Download or read book The Elements of Euclid books i to vi with deductions appendices and historical notes by J S Mackay With Key written by Euclides and published by . This book was released on 1884 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lectures on the Philosophy of Mathematics written by Joel David Hamkins and published by MIT Press. This book was released on 2021-03-09 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.
Download or read book Moffatt s reprint and solutions of certificate questions men and women written by Moffatt and Paige and published by . This book was released on 1887 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Deduction Computation Experiment written by Rossella Lupacchini and published by Springer Science & Business Media. This book was released on 2008-09-25 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is located in a cross-disciplinary ?eld bringing together mat- matics, logic, natural science and philosophy. Re?ection on the e?ectiveness of proof brings out a number of questions that have always been latent in the informal understanding of the subject. What makes a symbolic constr- tion signi?cant? What makes an assumption reasonable? What makes a proof reliable? G ̈ odel, Church and Turing, in di?erent ways, achieve a deep und- standing of the notion of e?ective calculability involved in the nature of proof. Turing’s work in particular provides a “precise and unquestionably adequate” de?nition of the general notion of a formal system in terms of a machine with a ?nite number of parts. On the other hand, Eugene Wigner refers to the - reasonable e?ectiveness of mathematics in the natural sciences as a miracle. Where should the boundary be traced between mathematical procedures and physical processes? What is the characteristic use of a proof as a com- tation, as opposed to its use as an experiment? What does natural science tell us about the e?ectiveness of proof? What is the role of mathematical proofs in the discovery and validation of empirical theories? The papers collected in this book are intended to search for some answers, to discuss conceptual and logical issues underlying such questions and, perhaps, to call attention to other relevant questions.
Download or read book The English language its sources c by T Page written by Thomas Page (schoolmaster.) and published by . This book was released on 1883 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Notes on school management written by George Collins (of the Borough road training coll.) and published by . This book was released on 1884 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Moffatt s history readers written by Moffatt and Paige and published by . This book was released on 1883 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Classified Catalogue of Educational Works in Use in the United Kingdom and Its Dependencies in 1887 written by and published by . This book was released on 1887 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The National Schoolmaster written by and published by . This book was released on 1879 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Scientific and practical geometry for self instruction written by Rolla Rouse and published by . This book was released on 1879 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Travelling Through Education written by Ole Skovsmose and published by BRILL. This book was released on 2005-01-01 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a personal notebook from a conceptual travel. But, in a different sense, it also represents a report on travelling. The main part of the manuscript was written in Brazil, Denmark and England, whilst notes have also been inspired by visits to other countries. So, the book not only represents conceptual travel, it also reflects seasons of real travelling.
Download or read book Parliamentary Papers written by Great Britain. Parliament. House of Commons and published by . This book was released on 1890 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Shaping of Deduction in Greek Mathematics written by Reviel Netz and published by Cambridge University Press. This book was released on 2003-09-18 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to explain the shape of Greek mathematical thinking. It can be read on three levels: as a description of the practices of Greek mathematics; as a theory of the emergence of the deductive method; and as a case-study for a general view on the history of science. The starting point for the enquiry is geometry and the lettered diagram. Reviel Netz exploits the mathematicians' practices in the construction and lettering of their diagrams, and the continuing interaction between text and diagram in their proofs, to illuminate the underlying cognitive processes. A close examination of the mathematical use of language follows, especially mathematicians' use of repeated formulae. Two crucial chapters set out to show how mathematical proofs are structured and explain why Greek mathematical practice manages to be so satisfactory. A final chapter looks into the broader historical setting of Greek mathematical practice.
Download or read book Form and Clarity in Euclid s Elements written by Anna-Maria Gasser and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-07-22 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Cancer A Comprehensive Treatise written by Frederick Becker and published by Springer. This book was released on 1975-04 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: Band 1.
Download or read book Kant s Transcendental Deduction written by Alison Laywine and published by . This book was released on 2020 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alison Laywine presents a new interpretation of one of the most famous texts in modern philosophy: Kant's Transcendental Deduction in his Critique of Pure Reason. She shows how Kant developed his view of a world as a whole unified by universal laws, and his view of experience as the whole of all possible appearances unified by universal laws.
Download or read book REPORT ON THE PROGRESS OF EDUCATION IN THE NORTH WESTERN PROVINCES FOR 1869 70 written by M. KEMPSON and published by . This book was released on 1870 with total page 980 pages. Available in PDF, EPUB and Kindle. Book excerpt:
