Philosophy Of Mathematics And Deductive Structure In Euclid S Elements
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Philosophy Of Mathematics And Deductive Structure In Euclid S Elements
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Author : Ian Mueller
language : en
Publisher: Courier Dover Publications
Release Date : 2006
Philosophy Of Mathematics And Deductive Structure In Euclid S Elements written by Ian Mueller and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
A survey of Euclid's Elements, this text provides an understanding of the classical Greek conception of mathematics and its similarities to modern views as well as its differences. It focuses on philosophical, foundational, and logical questions -- rather than focusing strictly on historical and mathematical issues -- and features several helpful appendixes.
Reader S Guide To The History Of Science
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Author : Arne Hessenbruch
language : en
Publisher: Routledge
Release Date : 2013-12-16
Reader S Guide To The History Of Science written by Arne Hessenbruch and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-16 with History categories.
The Reader's Guide to the History of Science looks at the literature of science in some 550 entries on individuals (Einstein), institutions and disciplines (Mathematics), general themes (Romantic Science) and central concepts (Paradigm and Fact). The history of science is construed widely to include the history of medicine and technology as is reflected in the range of disciplines from which the international team of 200 contributors are drawn.
Mathematics In Kant S Critical Philosophy
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Author : Lisa Shabel
language : en
Publisher: Routledge
Release Date : 2017-09-25
Mathematics In Kant S Critical Philosophy written by Lisa Shabel and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-25 with Mathematics categories.
First published in 2003. Routledge is an imprint of Taylor & Francis, an informa company.
The Tyranny Of Public Discourse
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Author : David Hirsch
language : en
Publisher: Casemate Publishers
Release Date : 2019-05-19
The Tyranny Of Public Discourse written by David Hirsch and has been published by Casemate Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-19 with Language Arts & Disciplines categories.
“The ultimate teacher of fact-based, reasoned rhetoric . . . A nice dose of American history makes learning the groundbreaking technique fun.” —Nerida F. Ellerton and McKenzie A. Clements, authors on writings of Thomas Jefferson and Abraham Lincoln Are you satisfied with the current state of public discourse? The almost unanimous response from people across the nation is a loud and emphatic “No!” The reply is always the same regardless of politics. Today’s public discourse typically starts with a “conclusion” and goes downhill from there. If there are talking heads, argument begins instantly and typically runs in circles. This is a dangerous path for a society that depends upon civility and virtue to survive. The Tyranny of Public Discourse addresses what is one of the most important issues of our time. This book can teach anyone how to use logic and reason to create persuasive writing. A byproduct of this is the civility that will ensue with an elevated public discourse. The Tyranny of Public Discourse establishes the six elements of a proposition as a verbal form of the scientific method—something Abraham Lincoln knew and used routinely. His logic and reason are so well known that he is quoted today more than 150 years after his death. Learning the six elements and how to use them to discuss any topic at any time is not only fascinating, but fairly easy to understand and implement. This book sets it all out, step-by-step and color coded, from beginning to end. The Tyranny of Public Discourse, complete with 21 diagrams on how to structure your logic, is the book you have been waiting for. The time is short, and the hour is now.
Form And Clarity In Euclid S Elements
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Author : Anna-Maria Gasser
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2024-07-22
Form And Clarity In Euclid S Elements written by Anna-Maria Gasser and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-22 with History categories.
As of yet, the remarkable and highly influential textual form of Euclidean mathematics has not been considered from a literary-aesthetic perspective. By its extreme standardization and seeming non-literariness it appears to defy such an approach. This book nonetheless attempts precisely a literary-aesthetic study of the language and style of Euclid’s Elements, focusing on book I. It aims to find out what is literary about the form and what motivates this form as form. In doing so, it employs the concept of clarity, asking: How is the textual form related to logical and communicative clarity? That is, how far is the omnipresent standardization necessary for the accomplishment and successful communication of the proofs? Based on a close analysis of the standardization at all levels of the text (lexicon, grammar, structure, and especially diagram), it argues that the textual form of the Elements is standardized beyond logical-communicative purposes, and that it is in this sense ‘aesthetic’. The book exposes the unexpected literary dimension of Euclid’s Elements, provides a new interpretation of the peculiar form of the work, and offers a model for determining the role of clarity (not only) in Greek theoretical mathematics.
