The Dynamic Concepts of Philosophical Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Dynamic Concepts of Philosophical Mathematics write by Anthony Ugochukwu O. Aliche. This book was released on 2013-01-08. The Dynamic Concepts of Philosophical Mathematics available in PDF, EPUB and Kindle. 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
Philosophy of Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Philosophy of Mathematics write by Stewart Shapiro. This book was released on 1997-08-07. Philosophy of Mathematics available in PDF, EPUB and Kindle. Do numbers, sets, and so forth, exist? What do mathematical statements mean? Are they literally true or false, or do they lack truth values altogether? Addressing questions that have attracted lively debate in recent years, Stewart Shapiro contends that standard realist and antirealist accounts of mathematics are both problematic. As Benacerraf first noted, we are confronted with the following powerful dilemma. The desired continuity between mathematical and, say, scientific language suggests realism, but realism in this context suggests seemingly intractable epistemic problems. As a way out of this dilemma, Shapiro articulates a structuralist approach. On this view, the subject matter of arithmetic, for example, is not a fixed domain of numbers independent of each other, but rather is the natural number structure, the pattern common to any system of objects that has an initial object and successor relation satisfying the induction principle. Using this framework, realism in mathematics can be preserved without troublesome epistemic consequences. Shapiro concludes by showing how a structuralist approach can be applied to wider philosophical questions such as the nature of an "object" and the Quinean nature of ontological commitment. Clear, compelling, and tautly argued, Shapiro's work, noteworthy both in its attempt to develop a full-length structuralist approach to mathematics and to trace its emergence in the history of mathematics, will be of deep interest to both philosophers and mathematicians.
Synthetic Philosophy of Contemporary Mathematics
Synthetic Philosophy of Contemporary Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Synthetic Philosophy of Contemporary Mathematics write by Fernando Zalamea. This book was released on 2012-09-01. Synthetic Philosophy of Contemporary Mathematics available in PDF, EPUB and Kindle. A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest. A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest, this book gives the inquisitive non-specialist an insight into the conceptual transformations and intellectual orientations of modern and contemporary mathematics. The predominant analytic approach, with its focus on the formal, the elementary and the foundational, has effectively divorced philosophy from the real practice of mathematics and the profound conceptual shifts in the discipline over the last century. The first part discusses the specificity of modern (1830–1950) and contemporary (1950 to the present) mathematics, and reviews the failure of mainstream philosophy of mathematics to address this specificity. Building on the work of the few exceptional thinkers to have engaged with the “real mathematics” of their era (including Lautman, Deleuze, Badiou, de Lorenzo and Châtelet), Zalamea challenges philosophy's self-imposed ignorance of the “making of mathematics.” In the second part, thirteen detailed case studies examine the greatest creators in the field, mapping the central advances accomplished in mathematics over the last half-century, exploring in vivid detail the characteristic creative gestures of modern master Grothendieck and contemporary creators including Lawvere, Shelah, Connes, and Freyd. Drawing on these concrete examples, and oriented by a unique philosophical constellation (Peirce, Lautman, Merleau-Ponty), in the third part Zalamea sets out the program for a sophisticated new epistemology, one that will avail itself of the powerful conceptual instruments forged by the mathematical mind, but which have until now remained largely neglected by philosophers.
History of the Congress. Scientific plan of the Congress. Philosophy and mathematics
History of the Congress. Scientific plan of the Congress. Philosophy and mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook History of the Congress. Scientific plan of the Congress. Philosophy and mathematics write by Howard Jason Rogers. This book was released on 1905. History of the Congress. Scientific plan of the Congress. Philosophy and mathematics available in PDF, EPUB and Kindle.
Philosophy of Mathematics
Philosophy of Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Philosophy of Mathematics write by Øystein Linnebo. This book was released on 2020-03-24. Philosophy of Mathematics available in PDF, EPUB and Kindle. 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.
