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Essays On Mathematical Reasoning


Essays On Mathematical Reasoning
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Essays On Mathematical Reasoning Cognitive Aspects Of Mathematical Research And Education


Essays On Mathematical Reasoning Cognitive Aspects Of Mathematical Research And Education
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Author : Jerzy Pogonowski
language : en
Publisher: LIT Verlag
Release Date : 2020-01-01

Essays On Mathematical Reasoning Cognitive Aspects Of Mathematical Research And Education written by Jerzy Pogonowski and has been published by LIT Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-01 with Mathematics categories.


This volume contains four essays which may attract the attention of those readers, who are interested in mathematical cognition. The main issues and questions addressed include: How do we achieve understanding of mathematical notions and ideas? What benefits can be obtained from the mistakes of great mathematicians? Which mathematical objects are standard and which are pathological? Is it possible to characterize the intended models of mathematical theories in a unique way?



Mathematical Reasoning The History And Impact Of The Dream Group


Mathematical Reasoning The History And Impact Of The Dream Group
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Author : Gregory Michaelson
language : en
Publisher: Springer
Release Date : 2022-11-22

Mathematical Reasoning The History And Impact Of The Dream Group written by Gregory Michaelson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-22 with Computers categories.


This collection of essays examines the key achievements and likely developments in the area of automated reasoning. In keeping with the group ethos, Automated Reasoning is interpreted liberally, spanning underpinning theory, tools for reasoning, argumentation, explanation, computational creativity, and pedagogy. Wider applications including secure and trustworthy software, and health care and emergency management. The book starts with a technically oriented history of the Edinburgh Automated Reasoning Group, written by Alan Bundy, which is followed by chapters from leading researchers associated with the group. Mathematical Reasoning: The History and Impact of the DReaM Group will attract considerable interest from researchers and practitioners of Automated Reasoning, including postgraduates. It should also be of interest to those researching the history of AI.



Mathematics Logic And Their Philosophies


Mathematics Logic And Their Philosophies
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Author : Mojtaba Mojtahedi
language : en
Publisher: Springer Nature
Release Date : 2021-02-09

Mathematics Logic And Their Philosophies written by Mojtaba Mojtahedi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-09 with Philosophy categories.


This volume is a collection of essays in honour of Professor Mohammad Ardeshir. It examines topics which, in one way or another, are connected to the various aspects of his multidisciplinary research interests. Based on this criterion, the book is divided into three general categories. The first category includes papers on non-classical logics, including intuitionistic logic, constructive logic, basic logic, and substructural logic. The second category is made up of papers discussing issues in the contemporary philosophy of mathematics and logic. The third category contains papers on Avicenna’s logic and philosophy. Mohammad Ardeshir is a full professor of mathematical logic at the Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, where he has taught generations of students for around a quarter century. Mohammad Ardeshir is known in the first place for his prominent works in basic logic and constructive mathematics. His areas of interest are however much broader and include topics in intuitionistic philosophy of mathematics and Arabic philosophy of logic and mathematics. In addition to numerous research articles in leading international journals, Ardeshir is the author of a highly praised Persian textbook in mathematical logic. Partly through his writings and translations, the school of mathematical intuitionism was introduced to the Iranian academic community.



The Nature Of Mathematical Thinking


The Nature Of Mathematical Thinking
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Author : Robert J. Sternberg
language : en
Publisher: Routledge
Release Date : 2012-10-12

The Nature Of Mathematical Thinking written by Robert J. Sternberg and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-12 with Education categories.


Why do some children seem to learn mathematics easily and others slave away at it, learning it only with great effort and apparent pain? Why are some people good at algebra but terrible at geometry? How can people who successfully run a business as adults have been failures at math in school? How come some professional mathematicians suffer terribly when trying to balance a checkbook? And why do school children in the United States perform so dismally in international comparisons? These are the kinds of real questions the editors set out to answer, or at least address, in editing this book on mathematical thinking. Their goal was to seek a diversity of contributors representing multiple viewpoints whose expertise might converge on the answers to these and other pressing and interesting questions regarding this subject. The chapter authors were asked to focus on their own approach to mathematical thinking, but also to address a common core of issues such as the nature of mathematical thinking, how it is similar to and different from other kinds of thinking, what makes some people or some groups better than others in this subject area, and how mathematical thinking can be assessed and taught. Their work is directed to a diverse audience -- psychologists interested in the nature of mathematical thinking and abilities, computer scientists who want to simulate mathematical thinking, educators involved in teaching and testing mathematical thinking, philosophers who need to understand the qualitative aspects of logical thinking, anthropologists and others interested in how and why mathematical thinking seems to differ in quality across cultures, and laypeople and others who have to think mathematically and want to understand how they are going to accomplish that feat.



