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The paper discusses Husserl's phenomenology of mathematics in his Formal and Transcendental Logic (1929). In it Husserl seeks to provide descriptive foundations for mathematics. As sciences and mathematics are normative activities Husserl's attempt is also to describe the norms at work in these disciplines. The description shows that mathematics can be given in several different ways. The phenomenologist's task is to examine whether a given part of mathematics is genuine according to the norms that pertain to the approach in question. The paper will then examine the intuitionistic, formalistic, and structural features of Husserl's philosophy of mathematics.

This paper takes a fresh look at a classical theme in philosophical scholarship, the meaning of transcendental idealism, by contrasting Kant's and Husserl's versions of it. I present Kant's transcendental idealism as a theory distinguishing between the world as in-itself and as given to the experiencing human being. This reconstruction provides the backdrop for Husserl's transcendental phenomenology as a brand of transcendental idealism expanding on Kant: through the phenomenological reduction Husserl universalizes Kant's transcendental philosophy to an eidetic science of subjectivity. He thereby furnishes a new sense of transcendental philosophy, rephrases the quid iuris-question, and provides a new conception of the thing-in-itself. What needs to be clarified is not exclusively the possibility of a priori cognition but, to start at a much lower level, the validity of objects that give themselves in experience. The thing-in-itself is not an unknowable object, but the idea of the object in all possible appearances experienced at once. In spite of these changes Husserl remains committed to the basic sense of Kant's Copernican Turn. I end with some comments on how both Kant and Husserl view the relation between theoretical and moral philosophy.

It is commonly believed that Edmund Husserl (1859-1938), well known as the founder of phenomenology and as the teacher of Heidegger, was unable to free himself from the framework of a classical metaphysics of subjectivity. Supposedly, he never abandoned the view that the world and the Other are constituted by a pure transcendental subject, and his thinking in consequence remains Cartesian, idealistic, and solipsistic. The continuing publication of Husserl’s manuscripts has made it necessary to revise such an interpretation. Drawing upon both Husserl’s published works and posthumous material, Husserl’s Phenomenology incorporates the results of the most recent Husserl research. It is divided into three parts, roughly following the chronological development of Husserl’s thought, from his early analyses of logic and intentionality, through his mature transcendental-philosophical analyses of reduction and constitution, to his late analyses of intersubjectivity and lifeworld. It can consequently serve as a concise and updated introduction to his thinking.

The relation of merleau-ponty's work to husserlian phenomenology continues to be a matter of discussion and disagreement. since merleau- ponty considered the doctrine of reduction the ultimate notion in husserl's philosophy, this paper attempts to clarify the relationship of the two thinkers by contrasting their theories of the reduction. such a study indicates that the transcendental sphere achieved by merleau-ponty's reduction is decisively different from that of husserl. hence his philosophy is best understood as the development of a new transcendental philosophy rather than a modification of the original husserlian phenomenology.

In his paper on transcendental intersubjectivity in Husserl, which refers mainly to the Fifth Cartesian Meditation, Schutz (1966a) marks out four stages in Husserl's argument and finds what are for him insurmountable problems in each stage. These stages are: (1) isolation of the primordial world of one's peculiar ownness by means of a further epoche; (2) apperception of the other via pairing; (3) constitution of objective, intersubjective Nature; (4) constitution of higher forms of community. Because of the problems Schutz encounters in each of these stages, he concludes that Husserl's theory is unacceptable (Schutz, 1966a, p.82). Having already proved that it is unacceptable, he now explains why these problems arise in Husserl's theory. Intersubjectivity, says Schutz, is "a datum of the life-world," (1966a, p.82) not a transcendental problem. In other words, intersubjectivity must be dealt with as a problem of the life-world of the natural attitude, not a "problem of constitution which can be solved within the transcendental sphere." (Schutz, 1966a, p.82). There is no such thing as transcendental intersubjectivity, if by that is meant intersubjectivity of a plurality of transcendental egos. The role of transcendental phenomenology in the problem of intersubjectivity is to explicate within the transcendental reduction the sense: "intersubjectivity in the life-world." Husserl was diverted from this proper role of phenomenology--in his words, to "explicate the sense which this world has for us prior to all philosophy" (trans. and quoted by Schutz from "Cartesianische Meditationen, para. 62, in fine," in Schutz, 1966a, p.82)--because of the unobtrusive transformation of sense of his concept of constitution from that of explication and clarification to "creation," in the sense of providing an ontology of the lifeworld. The fact that phenomenology is in principle incapable of doing this lies behind the failure of Husserl's theory of intersubjectivity (Schutz, 1966a, pp.83-84). Unlike Schutz, I will deal with this general issue explicitly in the context of the stages in Husserl's argument and Schutz's objections. It seems to me that Husserl does remain within the sphere of clarification of sense, but to do explication and clarification of certain "senses" results inevitably in doing a kind of ontology.

