Husserl: Eidetic Reduction and Variation

The paper is the final, fifth part of a series of studies introducing the new conceptions of “Hilbert mathematics” and “ontomathematics”. The specific subject of the present investigation is the proper philosophical sense of both, including philosophy of mathematics and philosophy of physics not less than the traditional “first philosophy” (as far as ontomathematics is a conservative generalization of ontology as well as of Heidegger’s “fundamental ontology” though in a sense) and history of philosophy (deepening Heidegger’s destruction of it from (...) the pre-Socratics to the Pythagoreans). Husserl’s phenomenology and Heidegger’s derivative “fundamental ontology” as well as his later doctrine after the “turn” are the starting point of the research as established and well known approaches relative to the newly introduced conception of ontomathematics, even more so that Husserl himself started criticizing his “Philosophy of arithmetic” as too naturalistic and psychological turning to “Logical investigations” and the foundations of phenomenology. Heidegger’s “Aletheia” is also interpreted ontomathematically: as a relation of locality and nonlocality, respectively as a motion from nonlocality to locality if both are physically considered. Aristotle’s ontological revision of Plato’s doctrine is “destructed” further from the pre-Socratics' “Logos” or Heideger’s “Language” (after the “turn”) to the Pythagoreans “Numbers” or “Arithmetics” as an inherent and fundamental philosophical doctrine. Then, a leap to contemporary physics elucidates the essence of ontomathematics overcoming the Cartesian abyss inherited from Plato’s opposition of “ideas” versus “things”, and now unifying physics and mathematics, particularly allowing for the “creation from nothing” instead of the quasi-scientific myth of the “Big Bang”. Furthermore, ontomathematics needs another interpretation of arithmetic, propositional logic and set theory in the foundations of mathematics, where the latter two ones are both identified with Boolean algebra, and the former is considered to be a “half of Boolean algebra” in the exact meaning to be equated to it after doubling by a dual anti-isometric counterpart of Peano arithmetic. That unified algebraic realization of the foundations of mathematics is related to Hilbert mathematics in both “narrow and wide senses” where the latter is isomorphic to the qubit Hilbert space, thus underlying all the physical world by the newly introduced substance of quantum information being physically dimensionless and generalizing classical information measured in bits. The substance of information, whether classical or quantum, visualizes the way of the unification of physics and mathematics by merging their foundations in Hilbert arithmetic and Hilbert mathematics: thus how ontomathetics is a “first philosophy”. The relation of ontomathematics to the Socratic “human problematics”, furthermore being fundamental for Western philosophy in Modernity, is discussed. Ontomathematics implies its “substitution” by abstract information (or by “subjectless choice” relevant to it), thus “obliterating the human outline on the ocean beach sand” (by Michel Foucault’s metaphor). A reflection back from the viewpoint of mathematic to Western philosophy as the philosophy of locality ends the study. (shrink)

In this paper, I draw the fundamental structures of the phenomenology of the person, on the basis of a precise theoretical assumption: to introduce to phenomenology of the person is to introduce to the eidetic phenomenology. So, my paper explores the fundamental questions of the Husserlian phenomenology, and traces a path towards the contemporary questions of the phenomenology of the person: what is a person in the era of social networks and liquid society?

Vaidya has recently argued that while Husserl’s method for acquiring knowledge of essence through use of our imagination is subject to a vicious epistemic circle, we can still use the method to successfully attain objectual understanding of essence. In this paper, I argue that the Husserlian objectual understanding-based epistemology envisaged by Vaidya suffers from a similar epistemic circularity as its knowledge-based foil. I argue that there is a straight-forward solution to this problem, but then raise three serious problems for an (...) amended version of Vaidya’s proposal and any similar Husserlian epistemology of essence. The paper closes with some general reflections on applying the Husserlian method to the contemporary notion of essence and on the idea of refocusing the epistemology of essence on understanding instead of knowledge. (shrink)

In my talk I would like to discuss a topic concerning the idea of the mental experience as an experiment in the transcendental philosophy. One can see a big difference between two branches of knowledge: humanitarian sciences and „exact“ sciences. The main difference consists in the fact that the experimental dates of the exact sciences can be verified by other researchers, but the mental dates in the mind of one humanitarian researcher cannot be repeated in the mind of another. It (...) allows for the skeptics to say that the humanitarian sciences cannot be a real science. The modern German philosopher Lambert Wiesing asserts that in the field of transcendental philosophy we have something like an experience in the usual sciences. It is called the „eidetic variation“ (eidetische Variation). Three principles of the method are of great value. They are: self-reflection, phantasy, and self-clarification. In my report I am going to, firstly, clarify the principles of „eidetic variation“ in Husserl’s phenomenology, and secondly relate this to the methods found in German transcendental Idealism. I see three interpretations of the term „eidetic variation“: as a synonym of the transcendental reduction, as achieving an eidos of the thing and the transcendental ego itself, and as something that can be held in a phantasy. The same method is used in German idealism (by Fichte for example). The main outcome of my talk should be, that if we accept an „eidetic variation“ as a transcendental method, we can explain, or at least have the chance, how to build the abstract category and understand such abstract items like beauty and general philosophical notions. (shrink)