Mathematical Essays


Mathematical Essays
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Author : John Hugh Wharrie Waugh (M.A.)
language : en
Publisher:
Release Date : 1854

Mathematical Essays written by John Hugh Wharrie Waugh (M.A.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1854 with categories.




An Essay On The Mathematical Principles Of Physics


An Essay On The Mathematical Principles Of Physics
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Author : James Challis
language : en
Publisher:
Release Date : 1873

An Essay On The Mathematical Principles Of Physics written by James Challis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1873 with Mathematical physics categories.




Mechanizing Mathematical Reasoning


Mechanizing Mathematical Reasoning
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Author : Dieter Hutter
language : en
Publisher: Springer
Release Date : 2011-03-29

Mechanizing Mathematical Reasoning written by Dieter Hutter and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-29 with Computers categories.


By presenting state-of-the-art results in logical reasoning and formal methods in the context of artificial intelligence and AI applications, this book commemorates the 60th birthday of Jörg H. Siekmann. The 30 revised reviewed papers are written by former and current students and colleagues of Jörg Siekmann; also included is an appraisal of the scientific career of Jörg Siekmann entitled "A Portrait of a Scientist: Logics, AI, and Politics." The papers are organized in four parts on logic and deduction, applications of logic, formal methods and security, and agents and planning.



Mathematical Essays Upon The Differential And Integral Calculus


Mathematical Essays Upon The Differential And Integral Calculus
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Author : John Hugh Wharrie WAUGH
language : en
Publisher:
Release Date : 1854

Mathematical Essays Upon The Differential And Integral Calculus written by John Hugh Wharrie WAUGH and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1854 with categories.




Mathematical Psychics An Essay On The Application Of Mathematics To The Moral Sciences


Mathematical Psychics An Essay On The Application Of Mathematics To The Moral Sciences
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Author : Francis Ysidro Edgeworth
language : en
Publisher: BoD – Books on Demand
Release Date : 2024-04-25

Mathematical Psychics An Essay On The Application Of Mathematics To The Moral Sciences written by Francis Ysidro Edgeworth and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-25 with Fiction categories.


Reprint of the original, first published in 1881.



Visualization Explanation And Reasoning Styles In Mathematics


Visualization Explanation And Reasoning Styles In Mathematics
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Author : P. Mancosu
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-30

Visualization Explanation And Reasoning Styles In Mathematics written by P. Mancosu 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 2006-03-30 with Mathematics categories.


In the 20th century philosophy of mathematics has to a great extent been dominated by views developed during the so-called foundational crisis in the beginning of that century. These views have primarily focused on questions pertaining to the logical structure of mathematics and questions regarding the justi?cation and consistency of mathematics. Paradigmatic in this - spect is Hilbert’s program which inherits from Frege and Russell the project to formalize all areas of ordinary mathematics and then adds the requi- ment of a proof, by epistemically privileged means (?nitistic reasoning), of the consistency of such formalized theories. While interest in modi?ed v- sions of the original foundational programs is still thriving, in the second part of the twentieth century several philosophers and historians of mat- matics have questioned whether such foundational programs could exhaust the realm of important philosophical problems to be raised about the nature of mathematics. Some have done so in open confrontation (and hostility) to the logically based analysis of mathematics which characterized the cl- sical foundational programs, while others (and many of the contributors to this book belong to this tradition) have only called for an extension of the range of questions and problems that should be raised in connection with an understanding of mathematics. The focus has turned thus to a consideration of what mathematicians are actually doing when they produce mathematics. Questions concerning concept-formation, understanding, heuristics, changes instyle of reasoning, the role of analogies and diagrams etc.