Mohanty, J.N. Understanding Husserl's transcendental phenomenology.--Fink, E. The problem of the phenomenology of Edmund Husserl. Operative concepts in Husserl's phenomenology.--Funke, G. A transcendental-phenomenological investigation concerning universal idealism, intentional analysis, and the genesis of habitus: archē, phansis, hexis, logos.--Pentzopoulou-Valalas, T. Reflections on the foundation of the relation between the a priori and the eidos in the phenomenology of Husserl.--Landgrebe, L. Regions of being and regional ontologies in Husserl's phenomenology. The problem posed by the transcendental science of the a priori of the life world.--Wahl, J. Notes on the first part of Experience and judgment by Husserl.--Landgrebe, L. A letter from Ludwig Landgrebe to Jean Wahl.-- Wahl, J. A note on some empiricist aspects of the thought of Husserl.--Toulemont, R. The specific character of the social according to Husserl.

Roman Ingarden (1893 -- 1970) was a Polish phenomenologist, ontologist and aesthetician. A student of Edmund Husserl's from the Göttingen period, Ingarden was a realist phenomenologist who spent much of his career working against what he took to be Husserl's turn to transcendental idealism. As preparatory work for narrowing down possible solutions to the realism/idealism problem, Ingarden developed ontological studies unmatched in scope and detail, distinguishing different kinds of dependence and different modes of being. He is best known, however, for his work in aesthetics, particularly on the ontology of the work of art and the status of aesthetic values, and is credited with being the founder of phenomenological aesthetics. His work..

Part 1. Husserl: the outlines of the transcendental-phenomenological system -- 1. Husserl's phenomenological discovery of the natural attitude -- 2. Husserl's theory of the phenomenological reduction: between lifeworld and Cartesianism -- 3. Some methodological problems arising in Husserl's late reflections on the phenomenological reduction -- 4. Facticity and historicity as constituents of the lifeworld in Husserl's late philosophy -- 5. Husserl's concept of the "transcendental person": another look at the Husserl-Heidegger relationship -- 6. Dialectics of the absolute: the systematics of the phenomenological system in Husserl's last period -- Part 2. Husserl, Kant, and neo-Kantianism: from subjectivity to lifeworld as a world of culture -- 7. From being to givenness and back: some remarks on the meaning of transcendental idealism in Kant and Husserl -- 8. Reconstruction and reduction: Natorp and Husserl on method and the question of subjectivity -- 9. A hermeneutic phenomenology of subjective and objective spirit: Husserl, Natorp, and Cassirer -- 10. Cassirer's philosophy of symbolic forms: between reason and relativism: a critical appraisal -- Part 3. Toward a Husserlian hermeneutics -- 11. The subjectivity of effective history and the suppressed husserlian elements in Gadamer's hermeneutics -- 12. Husserl's "hermeneutical phenomenology" as a philosophy of culture.

One of the problems confronting an interpretation of Husserl's late phenomenology is how to reconcile Husserl's increasing interest in the constitutive contribution of intersubjectivity with his introduction of the primordial reduction. How is it possible to characterize transcendental intersubjectivity as the foundation of truth and true being (Hua VIII 449, Hua IX 295, 344), and to claim simultanously that it is necessary to isolate the 'sphere of ownness' (that is, the primordial sphere encompassing everything which can be constituted by the ego itself, without any contribution from another subjectivity (Hua I 124, Hua XVII 248)), so that one can gain a comprehension of the constituted Seinsgeltung of the Other (Hua XV 270-71)? In a sense, the answer is relatively straightforward. Husserl insists that the primordial reduction is undertaken for methodological reasons in order to elucidate the exact founded-founding relationship between subjective and intersubjective constitution. Thus, we are dealing with an attempt at a precise and appropriate introduction of the founded, but constituting transcendental intersubjectivity, and Husserl can consequently maintain that the thorough implementation of the transcendental reduction will ultimately lead us (if not sooner, then later) to a phenomenology of transcendental intersubjectivity (Hua I 69, Hua IX 245-246, Hua VIII 129, 176). The main problem with this answer is, however, that Husserl's strategy seems to remain vulnerable to a number of substantial objections. Let me, for the sake of simplicity, merely mention the two most fundamental ones. The first is general in nature and ultimately concerned with Husserl's theory of constitution. Thus, it might be asked whether Husserl's approach does not willy-nilly lead to a transcendental solipsism, insofar as it is impossible to preserve the equality and transcendence of the Other the moment one starts to regard it as founded and constituted..