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From Combinatorics To Philosophy

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From Combinatorics To Philosophy

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Author : Ernesto Damiani
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-07-24

From Combinatorics To Philosophy written by Ernesto Damiani and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-24 with Computers categories.

From Combinatorics to Philosophy: The Legacy of G. -C. Rota provides an assessment of G. -C. Rota's legacy to current international research issues in mathematics, philosophy and computer science. This volume includes chapters by leading researchers, as well as a number of invited research papers. Rota’s legacy connects European and Italian research communities to the USA by providing inspiration to several generations of researchers in combinatorics, philosophy and computer science. From Combinatorics to Philosophy: The Legacy of G. -C. Rota is of valuable interest to research institutions and university libraries worldwide. This book is also designed for advanced-level students in mathematics, computer science, and philosophy.

From Combinatorics To Philosophy

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Author : Ernesto Damiani
language : en
Publisher: Springer
Release Date : 2010-11-03

From Combinatorics To Philosophy written by Ernesto Damiani and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-03 with Computers categories.

The Star And The Whole

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Author : Fabrizio Palombi
language : en
Publisher: CRC Press
Release Date : 2011-08-24

The Star And The Whole written by Fabrizio Palombi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-24 with Mathematics categories.

The Star and the Whole: Gian-Carlo Rota on Mathematics and Phenomenology, authored by Fabrizio Palombi, is the first book to study Rota’s philosophical reflection. Rota (1932–1999) was a leading figure in contemporary mathematics and an outstanding philosopher, inspired by phenomenology, who made fundamental contributions to combinatorial analysis, and trained several generations of mathematicians in his long career at the Massachusetts Institute of Technology (MIT) and the Los Alamos National Laboratory. The first chapter of the book reconstructs Rota’s cultural biography and examines his philosophical style, his criticisms of analytical philosophy, and his reflection on Heidegger’s thought. The second chapter presents a general picture of Rota’s re-elaboration of phenomenology examined in the light of the Husserlian notion of Fundierung. This chapter also illustrates how the star-shape becomes a powerful instrument for understanding the properties of Husserl’s mereology and the critique of objectivism. The third chapter is a theoretical reflection on the nature of mathematical entities, and the fourth examines the complex relation of mathematical research with technological applicability and scientific progress. The foreword of the text is written by Robert Sokolowski.

Mathematical Combinatorics My Philosophy Promoted On Science Internationally

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Author : Linfan Mao
language : en
Publisher: Infinite Study
Release Date : 2024-01-01

Mathematical Combinatorics My Philosophy Promoted On Science Internationally written by Linfan Mao and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-01 with Mathematics categories.

Mathematical science is the human recognition on the evolution laws of things that we can understand with the principle of logical consistency by mathematics, i.e., mathematical reality. So, is the mathematical reality equal to the reality of thing? The answer is not because there always exists contradiction between things in the eyes of human, which is only a local or conditional conclusion. Such a situation enables us to extend the mathematics further by combinatorics for the reality of thing from the local reality and then, to get a combinatorial reality of thing. This is the combinatorial conjecture for mathematical science, i.e., CC conjecture that I put forward in my postdoctoral report for Chinese Acade- my of Sciences in 2005, namely any mathematical science can be reconstructed from or made by combinatorialization. After discovering its relation with Smarandache multi-spaces, it is then be applied to generalize mathematics over 1-dimensional topological graphs, namely the mathematical combinatorics that I promoted on science internationally for more than 20 years. This paper surveys how I proposed this conjecture from combinatorial topology, how to use it for characterizing the non-uniform groups or contradictory systems and furthermore, why I introduce the continuity ow GL as a mathematical element, i.e., vectors in Banach space over topological graphs with operations and then, how to apply it to generalize a few of important conclusions in functional analysis for providing the human recognition on the reality of things, including the subdivision of substance into elementary particles or quarks in theoretical physics with a mathematical supporting.

Discrete Thoughts

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Author : Mark Kac
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-07-01

Discrete Thoughts written by Mark Kac and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-01 with Mathematics categories.

This is a volume of essays and reviews that delightfully explores mathematics in all its moods — from the light and the witty, and humorous to serious, rational, and cerebral. These beautifully written articles from three great modern mathematicians will provide a source for supplemental reading for almost any math class. Topics include: logic, combinatorics, statistics, economics, artificial intelligence, computer science, and broad applications of mathematics. Readers will also find coverage of history and philosophy, including discussion of the work of Ulam, Kant, and Heidegger, among others.