An Introduction To Algebraic Structures
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Author : Joseph Landin
language : en
Publisher: Courier Corporation
Release Date : 2012-08-29
An Introduction To Algebraic Structures written by Joseph Landin and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-29 with Mathematics categories.
This self-contained text covers sets and numbers, elements of set theory, real numbers, the theory of groups, group isomorphism and homomorphism, theory of rings, and polynomial rings. 1969 edition.
Connecting Humans To Equations
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Author : Ole Ravn
language : en
Publisher: Springer
Release Date : 2019-02-06
Connecting Humans To Equations written by Ole Ravn and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-06 with Education categories.
Connecting Humans to Equations: A Reinterpretation of the Philosophy of Mathematics presents some of the most important positions in the philosophy of mathematics, while adding new dimensions to this philosophy. Mathematics is an integral part of human and social life, meaning that a philosophy of mathematics must include several dimensions. This book describes these dimensions by the following four questions that structure the content of the book: Where is mathematics? How certain is mathematics? How social is mathematics? How good is mathematics? These four questions refer to the ontological, epistemological, social, and ethical dimension of a philosophy of mathematics. While the ontological and epistemological dimensions have been explored in all classic studies in the philosophy of mathematics, the exploration of the book is unique in its social and ethical dimensions. It argues that the foundation of mathematics is deeply connected to human and social actions and that mathematics includes not just descriptive but also performative features. This human-centered and accessible interpretation of mathematics is relevant for students in mathematics, mathematics education, and any technical discipline and for anybody working with mathematics.
Mathematizing Space
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Author : Vincenzo De Risi
language : en
Publisher: Birkhäuser
Release Date : 2015-01-31
Mathematizing Space written by Vincenzo De Risi and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-31 with Mathematics categories.
This book collects the papers of the conference held in Berlin, Germany, 27-29 August 2012, on 'Space, Geometry and the Imagination from Antiquity to the Modern Age'. The conference was a joint effort by the Max Planck Institute for the History of Science (Berlin) and the Centro die Ricerca Matematica Ennio De Giorgi (Pisa).
Philosophy And Geometry
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Author : L. Magnani
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Philosophy And Geometry written by L. Magnani 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 2012-12-06 with Science categories.
Philosophers have studied geometry since ancient times. Geometrical knowledge has often played the role of a laboratory for the philosopher's conceptual experiments dedicated to the ideation of powerful theories of knowledge. Lorenzo Magnani's new book Philosophy and Geometry illustrates the rich intrigue of this fascinating story of human knowledge, providing a new analysis of the ideas of many scholars (including Plato, Proclus, Kant, and Poincaré), and discussing conventionalist and neopositivist perspectives and the problem of the origins of geometry. The book also ties together the concerns of philosophers of science and cognitive scientists, showing, for example, the connections between geometrical reasoning and cognition as well as the results of recent logical and computational models of geometrical reasoning. All the topics are dealt with using a novel combination of both historical and contemporary perspectives. Philosophy and Geometry is a valuable contribution to the renaissance of research in the field.
Euclid S Elements The Thirteen Books
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Author : Euclid
language : en
Publisher:
Release Date : 2017-12-17
Euclid S Elements The Thirteen Books written by Euclid and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-17 with Mathematics categories.
Euclid was a mathematician from the Greek city of Alexandria who lived during the 4th and 3rd century B.C. and is often referred to as the "father of geometry." Within his foundational treatise "Elements," Euclid presents the results of earlier mathematicians and includes many of his own theories in a systematic, concise book that utilized a brief set of axioms and meticulous proofs to solidify his deductions. In addition to its easily referenced geometry, "Elements" also includes number theory and other mathematical considerations. For centuries, this work was a primary textbook of mathematics, containing the only framework for geometry known by mathematicians until the development of "non-Euclidian" geometry in the late 19th century. The extent to which Euclid's "Elements" is of his own original authorship or borrowed from previous scholars is unknown, however despite this fact it was his collation of these basic mathematical principles for which most of the world would come to the study of geometry. Today, Euclid's "Elements" is acknowledged as one of the most influential mathematical texts in history. This volume includes all thirteen books of Euclid's "Elements," is printed on premium acid-free paper, and follows the translation of Thomas Heath.