Heidegger’s reading of Plato is variable and multifaceted, giving way to different and, at times, opposing interpretations of Plato’s work. To give an example that is relevant to the following pape...

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)

From its Presocratic beginnings, Western philosophy concerned itself with a quest for unity both in terms of the systematization of knowledge and as a metaphysical search for a unity of being—two trends that can be regarded as converging and culminating in Hegel’s system of absolute idealism. Since Hegel, however, the philosophical quest for unity has become increasingly problematic. Jussi Backman returns to that question in this book, examining the place of the unity of being in the work of Heidegger. Backman (...) sketches a consistent picture of Heidegger as a thinker of unity who throughout his career in different ways attempted to come to terms with both Parmenides’s and Aristotle’s fundamental questions concerning the singularity or multiplicity of being—attempting to do so, however, in a “postmetaphysical” manner rooted in rather than above and beyond particular, situated beings. Through his analysis, Backman offers a new way of understanding the basic continuity of Heidegger’s philosophical project and the interconnectedness of such key Heideggerian concepts as ecstatic temporality, the ontological difference, the turn (Kehre), the event (Ereignis), the fourfold (Geviert), and the analysis of modern technology. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Humanism as Philosophia (Perennis):Grassi's Platonic Rhetoric between Gadamer and KristellerRocco RubiniToday's situation is such that in our desacralized and demythologized world we believe in no annunciations, in no purely directive statements, in no evangelist, be it a God or a prophet. We turn to rational thought, to proofs and reasons in order to free ourselves from the subjectivity and relativity of appearances.... Thus not only is every access to (...) religious sacred texts closed to us but so also is the possibility of a metaphysics, a science that tells us about the "essence of man" (Humanism).—Ernesto Grassi, Rhetoric as PhilosophyDonald P. Verene commemorated Ernesto Grassi by recognizing that his work allows for a fresh approach to Vico, Heidegger, Renaissance, and rhetorical studies (1996, 295–303). While Grassi's authority on Vico remains undisputed, examination of his relevance to other fields of study is still wanting. As for Martin Heidegger, his students have been too numerous and successful for Grassi to easily claim pride of place among them. In turn, as Verene notes, American Renaissance scholarship has failed to realize that Grassi's work represents a direct alternative to that of Paul Oskar Kristeller, another student of Heidegger. Kristeller's influential characterization of Renaissance [End Page 242] humanism as a rhetorical and thus, in his view, nonphilosophical tradition often causes Grassi to be simply dismissed.1 Finally, his reception in rhetorical studies remains problematic and limited in its own right.In his Foreword to the reprint of Grassi's Rhetoric as Philosophy (1980), Timothy W. Crusius clearly expresses the confused deference that has caused rhetoricians to steer clear of the "anomaly" Grassi represents. Crusius laments that scholars have not attempted to bring Grassi into conversation with partisans of rhetoric like Hans-Georg Gadamer and that very little attention has been paid to works such as The Primordial Metaphor (1994) or to the overall religious dimension of his thought. Crusius attributes this general neglect to the American rhetoricians' unfamiliarity with the Latin-humanist rhetorical tradition: Grassi, in direct opposition to Heidegger, would have fashioned his philosophy from Roman rather than Greek sources (2001, xiii–xviii).This essay closely narrates2 how Grassi's notions of metaphysics and "rhetoric" developed in his early writings in order to dispel some of the misconceptions that have prevented readers from entering what Grassi himself defines as the "originary tension" awakening his own and, indeed, any philosopher's concerns, interests, and pathos (1994, 5–6). For if Grassi often lamented Heidegger's philhellenism—an aversion to romanitas at which he and other "Latin" students such as José Ortega y Gasset took personal offense (1988, 347)—we shall see that his philosophy was originally grounded on a nontraditional reading of Greek sources. Indeed, a reader would be at pains to recover a sustained reading of Cicero or Quintilian in his entire corpus, while between 1932 and 1946 Grassi published three volumes dedicated to an original interpretation of Plato.3Whereas the following account might make Grassi's notion of "rhetoric as philosophy" even more idiosyncratic—originally founded neither on a recovery of Roman eloquence nor, as we shall see, on a rehabilitation of the Sophists—his early Platonism makes him conversant with Gadamer and provides insight into his religiosity. Grassi's distinctive Platonism also spurs consideration of his missed confrontation with Kristeller and of the mutual disregard between American Renaissance scholars and rhetoricians in the latter part of the twentieth century. The following pages place the reader in a position to appreciate the relevance of Grassi's work to current scholarship.Heidegger's Anti-Platonism and Recent Plato StudiesThe belated and ongoing publication of Heidegger's lectures prior to Being and Time (1927) has led us closer to the experience of his students and offered [End Page 243] clear insight into his preference for Aristotle over Plato. The WS 1924–25 lecture course on the Sophist—one of Heidegger's most sustained confrontations with Plato before his Plato's Doctrine of Truth (1942)—begins with the assertion "What Aristotle said is what Plato placed at his disposal, only it is said more radically and developed more scientifically" (1997, 8). By developing... (shrink)