Peano

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Publisher : Springer Science & Business Media
ISBN 13 : 9400989849
Total Pages : 238 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Peano by : H. Kennedy

Download or read book Peano written by H. Kennedy and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: All students of mathematics know of Peano's postulates for the natural numbers and his famous space-filling curve, yet their knowledge often stops there. Part of the reason is that there has not until now been a full-scale study of his life and works. This must surely be surprising, when one realizes the length of his academic career (over 50 years) and the extent of his publica tions (over 200) in a wide variety of fields, many of which had immediate and long-term effects on the development of modern mathematics. A study of his life seems long overdue. It appeared to me that the most likely person to write a biography of Peano would be his devoted disciple Ugo Cassina, with whom I studied at the University of Milan in 1957-58. I wrote to Professor Cassina on 29 October, 1963, inquiring if he planned to write the biography, and I offered him my assistance, since I hoped to return to Italy for a year. He replied on 28 November, 1963, suggesting that we collaborate, meaning by this that I would write the biography, in English, using his material and advice. I gladly agreed to this suggestion, but work on the project had hardly begun when Professor Cassina died unexpectedly on 5 October, 1964. I then decided to continue the project on my own. I spent the academic year 1966-67 in Turin; completion of the book took ten years.

Giuseppe Peano between Mathematics and Logic

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Publisher : Springer Science & Business Media
ISBN 13 : 8847018366
Total Pages : 198 pages
Book Rating : 4.8/5 (47 download)

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Book Synopsis Giuseppe Peano between Mathematics and Logic by : Fulvia Skof

Download or read book Giuseppe Peano between Mathematics and Logic written by Fulvia Skof and published by Springer Science & Business Media. This book was released on 2011-04-30 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the papers developing out the presentations given at the International Conference organized by the Torino Academy of Sciences and the Department of Mathematics Giuseppe Peano of the Torino University to celebrate the 150th anniversary of G. Peano's birth - one of the greatest figures in modern mathematics and logic and the most important mathematical logician in Italy - a century after the publication of Formulario Mathematico, a great attempt to systematise Mathematics in symbolic form.

Logic, Epistemology, and Scientific Theories - From Peano to the Vienna Circle

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Publisher : Springer Nature
ISBN 13 : 3031421906
Total Pages : 333 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Logic, Epistemology, and Scientific Theories - From Peano to the Vienna Circle by : Paola Cantù

Download or read book Logic, Epistemology, and Scientific Theories - From Peano to the Vienna Circle written by Paola Cantù and published by Springer Nature. This book was released on 2024-01-23 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a collection of chapters on the development of scientific philosophy and symbolic logic in the early twentieth century. The turn of the last century was a key transitional period for the development of symbolic logic and scientific philosophy. The Peano school, the editorial board of the Revue de Métaphysique et de Morale, and the members of the Vienna Circle are generally mentioned as champions of this transformation of the role of logic in mathematics and in the sciences. The scholarship contained provides a rich historical and philosophical understanding of these groups and research areas. Specifically, the contributions focus on a detailed investigation of the relation between structuralism and modern mathematics. In addition, this book provides a closer understanding of the relation between symbolic logic and previous traditions such as syllogistics. This volume also informs the reader on the relation between logic, the history and didactics in the Peano School. This edition appeals to students and researchers working in the history of philosophy and of logic, philosophy of science, as well as to researchers on the Vienna Circle and the Peano School.

Frege, Dedekind, and Peano on the Foundations of Arithmetic (Routledge Revivals)

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Publisher : Routledge
ISBN 13 : 1136721088
Total Pages : 114 pages
Book Rating : 4.1/5 (367 download)

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Book Synopsis Frege, Dedekind, and Peano on the Foundations of Arithmetic (Routledge Revivals) by : Donald Gillies

Download or read book Frege, Dedekind, and Peano on the Foundations of Arithmetic (Routledge Revivals) written by Donald Gillies and published by Routledge. This book was released on 2013-01-11 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1982, this reissue contains a critical exposition of the views of Frege, Dedekind and Peano on the foundations of arithmetic. The last quarter of the 19th century witnessed a remarkable growth of interest in the foundations of arithmetic. This work analyses both the reasons for this growth of interest within both mathematics and philosophy and the ways in which this study of the foundations of arithmetic led to new insights in philosophy and striking advances in logic. This historical-critical study provides an excellent introduction to the problems of the philosophy of mathematics - problems which have wide implications for philosophy as a whole. This reissue will appeal to students of both mathematics and philosophy who wish to improve their knowledge of logic.