Arithmetic And Combinatorics

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Author : Gottfried Martin
language : en
Publisher: SIU Press
Release Date : 1985

Arithmetic And Combinatorics written by Gottfried Martin and has been published by SIU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.

This is the only work to provide a historical account of Kant s theory of arithmetic, examining in detail the theories of both his predecessors and his successors.Until his death, Martin was the editor of "Kant-Studien "from 1954, of the general Kant index from 1964, of the Leibniz index from 1968, and coeditor of "Leibnizstudien "from 1969. This background is used to its fullest as he strives to make clear the historical milieu in which Kant s mathematical contributions developed. He uses Leibniz, Wolff, and others whose work was accomplished before Kant was born as well as Lambert, Mendelssohn, and others roughly contemporary with Kant; and when a point requires it, he refers to Gauss, Grassman, Frege, Russell, and Hilbert.In her translation Wubnig has approached the original author with an abiding respect. She makes the translation flow in English while preserving as far as possible the flavor of the original. She has added many bibliographical and biographical details to ease the following up of Martin s allusions and suggestions."

A Combinatorial Theory Of Possibility

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Author : D. M. Armstrong
language : en
Publisher: Cambridge University Press
Release Date : 1989-09-29

A Combinatorial Theory Of Possibility written by D. M. Armstrong and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-09-29 with Philosophy categories.

Preface Part I. Non-Naturalist Theories of Possibility: 1. Causal argument 2. Non-Naturalist theories of possibility Part II. A Combinatorial and Naturalist Account of Possibility: 3. Possibility in a simple world 4. Expanding and contracting the world 5. Relative atoms 6. Are there de re incompatibilities and necessities? 7. Higher-order entities, negation and causation 8. Supervenience 9. Mathematics 10. Final questions: logic Works cited Appendix: Tractarian Nominalism Brian Skyrms Index.

Leibniz Dissertation On Combinatorial Art

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Author : Massimo Mugnai
language : en
Publisher: Oxford University Press
Release Date : 2020-05-28

Leibniz Dissertation On Combinatorial Art written by Massimo Mugnai and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-28 with Philosophy categories.

Leibniz published the Dissertation on Combinatorial Art in 1666. This book contains the seeds of Leibniz's mature thought, as well as many of the mathematical ideas that he would go on to further develop after the invention of the calculus. It is in the Dissertation, for instance, that we find the project for the construction of a logical calculus clearly expressed for the first time. The idea of encoding terms and propositions by means of numbers, later developed by Kurt Gödel, also appears in this work. In this text, furthermore, Leibniz conceives the possibility of constituting a universal language or universal characteristic, a project that he would pursue for the rest of his life. Mugnai, van Ruler, and Wilson present the first full English translation of the Dissertation, complete with a critical introduction and a comprehensive commentary.

Well Quasi Orders In Computation Logic Language And Reasoning

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Author : Peter M. Schuster
language : en
Publisher: Springer Nature
Release Date : 2020-01-01

Well Quasi Orders In Computation Logic Language And Reasoning written by Peter M. Schuster and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-01 with Philosophy categories.

This book bridges the gaps between logic, mathematics and computer science by delving into the theory of well-quasi orders, also known as wqos. This highly active branch of combinatorics is deeply rooted in and between many fields of mathematics and logic, including proof theory, commutative algebra, braid groups, graph theory, analytic combinatorics, theory of relations, reverse mathematics and subrecursive hierarchies. As a unifying concept for slick finiteness or termination proofs, wqos have been rediscovered in diverse contexts, and proven to be extremely useful in computer science. The book introduces readers to the many facets of, and recent developments in, wqos through chapters contributed by scholars from various fields. As such, it offers a valuable asset for logicians, mathematicians and computer scientists, as well as scholars and students.

Principia Mathematica

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Author : Alfred North Whitehead
language : en
Publisher: Cambridge University Press
Release Date : 1927

Principia Mathematica written by Alfred North Whitehead and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1927 with Mathematics categories.

The Principia Mathematica has long been recognised as one of the intellectual landmarks of the century.

From Combinatorics To Philosophy

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