Husserl claimed that all theoretical scientific concepts originate in and are valid in reference to 'life-world' experience and that scientific traditions preserve the sense and validity of such concepts through unitary and cumulative change. Each of these claims will, in turn, be sympathetically laid out and assessed in comparison with more standard characterizations of scientific method and conceptual change as well as the history of physics, concerning particularly the challenge they may pose for scientific realism. The Husserlian phenomenological framework is (...) accepted here without defense, and hence the present project is limited to the task of asking what can and cannot be accommodated within that framework on its own terms. (shrink)

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)

Can phenomenologists allow for the existence of unobservable entities such as atoms, electrons, and quarks? Can we justifiably believe in the existence of entities that are in principle unobservable? This paper addresses the relationship between Husserlian transcendental phenomenology and scientific realism. More precisely, the focus is on the question of whether there are basic epistemological principles phenomenologists are committed to that have anti-realist consequences with respect to unobservable entities. This question is relevant since Husserl’s basic epistemological principles, such as the (...) “principle of all principles,” seem to suggest that epistemic justification is limited to what can be originally given in the sense that if an object cannot be given in an originary presentive intuition, then one cannot be justified in believing that this object exists. It is the main aim of this paper to show (i) that interpretative reasons exist for not reading Husserl in such a way and (ii) that systematic reasons exist as to why phenomenologists should not subscribe to this criterion. I shall put forward a different criterion of justification that satisfies the spirit of Husserlian transcendental phenomenology and allows for justifiably believing in the existence of unobservable scientific entities. (shrink)

In this paper, I discuss and compare the possibility of thinking that which is most worth our thought in Deleuze’s What Is Philosophy? and Heidegger’s course lectures in What Is Called Thinking?. Both authors criticize the history of philosophy in similar ways in order to reconsider what should be taken as the nature and task of philosophical thinking. For Deleuze, true thinking is the creation of concepts, but what is most worth our thought in fact cannot be thought. For Heidegger, (...) Being calls on us think, and to think rightly is to be underway toward thinking itself, a grateful heeding of Being. In this paper I explore the very possibility to think that which is most worth our thought. I will argue that although for both authors proper thinking as such is possible, thinking what is most worth our thought seems remarkably both possible as impossible. (shrink)

In the debate between the natural science and the phenomenological or hermeneutical approaches in the human sciences, a third alternative described by Husserl has been widely ignored. Contrary to frequent assumptions, Husserl believed that a purely phenomenological method is not generally the appropriate approach for the empirical human sciences. Rather, he held that although they can and should make important use of phenomenological analysis, such sciences should take their basic stance in the "natural attitude," the ordinary commonsense lifeworld mode of (...) understanding which cuts across the divergent abstractive specializations of natural science and phenomenology Human science in the natural attitude, shorn of its naivete by phenomenological insight, would be the field of descriptive concrete sociocultural sciences capable of taking a truly explanatory approach to their subject matter, persons and personal formations. In practice, both Weber and Freud exemplify the method recommended by Husserl. (shrink)