A Modification of Peano's Postulates for Positive Integers

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Publisher :
ISBN 13 :
Total Pages : 104 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis A Modification of Peano's Postulates for Positive Integers by : Mark Hoyt Ingraham

Download or read book A Modification of Peano's Postulates for Positive Integers written by Mark Hoyt Ingraham and published by . This book was released on 1922 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Models of Peano Arithmetic

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Publisher :
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Models of Peano Arithmetic by : Richard Kaye

Download or read book Models of Peano Arithmetic written by Richard Kaye and published by . This book was released on 1991 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non-standard models of arithmetic are of interest to mathematicians through the presence of infinite integers and the various properties they inherit from the finite integers. Since their introduction in the 1930s, they have come to play an important role in model theory, and in combinatorics through independence results such as the Paris-Harrington theorem. This book is an introduction to these developments, and stresses the interplay between the first-order theory, recursion-theoretic aspects, and the structural properties of these models. Prerequisites for an understanding of the text have been kept to a minimum, these being a basic grounding in elementary model theory and a familiarity with the notions of recursive, primitive recursive, and r.e. sets. Consequently, the book is suitable for postgraduate students coming to the subject for the first time, and a number of exercises of varying degrees of difficulty will help to further the reader's understanding.

Selected Works of Giuseppe Peano

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Publisher : University of Toronto Press
ISBN 13 : 9781487592240
Total Pages : 262 pages
Book Rating : 4.5/5 (922 download)

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Book Synopsis Selected Works of Giuseppe Peano by : Hubert C. Kennedy

Download or read book Selected Works of Giuseppe Peano written by Hubert C. Kennedy and published by University of Toronto Press. This book was released on 1973-12 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the decade before 1900, the Italian mathematician Giuseppe Peano was one of the most original and influential pioneers of modern mathematical logic. He made significant contributions to the development of the foundations of mathematics and the axiomatic method (for example, his postulates for the natural numbers), dimension theory (including the space-filling curve), measure theory, vector analysis, differential equations, and the rigorization of analysis. Several of Peano's works have been translated into other languages; here for the first time is a generous selection of works translated into English. Fifteen articles, one booklet, and parts of two books and one monograph, published between 1883 and 1921, chosen with the interests of mathematicians and logicians in mind, are included. Each selection is preceded by an introductory note. The volume also contains a biographical sketch, a chronological list of Peano's publications (larger by one fifth than any previously published list), and a bibliography on the life and work of Peano. This selection will appeal especially to historians of mathematics and logic, but also to those mathematicians and logicians who wish to know more about how their subject came to be.

Practical Aspects of Declarative Languages

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Publisher : Springer Science & Business Media
ISBN 13 : 3642183778
Total Pages : 273 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Practical Aspects of Declarative Languages by : Ricardo Rocha

Download or read book Practical Aspects of Declarative Languages written by Ricardo Rocha and published by Springer Science & Business Media. This book was released on 2011-01-11 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 13th International Symposium on Practical Aspects of Declarative Languages, PADL 2011, held in Austin, TX, USA, in January 2011, co-located with POPL 2011, the Symposium on Principles of Programming Languages. The 17 revised full papers presented together with one application paper were carefully reviewed and selected from 40 submissions. The volume features a variety of contributions ranging from message-passing and mobile networks, concurrent and parallel programming, event processing and reactive programming, profiling and portability in Prolog, constraint programming, grammar combinators, belief set merging and work on new language extensions and tools.

A Logical Approach to Discrete Math

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Publisher : Springer Science & Business Media
ISBN 13 : 9780387941158
Total Pages : 536 pages
Book Rating : 4.9/5 (411 download)

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Book Synopsis A Logical Approach to Discrete Math by : David Gries

Download or read book A Logical Approach to Discrete Math written by David Gries and published by Springer Science & Business Media. This book was released on 1993-10-22 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here, the authors strive to change the way logic and discrete math are taught in computer science and mathematics: while many books treat logic simply as another topic of study, this one is unique in its willingness to go one step further. The book traets logic as a basic tool which may be applied in essentially every other area.

The Outer Limits of Reason

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Publisher : MIT Press
ISBN 13 : 026252984X
Total Pages : 419 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis The Outer Limits of Reason by : Noson S. Yanofsky

Download or read book The Outer Limits of Reason written by Noson S. Yanofsky and published by MIT Press. This book was released on 2016-11-04 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This exploration of the scientific limits of knowledge challenges our deep-seated beliefs about our universe, our rationality, and ourselves. “A must-read for anyone studying information science.” —Publishers Weekly, starred review Many books explain what is known about the universe. This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and reason have revealed to us, this work studies what science, mathematics, and reason tell us cannot be revealed. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of computers, physics, logic, and our own intuitions about the world—including our ideas about space, time, and motion, and the complex relationship between the knower and the known. Yanofsky describes simple tasks that would take computers trillions of centuries to complete and other problems that computers can never solve: • perfectly formed English sentences that make no sense • different levels of infinity • the bizarre world of the quantum • the relevance of relativity theory • the causes of chaos theory • math problems that cannot be solved by normal means • statements that are true but cannot be proven Moving from the concrete to the abstract, from problems of everyday language to straightforward philosophical questions to the formalities of physics and mathematics, Yanofsky demonstrates a myriad of unsolvable problems and paradoxes. Exploring the various limitations of our knowledge, he shows that many of these limitations have a similar pattern and that by investigating these patterns, we can better understand the structure and limitations of reason itself. Yanofsky even attempts to look beyond the borders of reason to see what, if anything, is out there.

