité propre aux unités de base de la signification dans la pensée de la Grèce ancienne ainsi que de l’Europe moderne est présentée et étudiée en relation au « sens de l'être » dans la pensée phénoménologique heideggerienne et à la conception husserlienne de la signification ontologique instrumentale du calcul symbolique. Sur le fond des reconstructions kleiniennes des nombres éidétiques dans le Sophiste de Platon et de l’ontologie cartésienne des objets mathématiques indéterminés, (...) deux affirmations se trouvent avancées, à savoir (1) que la composition « artithmologique » de l'être dans le Sophiste de Platon représente un défi par rapport au caractère prétendument fondamental du « sens » dans l’historicité heideggerienne de l’être et (2) que la constitution de la conceptualité propre aux unités de base du calcul symbolique excède celle de la conception husserlienne de leur « simple » instrumentalité. (shrink)

This paper offers both a phenomenologically psychological and a phenomenologically transcendental account of the constitution of the unconscious. Its phenomenologically psychological portion was published in the previous volume of this journal as Part I, while its phenomenologically transcendental portion is published here as Part II. Part I first clarified the issues involved in Husserl's differentiation of the respective contents and methodologies of psychological and transcendental phenomenology. On the basis of this clarification it showed that, in marked contrast to the prevailing (...) approach to the unconscious in the phenomenological literature, an approach that focuses on the emotive and aesthetic factors (rooted in Freud's theory of repression) in the descriptive account of the constitution of an unconscious, there are cognitive factors (rooted in Jung's theory of apperception) that have yet to be descriptively accounted for by phenomenological psychology. Part I concluded with a phenomenologically psychological account of the role these cognitive factors play in the constitution of an unconscious. Part II shows how Jung's claims regarding a dimension of unconscious contents that lacks genealogical links to consciousness proper, i. e., the so-called "collective unconscious," can be phenomenologically accounted for if: (1) Jung's methodological differentiation of empirical and interpretative (hermeneutically phenomenological) approaches to the unconscious is attended to and; (2) such attention is guided by the phenomenologically transcendental critique of the emotive and aesthetic limitations of both the Freudian and heretofore Husserlian accounts of the descriptive genesis of something like an unconscious. (shrink)

Dear Colleague: Your letter shook me so profoundly that I was unable to answer it as soon as I should have. I am continuously concerned with it in my thoughts. Judge for yourself whether I have not inflicted more pain on myself than on you, and whether I may not ethically regard this guilt towards you and blame towards myself as stemming from the best conscience, something I have had to accept, and still must accept, as my fate. Clarifing the (...) matter requires that I lay out a part of my life history. I had quickly realized that the project for Parts II and III of my Ideas was inadequate, and in an effort (beginning in the autumn of l9l2) to improve them and to shape in a more concrete and differentiated fashion the horizon of the problems they disclosed, I got involved in a new, quite far-ranging investigations. (These included the phenomenology of the person and personalities of a higher order, culture, the human environment in general; the transcendental phenomenology of “empathy” and the theory of transcendental intersubjectivity, the “transcendental aesthetic” as the phenomenology of the world purely as the world of experience, time and individuation, the phenomenology of association as the theory of the constitutive achievements of passivity, the phenomenology of the logos, the phenomenological problematic of “metaphysics,” etc.) These investigations stretched on all through the workfilled Freiburg years, and the manuscripts grew to an almost unmanageable extent. As the manuscripts grew so too did the ever greater the apprehension about whether, in my old age, I would be able to bring to completion what had been entrusted to me. This impassioned work led to repeated setbacks and repeated states of depression. In the end what I was left with was an allpervasive basic mood of depression, a dangerous collapse of confidence in myself. It was in this period that Heidegger began to mature -— for a number of.. (shrink)

Burt C. Hopkins - Husserl, Heidegger, and the Space of Meaning: Paths Toward Transcendental Philosophy - Journal of the History of Philosophy 40:2 Journal of the History of Philosophy 40.2 271-273 Book Review Husserl, Heidegger, and the Space of Meaning: Paths Toward Transcendental Philosophy Steven Galt Crowell. Husserl, Heidegger, and the Space of Meaning:Paths Toward Transcendental Philosophy. Evanston, IL: Northwestern University Press, 2001. Pp. xvii + 323. Cloth, $79.95. Paper, $27.95. The "space of meaning" announced in the title of the (...) present collection of essays has both a historical and systematic referent. Historically, it refers to the fact that it is now "possible to recognize that what has distinguished philosophy in the twentieth century is not that it has concerned itself with language, but that, whether through the prism of language or not, it has concerned itself with meaning" . Systematically, it refers to the issues that emerge when the project of transcendental phenomenology is explored in a manner that.. (shrink)

Dallas Willard’s contribution to phenomenology is presented in terms of his articles on, and translations into English of, Edmund Husserl’s early philosophical writings, which single-handedly prevented them from falling into oblivion, both literally and philosophically. Willard’s account of Husserl’s “negative critique” of formalized logic in those writings, and argument for its contemporary relevance, is presented and largely endorsed.

_ Source: _Volume 46, Issue 2, pp 205 - 220 I investigate the phenomenological significance of Husserl’s appeal to the “numerical identity” of _irreality_ as it appears in recollected manifolds of lived-experience in his mature account of the transcendental constitution of transcendence and find it wanting. I show that what is at stake for Husserl in this appeal is the descriptive mark that exhibits the distinction between a unit of meaning as it is constituted in psychologically determined lived-experience and as (...) it is constituted in lived-experience that is determined transcendentally. In other words, I show that numerical identity functions for Husserl as the criterion that signals transcendental psychologism has been overcome. I then present the argument that it has not been overcome in Husserl’s investigations, because the collective unity characteristic of numerical unity is presupposed by those investigations rather than made evidentially manifest and articulated. (shrink)

Jacob Klein’s own account of the change from the ancient to the modern mode of thinking presented in his seminal Greek Mathematical Thought and the Origin of Algebra included the observation that it did not consider the larger perspective of this change. The discussion to follow proposes to view the larger perspective of this transition through the lens provided by the Kantian concept of a “critique” of pure reason. By asking and attempting to answer the question of whether Klein’s account (...) of what he calls the “symbolic abstraction” responsible for the genesis of the modern concept of number can be seen as what Kant characterizes as an “assessment” of pure reason, it is my intent to venture a prolegomenon to a critique of what, following Klein, I want to argue is most properly called “symbolic reason.”. (shrink)