**Author**: Alfred North Whitehead,Bertrand Russell

**Publisher:**Cambridge University Press

**ISBN:**9780521626064

**Category:**Mathematics

**Page:**410

**View:**6109

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# Search Results for: principia-mathematica-to-56-2ed-cambridge-mathematical-library

**Author**: Alfred North Whitehead,Bertrand Russell

**Publisher:** Cambridge University Press

**ISBN:** 9780521626064

**Category:** Mathematics

**Page:** 410

**View:** 6109

The great three-volume Principia Mathematica (CUP 1927) is deservedly the most famous work ever written on the foundations of mathematics. Its aim is to deduce all the fundamental propositions of logic and mathematics from a small number of logical premises and primitive ideas, establishing that mathematics is a development of logic. This abridged text of Volume I contains the material that is most relevant to an introductory study of logic and the philosophy of mathematics (more advanced students will of course wish to refer to the complete edition). It contains the whole of the preliminary sections (which present the authors' justification of the philosophical standpoint adopted at the outset of their work); the whole of Part I (in which the logical properties of propositions, propositional functions, classes and relations are established); section A of Part II (dealing with unit classes and couples); and Appendices A and C (which give further developments of the argument on the theory of deduction and truth functions).
*Bertrand Russell's Manuscripts and Notes for the Second Edition*

**Author**: Bernard Linsky

**Publisher:** Cambridge University Press

**ISBN:** 1139497332

**Category:** Mathematics

**Page:** N.A

**View:** 694

Originally published in 1910, Principia Mathematica led to the development of mathematical logic and computers and thus to information sciences. It became a model for modern analytic philosophy and remains an important work. In the late 1960s the Bertrand Russell Archives at McMaster University in Canada obtained Russell's papers, letters and library. These archives contained the manuscripts for the new Introduction and three Appendices that Russell added to the second edition in 1925. Also included was another manuscript, 'The Hierarchy of Propositions and Functions', which was divided up and re-used to create the final changes for the second edition. These documents provide fascinating insight, including Russell's attempts to work out the theorems in the flawed Appendix B, 'On Induction'. An extensive introduction describes the stages of the manuscript material on the way to print and analyzes the proposed changes in the context of the development of symbolic logic after 1910.

**Author**: Irving M. Copi

**Publisher:** Routledge

**ISBN:** 1136816143

**Category:** Philosophy

**Page:** 156

**View:** 1179

This reissue, first published in 1971, provides a brief historical account of the Theory of Logical Types; and describes the problems that gave rise to it, its various different formulations (Simple and Ramified), the difficulties connected with each, and the criticisms that have been directed against it.

**Author**: Avner Ash,Peter Scholze

**Publisher:** Cambridge University Press

**ISBN:** 0521739551

**Category:** Mathematics

**Page:** 230

**View:** 3122

The new edition of this celebrated and long-unavailable book preserves the original book's content and structure and its unrivalled presentation of a universal method for the resolution of a class of singularities in algebraic geometry.

**Author**: Marcos Silva

**Publisher:** Springer

**ISBN:** 3319569198

**Category:** Philosophy

**Page:** 380

**View:** 7809

This book presents and discusses the varying and seminal role which colour plays in the development of Wittgenstein’s philosophy. Having once said that “Colours spur us to philosophize”, the theme of colour was one to which Wittgenstein returned constantly throughout his career. Ranging from his Notebooks, 1914-1916 and the Tractatus Logico-Philosophicus to the posthumously published Remarks on Colours and On Certainty, this book explores how both his view of philosophical problems generally and his view on colours specifically changed considerably over time. Paying particular attention to his so-called intermediary period, it takes a case-based approach to the presentation of colour in texts from this period, from Some Remarks on Logical Form and Philosophical Remarks to his Big Typescript.

**Author**: Sir Isaac Newton

**Publisher:** Library of Alexandria

**ISBN:** 1465595619

**Category:**

**Page:** N.A

**View:** 2951

To perform my late promise to you, I shall without further ceremony acquaint you, that in the beginning of the Year 1666 (at which time I applyed my self to the grinding of Optick glasses of other figures than Spherical,) I procured me a Triangular glass-Prisme, to try therewith the celebrated Phænomena of Colours. And in order thereto having darkened my chamber, and made a small hole in my window-shuts, to let in a convenient quantity of the Suns light, I placed my Prisme at his entrance, that it might be thereby refracted to the opposite wall. It was at first a very pleasing divertisement, to view the vivid and intense colours produced thereby; but after a while applying my self to consider them more circumspectly, I became surprised to see them in an oblong form; which, according to the received laws of Refraction, I expected should have been circular. They were terminated at the sides with streight lines, but at the ends, the decay of light was so gradual, that it was difficult to determine justly, what was their figure; yet they seemed semicircular. Comparing the length of this coloured Spectrum with its breadth, I found it about five times greater; a disproportion so extravagant, that it excited me to a more then ordinary curiosity of examining, from whence it might proceed. I could scarce think, that the various Thickness of the glass, or the termination with shadow or darkness, could have any Influence on light to produce such an effect; yet I thought it not amiss, first to examine those circumstances, and so tryed, what would happen by transmitting light through parts of the glass of divers thicknesses, or through holes in the window of divers bignesses, or by setting the Prisme without so, that the light might pass through it, and be refracted before it was terminated by the hole: But I found none of those circumstances material. The fashion of the colours was in all these cases the same.

**Author**: Bertrand Russell

**Publisher:** Spokesman Books

**ISBN:** 0851247385

**Category:** Mathematics

**Page:** 208

**View:** 8528

Bertrand Russell is probably the most important philosopher of mathematics in the 20th century. He brought together his formidable knowledge of the subject and skills as a gifted communicator to provide a classic introduction to the philosophy of mathematics.