Giuseppe Peano

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Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Giuseppe Peano by : Roman Murawski

Download or read book Giuseppe Peano written by Roman Murawski and published by . This book was released on 1985 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Environmental Information Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 3662036029
Total Pages : 257 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Environmental Information Systems by : Oliver Günther

Download or read book Environmental Information Systems written by Oliver Günther and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Environmental information systems (EIS) are concerned with the management of data about the soil, the water, the air, and the species in the world around us. This first textbook on the topic gives a conceptual framework for EIS by structuring the data flow into 4 phases: data capture, storage, analysis, and metadata management. This flow corresponds to a complex aggregation process gradually transforming the incoming raw data into concise documents suitable for high-level decision support. All relevant concepts are covered, including statistical classification, data fusion, uncertainty management, knowledge based systems, GIS, spatial databases, multidimensional access methods, object-oriented databases, simulation models, and Internet-based information management. Several case studies present EIS in practice.

Discrete Mathematics Using a Computer

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Publisher : Springer Science & Business Media
ISBN 13 : 1852330899
Total Pages : 362 pages
Book Rating : 4.8/5 (523 download)

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Book Synopsis Discrete Mathematics Using a Computer by : Cordelia Hall

Download or read book Discrete Mathematics Using a Computer written by Cordelia Hall and published by Springer Science & Business Media. This book was released on 2000 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers a new, hands-on approach to teaching Discrete Mathematics. A simple functional language is used to allow students to experiment with mathematical notations which are traditionally difficult to pick up. This practical approach provides students with instant feedback and also allows lecturers to monitor progress easily. All the material needed to use the book will be available via ftp (the software is freely available and runs on Mac, PC and Unix platforms), including a special module which implements the concepts to be learned.No prior knowledge of Functional Programming is required: apart from List Comprehension (which is comprehensively covered in the text) everything the students need is either provided for them or can be picked up easily as they go along. An Instructors Guide will also be available on the WWW to help lecturers adapt existing courses.

Encyclopaedia of Mathematics

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Publisher : Springer
ISBN 13 : 1489937919
Total Pages : 932 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Encyclopaedia of Mathematics by : M. Hazewinkel

Download or read book Encyclopaedia of Mathematics written by M. Hazewinkel and published by Springer. This book was released on 2013-12-01 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quarterly Journal of Pure and Applied Mathematics

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Publisher :
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Quarterly Journal of Pure and Applied Mathematics by : James Joseph Sylvester

Download or read book Quarterly Journal of Pure and Applied Mathematics written by James Joseph Sylvester and published by . This book was released on 1912 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Quarterly Journal of Pure and Applied Mathematics ...

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Publisher :
ISBN 13 :
Total Pages : 396 pages
Book Rating : 4.:/5 ( download)

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Book Synopsis The Quarterly Journal of Pure and Applied Mathematics ... by :

Download or read book The Quarterly Journal of Pure and Applied Mathematics ... written by and published by . This book was released on 1912 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Great Formal Machinery Works

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Publisher : Princeton University Press
ISBN 13 : 0691174172
Total Pages : 392 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis The Great Formal Machinery Works by : Jan von Plato

Download or read book The Great Formal Machinery Works written by Jan von Plato and published by Princeton University Press. This book was released on 2017-08-02 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The information age owes its existence to a little-known but crucial development, the theoretical study of logic and the foundations of mathematics. The Great Formal Machinery Works draws on original sources and rare archival materials to trace the history of the theories of deduction and computation that laid the logical foundations for the digital revolution. Jan von Plato examines the contributions of figures such as Aristotle; the nineteenth-century German polymath Hermann Grassmann; George Boole, whose Boolean logic would prove essential to programming languages and computing; Ernst Schröder, best known for his work on algebraic logic; and Giuseppe Peano, cofounder of mathematical logic. Von Plato shows how the idea of a formal proof in mathematics emerged gradually in the second half of the nineteenth century, hand in hand with the notion of a formal process of computation. A turning point was reached by 1930, when Kurt Gödel conceived his celebrated incompleteness theorems. They were an enormous boost to the study of formal languages and computability, which were brought to perfection by the end of the 1930s with precise theories of formal languages and formal deduction and parallel theories of algorithmic computability. Von Plato describes how the first theoretical ideas of a computer soon emerged in the work of Alan Turing in 1936 and John von Neumann some years later. Shedding new light on this crucial chapter in the history of science, The Great Formal Machinery Works is essential reading for students and researchers in logic, mathematics, and computer science.