Science and irrationalism or the generalized complementarity principle of Bohr

The article formulates and substantiates the philosophical epistemological principle, which generalizes the principle of complementarity of Bohr to all phenomena of reality. The general complementarity principle is formulated as follows: the rational side of reality and its cognition and its associated irrational side of reality and its cognition are complementary to each other. The general principle of complementarity allows one to search for phenomena of duality in various fields, grouping them according to rational and irrational signs

О понятии движения и неизбежности его квантования

The problems that arise when constructing a time-independent definition of mechanical motion are considered. The key role of the concept of infinity in the understanding of mechanical (and other varieties) of motion is noted. It is shown that only naturally occurring quantization of mo-tion leads to the elimination of motion paradoxes (aporia of Zeno, etc.).Рассмотрены проблемы, возникающие при построении времянезависимого определения механического движения. Отмечена ключевая роль понятия бесконечности в понимании механического (других разновидностей) движения. Показано, что только естественно возникающее квантование движения приводит к устранению парадоксов движения (апории Зенона и т.д.)

Why must we work in the phase space?

We are going to prove that the phase-space description is fundamental both in the classical and quantum physics. It is shown that many problems in statistical mechanics, quantum mechanics, quasi-classical theory and in the theory of integrable systems may be well-formulated only in the phase-space language.Comment: 130 page

The Complementarity Of Being

This thesis argues that Western thinking may have unwittingly erred with respect to its application of the principle of noncontradiction. It is in the discovery of the quantum phenomenon, and specifically the measurable discontinuity of quantum behaviour, where this hidden error may have finally been revealed. The thesis arrives at this conclusion through a critical ontological analysis of the quantum phenomenon as it is defined in Neils Bohr’s complementarity interpretation of quantum behaviour. The thesis employs a method of ontological analysis adopted from the German philosopher Nicolai Hartmann. This method includes the identification and suspension of historical dogma and the analysis of ‘actual data’, which includes the phenomena of our experience and the related history of ideas. The analysis suspends our traditional application of noncontradiction to the underlying world in order to determine whether an alternative application of noncontradiction may be possible based on the quantum phenomenon. It is hypothesized from this that the potential contradiction suggested by quantum discontinuity (and the source of the so-called quantum mystery) may be overcome by acknowledging first our own implication in and as part of the same world and present moment. The thesis takes the position, also essentially held by Bohr, that the quantum phenomenon represents the limit of objective knowledge as defined by the Kantian cognitive framework. Unlike Bohr, however, the thesis argues that, by considering our own implication in and as part of the same world and present moment, the limit of the phenomena (and thus objective knowledge) is revealed as complementary, that is to say, both jointly completing and mutually exclusive. The thesis argues that the implications of this are profound and lead ultimately to the need for a reconceptualisation of not just the quantum phenomenon, but also the present moment, reality and our own embodied cognition

Contemporary Natural Philosophy and Philosophies - Part 1

This book is a printed edition of the Special Issue titled "Contemporary Natural Philosophy and Philosophies" - Part 1 that was published in the journal Philosophies

Surprise. Aesthetics and Sensibilities of Rhetorics

This dissertation investigates relationships scholars have with information and art associated with aesthetic and theoretical disruptions. Its governing metaphor is the surprise affect, figured as a rhetorical and aesthetic event. My purposes are to evaluate institutional and scholastic responses to both desirable and disastrous information-aesthetic liminalities, trial performative engagements with surprises, and propose viable ways of engaging innovation for writing instruction. It is argued that aesthetic (i.e., relational in the sense that it is not immediate), performative, and temporal engagements with surprising objects of study are relatively viable options when considered alongside the critical manuscript. While the aesthetic has sometimes occupied a minor and inferior position relative to codified and metricized intelligences, such relegation rests on false and pernicious but well known and persistent dichotomies including intelligibility v. sensibility, knowing v. feeling, thinking v. experiencing, and aesthetic v. epistemic. The intelligibility presupposed by the critical model, however, cannot achieve immediate engagement with its ostensible object ; it therefore remains relational and aesthetic. Few would counter the claim, yet actual performances of relation are rare. To test its payoff, the dissertation performs two engagements with challenging objects associated with surprise: novelty or the new as such, and the currency of idiosyncrasy in the timbre of recent electronic music. While not incidental, novelty and timbre are examples in the project\u27s larger attempt to rethink not just any given surprise, but ways of treating and dealing with the inevitability of metaphysical shock and overhaul

The Significance of Evidence-based Reasoning for Mathematics, Mathematics Education, Philosophy and the Natural Sciences

In this multi-disciplinary investigation we show how an evidence-based perspective of quantification---in terms of algorithmic verifiability and algorithmic computability---admits evidence-based definitions of well-definedness and effective computability, which yield two unarguably constructive interpretations of the first-order Peano Arithmetic PA---over the structure N of the natural numbers---that are complementary, not contradictory. The first yields the weak, standard, interpretation of PA over N, which is well-defined with respect to assignments of algorithmically verifiable Tarskian truth values to the formulas of PA under the interpretation. The second yields a strong, finitary, interpretation of PA over N, which is well-defined with respect to assignments of algorithmically computable Tarskian truth values to the formulas of PA under the interpretation. We situate our investigation within a broad analysis of quantification vis a vis: * Hilbert's epsilon-calculus * Goedel's omega-consistency * The Law of the Excluded Middle * Hilbert's omega-Rule * An Algorithmic omega-Rule * Gentzen's Rule of Infinite Induction * Rosser's Rule C * Markov's Principle * The Church-Turing Thesis * Aristotle's particularisation * Wittgenstein's perspective of constructive mathematics * An evidence-based perspective of quantification. By showing how these are formally inter-related, we highlight the fragility of both the persisting, theistic, classical/Platonic interpretation of quantification grounded in Hilbert's epsilon-calculus; and the persisting, atheistic, constructive/Intuitionistic interpretation of quantification rooted in Brouwer's belief that the Law of the Excluded Middle is non-finitary. We then consider some consequences for mathematics, mathematics education, philosophy, and the natural sciences, of an agnostic, evidence-based, finitary interpretation of quantification that challenges classical paradigms in all these disciplines

Contemporary Materialism: Its Ontology and Epistemology

Materialism has been the subject of extensive and rich controversies since Robert Boyle introduced the term for the first time in the 17th century. But what is materialism and what can it offer today? The term is usually defined as the worldview according to which everything real is material. Nevertheless, there is no philosophical consensus about whether the meaning of matter can be enlarged beyond the physical. As a consequence, materialism is often defined in stark exclusive and reductionist terms: whatever exists is either physical or ontologically reducible to it. This conception, if consistent, mutilates reality, excluding the ontological significance of political, economic, sociocultural, anthropological and psychological realities. Starting from a new history of materialism, the present book focuses on the central ontological and epistemological debates aroused by today’s leading materialist approaches, including some little known to an anglophone readership. The key concepts of matter, system, emergence, space and time, life, mind, and software are checked over and updated. Controversial issues such as the nature of mathematics and the place of reductionism are also discussed from different materialist approaches. As a result, materialism emerges as a powerful, indispensable scientifically-supported worldview with a surprising wealth of nuances and possibilities