A Structuralist Approach To Applying Mathematics
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A Structuralist Approach To Applying Mathematics
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Author : Chris John Pincock
language : en
Publisher: Ann Arbor, Mich. : University Microfilms International
Release Date : 2002
A Structuralist Approach To Applying Mathematics written by Chris John Pincock and has been published by Ann Arbor, Mich. : University Microfilms International this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.
Applying Mathematics
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Author : Otávio Bueno
language : en
Publisher: Oxford University Press
Release Date : 2018-05-24
Applying Mathematics written by Otávio Bueno 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 2018-05-24 with Science categories.
How is that when scientists need some piece of mathematics through which to frame their theory, it is there to hand? What has been called 'the unreasonable effectiveness of mathematics' sets a challenge for philosophers. Some have responded to that challenge by arguing that mathematics is essentially anthropocentric in character, whereas others have pointed to the range of structures that mathematics offers. Otávio Bueno and Steven French offer a middle way, which focuses on the moves that have to be made in both the mathematics and the relevant physics in order to bring the two into appropriate relation. This relation can be captured via the inferential conception of the applicability of mathematics, which is formulated in terms of immersion, inference, and interpretation. In particular, the roles of idealisations and of surplus structure in science and mathematics respectively are brought to the fore and captured via an approach to models and theories that emphasize the partiality of the available information: the partial structures approach. The discussion as a whole is grounded in a number of case studies drawn from the history of quantum physics, and extended to contest recent claims that the explanatory role of certain mathematical structures in scientific practice supports a realist attitude towards them. The overall conclusion is that the effectiveness of mathematics does not seem unreasonable at all once close attention is paid to how it is actually applied in practice.
The Prehistory Of Mathematical Structuralism
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Author : Erich H. Reck
language : en
Publisher: Oxford University Press
Release Date : 2020
The Prehistory Of Mathematical Structuralism written by Erich H. Reck 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 with Mathematics categories.
This edited volume explores the previously underacknowledged 'pre-history' of mathematical structuralism, showing that structuralism has deep roots in the history of modern mathematics. The contributors explore this history along two distinct but interconnected dimensions. First, they reconsider the methodological contributions of major figures in the history of mathematics. Second, they re-examine a range of philosophical reflections from mathematically-inclinded philosophers like Russell, Carnap, and Quine, whose work led to profound conclusions about logical, epistemological, and metaphysical aspects of structuralism.
Lie S Structural Approach To Pde Systems
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Author : Olle Stormark
language : en
Publisher: Cambridge University Press
Release Date : 2000-06-15
Lie S Structural Approach To Pde Systems written by Olle Stormark 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 2000-06-15 with Mathematics categories.
Here is a lucid and comprehensive introduction to the differential geometric study of partial differential equations (PDE). The first book to present substantial results on local solvability of general and nonlinear PDE systems without using power series techniques, it describes a general approach to PDE systems based on ideas developed by Lie, Cartan and Vessiot. The central theme is the exploitation of singular vector field systems and their first integrals. These considerations naturally lead to local Lie groups, Lie pseudogroups and the equivalence problem, all of which are covered in detail. This book will be a valuable resource for graduate students and researchers in partial differential equations, Lie groups and related fields.
A Structural Account Of Mathematics
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Author : Charles S. Chihara
language : en
Publisher: OUP Oxford
Release Date : 2003-11-20
A Structural Account Of Mathematics written by Charles S. Chihara and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-20 with Philosophy categories.
Charles Chihara's new book develops and defends a structural view of the nature of mathematics, and uses it to explain a number of striking features of mathematics that have puzzled philosophers for centuries. The view is used to show that, in order to understand how mathematical systems are applied in science and everyday life, it is not necessary to assume that its theorems either presuppose mathematical objects or are even true. Chihara builds upon his previous work, in which he presented a new system of mathematics, the constructibility theory, which did not make reference to, or presuppose, mathematical objects. Now he develops the project further by analysing mathematical systems currently used by scientists to show how such systems are compatible with this nominalistic outlook. He advances several new ways of undermining the heavily discussed indispensability argument for the existence of mathematical objects made famous by Willard Quine and Hilary Putnam. And Chihara presents a rationale for the nominalistic outlook that is quite different from those generally put forward, which he maintains have led to serious misunderstandings. A Structural Account of Mathematics will be required reading for anyone working in this field.
