Andrii Karpenko

The purpose of the study is to determine the key strategies of philosophical criticism of Heidegger’s Black Notebooks, whose achievement is realized in the following tasks: 1) to identify the body of texts that represent the discourse of philosophical criticism of Heidegger notes; 2) to reveal the typological features of the different strategies of interpreting Black Notebooks; 3) to reconstruct a thematic horizon of Heidegger studies, opened up by discussion on published notes. The methodology combines elements of discourse analysis with traditional methods of historical and philosophical criticism. Scientific novelty is expressed in the following: 1) philosophical discourse of the Notebooks’ reception includes texts of narrowly specialized character, as well as reflections of key philosophers 2) basic strategies in philosophical critique of Black Notebooks convey the overall structure of the discourse of interpretation of Heidegger’s legacy, distributed between apologetics and ideological criticism; 3) Black Notebooks have exacerbated the problem of architectonics of Gesammtausgabe and formed the textual basis for the study of "silence" period in philosophical life of Heidegger. Conclusions. The discourse of philosophical critique of Heidegger’s notes proves evidence for ideological charge of philosophizing and justifies socially oriented approaches of historical and philosophical studies examining philosophizing as a special cultural practice, not as a form of sublime creativity.

Research into the history of understanding Heidegger's ideas allows to reveal how different thinkers were likely to grasp the specific subjective positions that defined the meaning of philosophizing as a cultural practice posited by modern era of intellectual history. The figure of Heidegger is crucial because it shed light on the more general context of the evolution of philosophizing within the system of scientific knowledge. A clear contrast between scientific rationalism and philosophical thinking, inherent for Heidegger's philosophy, is now hardly perceived within general coordinates of scientific philosophy of the last century, combining directions of phenomenology, Neo-Kantian tradition and positivism. Understanding the nature of synthesis of phenomenological method with the principles of the philosophy of life that formed the core of Heidegger's thought was the point of reference of such thinkers like Edmund Husserl and Ernst Cassirer. The problem of how to reconstruct the contours of delineation between the aforementioned philosophical trends remains relevant today and, as the latter define the contours of contemporary philosophy so that the barriers between different traditions of philosophy only intensified. Heidegger's desire to find premises of philosophizing, deeper than principles for a positivist and phenomenological science, would find support from Neo-Kantian thinkers, who also stood for autonomy of philosophy. But radical ontologism of Heidegger refused any possibility of dialogue. Husserl and Cassirer made critical remarks on ontologization as the leading motive of Heidegger's thought, which gave starting intention to further reception of Heidegger's work. It is ontology of time that has a threat of all consuming relativism and opportunism, since it deprives ethics from opportunities that would not fit the immanent structure of Dasein. Ontology of language fell prey to similar criticism, as Heidegger suggested lingual turn of existential analytics of Dasein. Cassirer in his own philosophy of symbolic forms forsaw the opportunity of linguistic totalization of being and developed his theory of generic symbolic forms.

The purpose of the study is to determine the key strategies of philosophical criticism of Heidegger’s Black Notebooks, whose achievement is realized in the following tasks: 1) to identify the body of texts that represent the discourse of philosophical criticism of Heidegger notes; 2) to reveal the typological features of the different strategies of interpreting Black Notebooks; 3) to reconstruct a thematic horizon of Heidegger studies, opened up by discussion on published notes. The methodology combines elements of discourse analysis with traditional methods of historical and philosophical criticism. Scientific novelty is expressed in the following: 1) philosophical discourse of the Notebooks’ reception includes texts of narrowly specialized character, as well as reflections of key philosophers 2) basic strategies in philosophical critique of Black Notebooks convey the overall structure of the discourse of interpretation of Heidegger’s legacy, distributed between apologetics and ideological criticism; 3) Black Notebooks have exacerbated the problem of architectonics of Gesammtausgabe and formed the textual basis for the study of "silence" period in philosophical life of Heidegger. Conclusions. The discourse of philosophical critique of Heidegger’s notes proves evidence for ideological charge of philosophizing and justifies socially oriented approaches of historical and philosophical studies examining philosophizing as a special cultural practice, not as a form of sublime creativity.

Is there any link between the doctrine of logical fatalism and prime numbers? What do logic and prime numbers have in common? The book adopts truth-functional approach to examine functional properties of finite-valued Łukasiewicz logics Łn+1. Prime numbers are defined in algebraic-logical terms and represented as rooted trees. The author designs an algorithm which for every prime number n constructs a rooted tree where nodes are natural numbers and n is a root. Finite-valued logics Kn+1 are specified that they have tautologies if and only if n is a prime number. It is discovered that Kn+1 have the same functional properties as Łn+1 whenever n is a prime number. Thus, Kn+1 are 'logics' of prime numbers. Amazingly, combination of logics of prime numbers led to uncovering a law of generation of classes of prime numbers. Along with characterization of prime numbers author also gives characterization, in terms of Łukasiewicz logical matrices, of powers of primes, odd numbers, and even numbers.