**Author**: Bertrand Russell

**Publisher:** Routledge

**ISBN:** 1135223114

**Category:** Mathematics

**Page:** 608

**View:** 3819

First published in 1903, Principles of Mathematics was Bertrand Russell’s first major work in print. It was this title which saw him begin his ascent towards eminence. In this groundbreaking and important work, Bertrand Russell argues that mathematics and logic are, in fact, identical and what is commonly called mathematics is simply later deductions from logical premises. Highly influential and engaging, this important work led to Russell’s dominance of analytical logic on western philosophy in the twentieth century.
*Collectors Edition*

**Author**: Bertrand Russell

**Publisher:** Routledge

**ISBN:** 1135692912

**Category:** Philosophy

**Page:** 728

**View:** 7749

Now in a special gift edition, and featuring a brand new foreword by Anthony Gottlieb, this is a dazzlingly unique exploration of the works of significant philosophers throughout the ages and a definitive must-have title that deserves a revered place on every bookshelf.

**Author**: Yitzhak Katznelson

**Publisher:** Cambridge University Press

**ISBN:** 9780521543590

**Category:** Mathematics

**Page:** 314

**View:** 8031

First published in 1968, An Introduction to Harmonic Analysis has firmly established itself as a classic text and a favorite for students and experts alike. Professor Katznelson starts the book with an exposition of classical Fourier series. The aim is to demonstrate the central ideas of harmonic analysis in a concrete setting, and to provide a stock of examples to foster a clear understanding of the theory. Once these ideas are established, the author goes on to show that the scope of harmonic analysis extends far beyond the setting of the circle group, and he opens the door to other contexts by considering Fourier transforms on the real line as well as a brief look at Fourier analysis on locally compact abelian groups. This new edition has been revised by the author, to include several new sections and a new appendix.
*Selections from His Writings*

**Author**: Sir Isaac Newton

**Publisher:** Courier Corporation

**ISBN:** 0486170276

**Category:** Science

**Page:** 224

**View:** 5563

A wide, accessible representation of the interests, problems, and philosophic issues that preoccupied the great 17th-century scientist, this collection is grouped according to methods, principles, and theological considerations. 1953 edition.
*Imagining the World Through the Language of Mathematics*

**Author**: Robyn Arianrhod

**Publisher:** Oxford University Press

**ISBN:** 9780195308907

**Category:** Biography & Autobiography

**Page:** 336

**View:** 1804

Blending science, history, and biography, this book reveals the mysteries of mathematics, focusing on the life and work of three of Albert Einstein's heroes: Isaac Newton, Michael Faraday, and James Clerk Maxwell.

**Author**: Judith V. Grabiner

**Publisher:** Courier Corporation

**ISBN:** 0486143740

**Category:** Mathematics

**Page:** 272

**View:** 4454

This text examines the reinterpretation of calculus by Augustin-Louis Cauchy and his peers in the 19th century. These intellectuals created a collection of well-defined theorems about limits, continuity, series, derivatives, and integrals. 1981 edition.

**Author**: Derek Thomas Whiteside

**Publisher:** University of Glasgow French and German Publications

**ISBN:** N.A

**Category:** Biography & Autobiography

**Page:** 28

**View:** 7606

*An Index to the Publishers' Trade List Annual*

**Author**: N.A

**Publisher:** N.A

**ISBN:** N.A

**Category:** American literature

**Page:** N.A

**View:** 3219

**Author**: Morris Kline

**Publisher:** OUP USA

**ISBN:** 9780195061376

**Category:** Mathematics

**Page:** 399

**View:** 7495

Traces the development of mathematics from its beginnings in Babylonia and ancient Egypt to the work of Riemann and Godel in modern times

**Author**: Allen Kent,Harold Lancour,William Z. Nasri,Jay Elwood Daily

**Publisher:** N.A

**ISBN:** N.A

**Category:** Library science

**Page:** N.A

**View:** 3394

*Essays Towards a Neo-Fregean Philosophy of Mathematics*

**Author**: Bob Hale,Crispin Wright

**Publisher:** Oxford University Press

**ISBN:** 9780199266326

**Category:** Philosophy

**Page:** 455

**View:** 9658

Bob Hale and Crispin Wright draw together here the key writings in which they have worked out their distinctive neo-Fregean approach to the philosophy of mathematics. The two main components in Frege's mathematical philosophy were his platonism and his logicism - the claims, respectively, that mathematics is a body of knowledge about independently existing objects, and that this knowledge may be acquired on the basis of general logical laws and suitable definitions. The central thesis ofthis collection is that Frege was - his own eventual recantation notwithstanding - substantially right in both claims. Where neo-Fregeanism principally differs from Frege is in taking a more optimistic view of the kind of contextual explanation (proceeding via what are now commonly called abstraction principles) of the fundamental concepts of arithmetic and analysis which Frege considered and rejected. On this basis, neo-Fregeanism promises defensible and attractive answers to some of the most important ontological and epistemological questions in the philosophy of mathematics. In addition to fourteen previously published papers, the volume features a new paper on the Julius Caesar problem; a substantial new introduction mapping out the programme and the contributions made to it by the various papers; a postscript explaining which issues most require further attention; and bibliographies both of references and of further useful sources. The Reason's Proper Study will be recognized as the most powerful presentation yet of the neo-Fregean programme; it will prove indispensable reading not just to philosophers of mathematics but to all who are interested in the fundamental metaphysical and epistemological issues on which the programme impinges.

**Author**: A. D. Irvine

**Publisher:** Psychology Press

**ISBN:** 9780415130578

**Category:** Philosophy

**Page:** 340

**View:** 9032

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