Mathematics As A Science Of Patterns
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Author : Michael D. Resnik
language : en
Publisher: Clarendon Press
Release Date : 1997-07-31
Mathematics As A Science Of Patterns written by Michael D. Resnik and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-07-31 with Philosophy categories.
Mathematics as a Science of Patterns is the definitive exposition of a system of ideas about the nature of mathematics which Michael Resnik has been elaborating for a number of years. In calling mathematics a science he implies that it has a factual subject-matter and that mathematical knowledge is on a par with other scientific knowledge; in calling it a science of patterns he expresses his commitment to a structuralist philosophy of mathematics. He links this to a defence of realism about the metaphysics of mathematics--the view that mathematics is about things that really exist. Resnik's distinctive philosophy of mathematics is here presented in an accessible and systematic form: it will be of value not only to specialists in this area, but to philosophers, mathematicians, and logicians interested in the relationship between these three disciplines, or in truth, realism, and epistemology.
Application Of Systemic Structural Activity Theory To Design And Training
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Author : Gregory Z. Bedny
language : en
Publisher: CRC Press
Release Date : 2014-12-18
Application Of Systemic Structural Activity Theory To Design And Training written by Gregory Z. Bedny and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-18 with Computers categories.
This book offers analytical methods for studying human work in ergonomics and psychology that are similar to ones utilized by the engineering sciences. SSAT offers not only new qualitative but also formalized and quantitative methods of analysis. This book will describe quantitative methods of task complexity and reliability assessment, application
Application Of Structural Equation Modeling In Educational Research And Practice
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Author : Myint Swe Khine
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-10-30
Application Of Structural Equation Modeling In Educational Research And Practice written by Myint Swe Khine 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 2013-10-30 with Education categories.
Structural Equation Modeling (SEM) is a statistical approach to testing hypothesis about the relationships among observed and latent variables. The use of SEM in research has increased in psychology, sociology, and economics in recent years. In particular educational researchers try to obtain the complete image of the process of education through the measurement of personality differences, learning environment, motivation levels and host of other variables that affect the teaching and learning process. With the use of survey instruments and interviews with students, teachers and other stakeholders as a lens, educators can assess and gain valuable information about the social ecology of the classrooms that could help in improving the instructional approach, classroom management and the learning organizations. A considerable number of research have been conducted to identify the factors and interactions between students’ characteristics, personal preferences, affective traits, study skills, and various other factors that could help in better educational performance. In recent years, educational researchers use Structural Equation Modeling (SEM) as a statistical technique to explore the complex and dynamic nature of interactions in educational research and practice. SEM is becoming a powerful analytical tool and making methodological advances in multivariate analysis. This book presents the collective works on concepts, methodologies and applications of SEM in educational research and practice. The anthology of current research described in this book will be a valuable resource for the next generation educational practitioners.
The Mathematician S Brain
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Author : David Ruelle
language : en
Publisher: Princeton University Press
Release Date : 2007-08-05
The Mathematician S Brain written by David Ruelle and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-05 with Mathematics categories.
Examines mathematical ideas and the visionary minds behind them. This book provides an account of celebrated mathematicians and their quirks, oddities, personal tragedies, bad behavior, descents into madness, tragic ends, and the beauty of their mathematical discoveries.
The Space Of Mathematics
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Author : Javier Echeverria
language : en
Publisher: Walter de Gruyter
Release Date : 2012-10-25
The Space Of Mathematics written by Javier Echeverria and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-25 with Mathematics categories.
No detailed description available for "The Space of Mathematics".