The Dynamic Concepts of Philosophical Mathematics


Book Description

In The Dynamic Concept of Philosophical Mathematics, author Anthony Ugochukwu O. Aliche delves deeply into a comprehensive discussion into the intertwined relationship between philosophy and mathematics. Aliche begins by defining philosophical mathematics and traces its origins and its branches. He then relates the concept to the worlds of science, engineering, technology, creative and applied arts, and human existence. In this systemic, practical and research-driven work, Aliche presents innovative interpretations of mathematical and philosophical issues and reexamines their relevance and applicability to modern developments. He also proposes abolishing most ancient and primordial mathematical policies and formulas, as they are not helping the world of science and technology to grow. Presenting principles, practices, and theories, The Dynamic Concept of Philosophical Mathematics demystifies the oracle of mathematics and communicates that knowledge is power and must therefore be progressive. He equally insisted that the progressive nature of knowledge which must be God-driven fundamentally fulcrumed the demystification of QED which he replaced with the Infinitude Method which scientifically agrees with the progressive dynamism of knowledge. A product of seasoned scholarship, natural wisdom, empirical research, and inspired originality. It is perhaps one of the most sophisticated intellectual inputs to the world of knowledge




Philosophy of Mathematics


Book Description

A sophisticated, original introduction to the philosophy of mathematics from one of its leading thinkers Mathematics is a model of precision and objectivity, but it appears distinct from the empirical sciences because it seems to deliver nonexperiential knowledge of a nonphysical reality of numbers, sets, and functions. How can these two aspects of mathematics be reconciled? This concise book provides a systematic, accessible introduction to the field that is trying to answer that question: the philosophy of mathematics. Øystein Linnebo, one of the world's leading scholars on the subject, introduces all of the classical approaches to the field as well as more specialized issues, including mathematical intuition, potential infinity, and the search for new mathematical axioms. Sophisticated but clear and approachable, this is an essential book for all students and teachers of philosophy and of mathematics.







Foundations of Economic Development


Book Description

DYNAMIC ECONOMICS with increasing returns is extended to cope with economic growth, the business cycles and the irregular swings in the long-term development as different aspects of the same dynamical system, the economic system "as a whole". HUMAN CAPITAL emerges as the seminal concept: economic growth is in this dynamics causally reduced to the growth of human capital and thus to the growth of exact scientific knowledge. An analysis of this knowledge shows that quality education in hard sciences must be a prime target of future economic policies. A CAUSAL STRUCTURE, new in economics, underlies the extended dynamics. To enable students to study and to improve it, a detailled introduction to nonlinear causality is given, emphasizing the points relevant to this causal structure. NATIONAL ACCOUNTING and input-output dynamics are suggested to be extended to include also the production prices and production of human capital and of human time, by using a method of calculation indicated in detail in the book.




The Natural Dynamic of Imaginative and Creative Technology


Book Description

There is an age-old controversy regarding the major source of human knowledgewhether it arises from experience or from reason. The Natural Dynamics of Imaginative and Creative Technology presents a revolutionary reconciliation on this topic. As an arbitrator in the philosophical battle of mind-body dualism as championed by Aristotle and his contemporaries, this study offers a balanced approach. It stands out as a peculiar and distinct library in the dynamism of knowledge, with particular reference to the domain technological prowess. Author Anthony Aliche writes with passion as he seeks to represent a stipulative monolith in the ethical pattern of the present and upcoming generations for a clear achievement of the millennial development goals. Humanity has launched itself into a detrimental quagmire, allowing appetitive elements to gain the upper hand and oversee the affairs of the rational elements. To combat that challenge, Aliche offers a blueprint that, when used in its conclusive mission, will uplift humanity beyond the bounds of sense experience and materialism and into the domain of true knowledge and realities.










The Religion and Philosophy of the Veda and Upanishads


Book Description

message from the Dalai Lama. The book provides: new ideas and ways of




Diagrammatic Immanence


Book Description

A renewal of immanent metaphysics through diagrammatic methods and the tools of category theorySpinoza, Peirce and Deleuze are, in different ways, philosophers of immanence. Rocco Gangle addresses the methodological questions raised by a commitment to immanence in terms of how diagrams may be used both as tools and as objects of philosophical investigation. He integrates insights from Spinozist metaphysics, Peircean semiotics and Deleuzes philosophy of difference in conjunction with the formal operations of category theory. Category theory reveals deep structural connections among logic, topology and a variety of different areas of mathematics, and it provides constructive and rigorous concepts for investigating how diagrams work. Gangle introduces the methods of category theory from a philosophical and diagrammatic perspective, allowing philosophers with little or no mathematical training to come to grips with this important field. This coordination of immanent metaphysics, diagrammatic method and category theoretical mathematics opens a new horizon for contemporary thought.




What Is Mathematics, Really?


Book Description

Most philosophers of mathematics treat it as isolated, timeless, ahistorical, inhuman. Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, and intelligible only in a social context. Hersh pulls the screen back to reveal mathematics as seen by professionals, debunking many mathematical myths, and demonstrating how the "humanist" idea of the nature of mathematics more closely resembles how mathematicians actually work. At the heart of his book is a fascinating historical account of the mainstream of philosophy--ranging from Pythagoras, Descartes, and Spinoza, to Bertrand Russell, David Hilbert, and Rudolph Carnap--followed by the mavericks who saw mathematics as a human artifact, including Aristotle, Locke, Hume, Mill, and Lakatos. What is Mathematics, Really? reflects an insider's view of mathematical life, and will be hotly debated by anyone with an interest in mathematics or the philosophy of science.