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)

This article surveys the state of the literature in English‐language scholarship on Heidegger's early work (1919–29). The survey falls into roughly two halves. The first is devoted to scholarship on Heidegger's intellectual development during the 1920s, focusing on four themes: Heidegger's relationship to Husserl; Heidegger's early phenomenology of religious life; Heidegger's appropriation of Aristotle; and Heidegger's retrieval of Kant's First Critique. The second half focuses on work on the early Heidegger that has arisen out of the reception of his early (...) thought into mainstream Anglophone philosophy. It examines Hubert Dreyfus's interpretation of Heidegger, the status of “das Man” and social normativity, Heidegger's concept of death, Heidegger's conception of authenticity, and truth (with a very brief overview of further topics). (shrink)

Unser Beitrag versucht den Widerhall gewisser Husserlscher Begriffe und Fragestellungen in den frühen Freiburger Vorlesungen Heideggers zu verfolgen. Zu diesem Zweck wird vornehmlich der Begriff Bekundung in Erwägung gezogen, den Husserl im zweiten Buch seiner Ideen anführt, und den Heidegger seinerseits, in seiner Freiburger Vorlesung Grundprobleme der Phänomenologie , prägnant einsetzt. Diesem Begriff wird sowohl in Husserls Lehre zur Konstitution der Materialität und der kausalen Realität, als auch in seinen Untersuchungen zum personalen Selbst nachgegangen, wobei eben die Spannungen zwischen diesen (...) beiden Perspektiven mit Nachdruck betont sind. In weiterer Folge soll gezeigt werden, dass Heideggers Gebrauch desselben Begriffes, im Zusammenhang seiner Freiburger Vorlesung des WS 1919/20, in etlichen Hinsichten als ein Versuch angesehen werden kann, gewisse Bedenken des Husserlschen Ansatzes zu lösen. Damit soll zugleich ein Einblick in die konkrete Arbeitsgemeinschaft des Freiburger phänomenologischen Kreises, in den frühen zwanziger Jahren, gewonnen werden. (shrink)

ZusammenfassungUnser Beitrag versucht den Widerhall gewisser Husserlscher Begriffe und Fragestellungen in den frühen Freiburger Vorlesungen Heideggers zu verfolgen. Zu diesem Zweck wird vornehmlich der Begriff Bekundung in Erwägung gezogen, den Husserl im zweiten Buch seiner Ideen anführt, und den Heidegger seinerseits, in seiner Freiburger Vorlesung Grundprobleme der Phänomenologie, prägnant einsetzt. Diesem Begriff wird sowohl in Husserls Lehre zur Konstitution der Materialität und der kausalen Realität, als auch in seinen Untersuchungen zum personalen Selbst nachgegangen, wobei eben die Spannungen zwischen diesen beiden (...) Perspektiven mit Nachdruck betont sind. In weiterer Folge soll gezeigt werden, dass Heideggers Gebrauch desselben Begriffes, im Zusammenhang seiner Freiburger Vorlesung des WS 1919/20, in etlichen Hinsichten als ein Versuch angesehen werden kann, gewisse Bedenken des Husserlschen Ansatzes zu lösen. Damit soll zugleich ein Einblick in die konkrete Arbeitsgemeinschaft des Freiburger phänomenologischen Kreises, in den frühen zwanziger Jahren, gewonnen werden. (shrink)

The concept of political obligation has not attracted much attention within Heideggerian scholarship. In this paper, we identify and explicate Heidegger’s conception of political obligation embedded in his pre-Kehre works. It will be argued that Heidegger’s magnum opus Being and Time and his address as Rector of Freiburg contain a latent associative account of political obligation. We argue that the ontological framework disclosed in Being and Time and the more concrete policy prescriptions of the Rectoral Address reveal a communitarian ethos (...) which animates the early Heideggerian canon and grounds his account of political obligation. For Heidegger, Dasein must be connected to a particular community’s ontological heritage in order to delimit its ontical possibilities in concrete situations. It will be argued that this relationship between ontological heritage and ontical possibilities is what defines political obligation for Heidegger. (shrink)