A Course of Philosophy and Mathematics: Toward a General Theory of Reality


Nicolas Laos (Author) – Mathematical Modelling and Noopolitics Consultant, Adjunct Professor of Philosophy, Faculty of Philosophy at the Academia Teológica de San Andrés, Veracruz, Mexico

Series: Mathematics Research Developments

BISAC: PHI000000

Target Audience: Students, Teachers, and Researchers in:

  1. Ontology,
  2. Epistemology,
  3. Logic,
  4. Philosophy of Mathematics
  5. Mathematical Analysis,
  6. Infinitesimal Calculus
  7. Cognitive Science
  8. Ethics
  9. Philosophy of History
  10. History of Philosophy and of Science

As well as other scholars and members of the general public interested in the fundamental questions of philosophy and science. The interdisciplinary program “Mathematics and Philosophy” at Oxford University.

The nature of this book is fourfold: First, it provides comprehensive education in ontology, epistemology, logic, and ethics. From this perspective, it can be treated as a philosophical textbook. Second, it provides comprehensive education in mathematical analysis and analytic geometry, including significant aspects of set theory, topology, mathematical logic, number systems, abstract algebra, linear algebra, and the theory of differential equations. From this perspective, it can be treated as a mathematical textbook. Third, it makes a student and a researcher in philosophy and/or mathematics capable of developing a holistic approach to reality, of undertaking interdisciplinary endeavors, of understanding (and possibly contributing to) advances and research projects in different academic disciplines, and of having more sources of inspiration and pleasure. From this perspective, it can be treated as a contribution to pedagogy and as an attempt to refresh and, indeed, revitalize modern philosophy. Fourth, it seeks to defend, refresh, and enrich philosophical and scientific structuralism and dynamical philosophy (known also as dynamism). From this perspective, this book can be treated as a research monograph on structuralism and dynamism, tackling the fundamental problems of reality, truth, and consciousness. In this context, Nicolas Laos expounds and proposes: (i) the concepts of dynamized time and dynamized space; (ii) a theory and method that he calls the “dialectic of rational dynamicity”; and (iii) his attempt to consider the fundamental problems of philosophy and science from the perspective of the dialectic of rational dynamicity. Thus, this book pertains to every field that is controlled by the function of consciousness, namely, being, knowing, and acting. The philosophy of rational dynamicity, as the author explains in this book, is a way of contemplating the laws of motion of nature, history, and spirit.



Prolegomena by Giuliano di Bernardo


Chapter 1. Philosophy, Science, and the Dialectic of Rational Dynamicity

Chapter 2. Foundations of Mathematical Analysisand Analytic Geometry

Chapter 3. Logic, Epistemology, and the Problem of Truth



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