Mathematics and the Natural Sciences

Mathematics and the Natural Sciences
Author :
Publisher : World Scientific
Total Pages : 337
Release :
ISBN-10 : 9781848166936
ISBN-13 : 1848166931
Rating : 4/5 (36 Downloads)

Book Synopsis Mathematics and the Natural Sciences by : Francis Bailly

Download or read book Mathematics and the Natural Sciences written by Francis Bailly and published by World Scientific. This book was released on 2011 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book aims at the identification of the organising concepts of some physical and biological phenomena, by means of an analysis of the foundations of mathematics and of physics. This is done in the perspective of unifying phenomena, of bringing different conceptual universes into dialog. The analysis of the role of “order” and of symmetries in the foundations of mathematics is linked to the main invariants and principles, among which the geodesic principle (a consequence of symmetries), which govern and confer unity to the various physical theories. Moreover, we attempt to understand causal structures, a central element of physical intelligibility, in terms of symmetries and their breakings. The importance of the mathematical tool is also highlighted, enabling us to grasp the differences in the models for physics and biology which are proposed by continuous and discrete mathematics, such as computational simulations. A distinction between principles of (conceptual) construction and principles of proofs, both in physics and in mathematics, guides this part of the work.As for biology, being particularly difficult and not as thoroughly examined at a theoretical level, we propose a “unification by concepts”, an attempt which should always precede mathematisation. This constitutes an outline for unification also basing itself upon the highlighting of conceptual differences, of complex points of passage, of technical irreducibilities of one field to another. Indeed, a monist point of view such as ours should not make us blind: we, the living objects, are surely just big bags of molecules or, at least, this is our main metaphysical assumption. The point though is: which theory can help us to better understand these bags of molecules, as they are, indeed, rather “singular”, from the physical point of view. Technically, this singularity is expressed by the notion of “extended criticality”, a notion that logically extends the pointwise critical transitions in physics.


Mathematics and the Natural Sciences Related Books

Mathematics and the Natural Sciences
Language: en
Pages: 337
Authors: Francis Bailly
Categories: Science
Type: BOOK - Published: 2011 - Publisher: World Scientific

DOWNLOAD EBOOK

The book aims at the identification of the organising concepts of some physical and biological phenomena, by means of an analysis of the foundations of mathemat
Mathematics And The Natural Sciences: The Physical Singularity Of Life
Language: en
Pages: 337
Authors: Giuseppe Longo
Categories: Science
Type: BOOK - Published: 2011-03-04 - Publisher: World Scientific

DOWNLOAD EBOOK

This book identifies the organizing concepts of physical and biological phenomena by an analysis of the foundations of mathematics and physics. Our aim is to pr
Ontogenesis Beyond Complexity
Language: en
Pages: 196
Authors: Cary Wolfe
Categories: Philosophy
Type: BOOK - Published: 2021-12-27 - Publisher: Routledge

DOWNLOAD EBOOK

This book is based upon the collaborative efforts of the Ontogenetics Process Group (OPG) – an interdisciplinary, multi-institutional, multi-national research
Naturalizing Badiou
Language: en
Pages: 384
Authors: Fabio Gironi
Categories: Philosophy
Type: BOOK - Published: 2014-11-23 - Publisher: Springer

DOWNLOAD EBOOK

Crossing the boundaries between 'continental' and 'analytic' philosophical approaches, this book proposes a naturalistic revision of the mathematical ontology o
Biosemiotics and Evolution
Language: en
Pages: 268
Authors: Elena Pagni
Categories: Science
Type: BOOK - Published: 2022-01-03 - Publisher: Springer Nature

DOWNLOAD EBOOK

This book reviews the evolution of Biosemiotics and gives an outlook on the future of this interdisciplinary new discipline. In this volume, the foundations of