Synthetic Philosophy of Contemporary Mathematics

Synthetic Philosophy of Contemporary Mathematics PDF Author: Fernando Zalamea
Publisher: National Geographic Books
ISBN: 0956775012
Category : Philosophy
Languages : en
Pages : 0

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Book Description
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.

Synthetic Philosophy of Contemporary Mathematics

Synthetic Philosophy of Contemporary Mathematics PDF Author: Fernando Zalamea
Publisher: National Geographic Books
ISBN: 0956775012
Category : Philosophy
Languages : en
Pages : 0

Get Book Here

Book Description
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.

Philosophy and Simulation

Philosophy and Simulation PDF Author: Manuel DeLanda
Publisher: A&C Black
ISBN: 1441170286
Category : Philosophy
Languages : en
Pages : 234

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Book Description
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A System of Synthetic Philosophy

A System of Synthetic Philosophy PDF Author: Herbert Spencer
Publisher:
ISBN:
Category :
Languages : en
Pages : 550

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Book Description


Synthetic Philosophy of Contemporary Mathematics

Synthetic Philosophy of Contemporary Mathematics PDF Author: Fernando Zalamea
Publisher: MIT Press
ISBN: 1913029328
Category : Philosophy
Languages : en
Pages : 394

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Book Description
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.

An Epitome of the Synthetic Philosophy

An Epitome of the Synthetic Philosophy PDF Author: Frederick Howard Collins
Publisher:
ISBN:
Category : Philosophy
Languages : en
Pages : 612

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Book Description
"The object of this volume is to give in a condensed form the general principles of Mr. Herbert Spencer's Philosophy as far as possible in his original words."--Preface

Synthetic Philosophy ...

Synthetic Philosophy ... PDF Author: Herbert Spencer
Publisher:
ISBN:
Category :
Languages : en
Pages : 720

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Book Description


Epitome of the Synthetic Philosophy of Herbert Spencer

Epitome of the Synthetic Philosophy of Herbert Spencer PDF Author: Frederick Howard Collins
Publisher:
ISBN:
Category : Philosophy
Languages : en
Pages : 726

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Book Description


Truth in Virtue of Meaning

Truth in Virtue of Meaning PDF Author: Gillian Russell
Publisher: Oxford University Press, USA
ISBN: 0199232199
Category : Language Arts & Disciplines
Languages : en
Pages : 249

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Book Description
The distinction between analytic and synthetic sentences - the idea that some sentences are true or false just in virtue of what they mean - is a famous focus of philosophical controversy. Gillian Russell reinvigorates the debate with a challenging new defence of the distinction, showing that it is compatible with semantic externalism.

Synthetic Philosophy

Synthetic Philosophy PDF Author: Herbert Spencer
Publisher: Legare Street Press
ISBN: 9781019695555
Category :
Languages : en
Pages : 0

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Book Description
Explore the fundamental principles of philosophy and science in this groundbreaking work by influential philosopher Herbert Spencer. Spanning topics from evolution and ethics to sociology and psychology, this book presents a comprehensive synthesis of the sciences and humanities in a single, unified framework. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

A System of Synthetic Philosophy - First Principles - Vol. I

A System of Synthetic Philosophy - First Principles - Vol. I PDF Author: Herbert Spencer
Publisher: Read Books Ltd
ISBN: 1447494350
Category : Philosophy
Languages : en
Pages : 249

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Book Description
This vintage text contains a detailed treatise on synthetic philosophy, being an outlining of its first principles written by Herbert Spencer. Spencer's system endeavored to demonstrate that it was possible to believe in the perfection of humanity based on complex scientific ideas such as the first law of thermodynamics and biological evolution, rather than looking to religion. This fascinating text will appeal to those with an interest in seminal philosophical ideas, and will be of considerable utility to modern philosophy students. The chapters of this book include: 'Religion and Science', 'Ultimate Religious Ideas', 'Ultimate Scientific Ideas', 'The Relativity of All Knowledge', 'The Reconciliation', 'Philosophy Defined', 'The Data of Philosophy', 'The Indestructibility of Matter', 'The Continuity of Motion', etcetera. We are republishing this antiquarian book now in an affordable, modern edition complete with a specially commissioned new biography of the author.