principia mathematica to *56 cambridge mathematical library

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Principia Mathematica To 56

Author : Alfred North Whitehead
ISBN : 0521626064
Genre : Mathematics
File Size : 55. 77 MB
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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).

Principia Mathematica

Author : Alfred North Whitehead
ISBN : STANFORD:36105039675058
Genre : Logic, Symbolic and mathematical
File Size : 77. 87 MB
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Mit Den Worten Rechnen

Author : Ulrike Ramming
ISBN : 9783839404430
Genre : Philosophy
File Size : 74. 47 MB
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Dieses Buch versucht, dem Begriff »Medien« einen systematischen Ort im Kanon des Fachs Philosophie zu geben. Zu diesem Zweck entwickelt die Autorin einen Begriff von Medien, der diese weniger unter dem Aspekt der Informationsvermittlung betrachtet als vielmehr deren transformativen Charakter betont. Exemplarisch wird er an einer zeitgenössischen Konzeption von Schrift vorgeführt, die sich nicht auf die Dimension von verschrifteter Sprache beschränkt, sondern auch logische Notationen oder Computersoftware mit umfasst. Detaillierte Analysen zentraler Arbeiten von Derrida, Wittgenstein und Goodman weisen auf, dass Medien als die nicht hintergehbare Bedingung der Möglichkeit von Sinn- und Bedeutungsgebung anzusehen sind. Die philosophische Behandlung von Medien leitet somit in eine allgemeine Theorie der Medialität über, die die Weisen unserer Erschließung von Wirklichkeit zum Gegenstand hat.

The Evolution Of Principia Mathematica

Author : Bernard Linsky
ISBN : 9781139497336
Genre : Mathematics
File Size : 81. 17 MB
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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.

Principia Mathematica

Author : Alfred North Whitehead
ISBN : 052106791X
Genre : Logic, Symbolic and mathematical
File Size : 50. 25 MB
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Intelligent Computer Mathematics

Author : Stephen M. Watt
ISBN : 9783319084343
Genre : Computers
File Size : 90. 72 MB
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This book constitutes the joint refereed proceedings of Calculemus 2014, Digital Mathematics Libraries, DML 2014, Mathematical Knowledge Management, MKM 2014 and Systems and Projects, S&P 2014, held in Coimbra, Portugal, during July 7-11, 2014 as four tracks of CICM 2014, the Conferences on Intelligent Computer Mathematics. The 26 full papers and 9 Systems and Projects descriptions presented together with 5 invited talks were carefully reviewed and selected from a total of 55 submissions. The Calculemus track of CICM examines the integration of symbolic computation and mechanized reasoning. The Digital Mathematics Libraries track - evolved from the DML workshop series - features math-aware technologies, standards, algorithms and processes towards the fulfillment of the dream of a global DML. The Mathematical Knowledge Management track of CICM is concerned with all aspects of managing mathematical knowledge in the informal, semi-formal and formal settings. The Systems and Projects track presents short descriptions of existing systems or on-going projects in the areas of all the other tracks of the conference.

Future Sustainable Ecosystems

Author : Nathaniel K Newlands
ISBN : 9781315356662
Genre : Mathematics
File Size : 61. 92 MB
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Future Sustainable Ecosystems: Complexity, Risk, Uncertainty provides an interdisciplinary, integrative overview of environmental problem-solving using statistics. It shows how statistics can be used to solve diverse environmental and socio-economic problems involving food, water, energy scarcity, and climate change risks. It synthesizes interdisciplinary theory, concepts, definitions, models and findings involved in complex global sustainability problem-solving, making it an essential guide and reference. It includes real-world examples and applications making the book accessible to a broader interdisciplinary readership. Discussions include a broad, integrated perspective on sustainability, integrated risk, multi-scale changes and impacts taking place within ecosystems worldwide. State-of-the-art statistical techniques, including Bayesian hierarchical, spatio-temporal, agent-based and game-theoretic approaches are explored. The author then focuses on the real-world integration of observational and experimental data and its use within statistical models. The book clarifies how complex adaptive systems theory frames sustainability as a probabilistic (i.e., stochastic) problem, highlighting the importance of adaptive policy, science and institutional arrangements, for strengthening ecosystem adaptation and resilience. The author elucidates how we must transform our thinking, illuminating the benefits and opportunities offered by the integrative risk approach to innovation and learning in the Cognitive/Risk Era. The book highlights the importance of statistics in guiding, designing and delivering real-world solutions and helping to unravel the complex array of tradeoffs, uncertainties, inter-dependencies and unforeseen risks.

A Second Course In Mathematical Analysis

Author : J. C. Burkill
ISBN : 0521523435
Genre : Mathematics
File Size : 48. 35 MB
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Classic calculus text reissued in Cambridge Mathematical Library. Clear, logical with many examples.

Integral Geometry And Geometric Probability

Author : Luis A. Santaló
ISBN : 0521523443
Genre : Mathematics
File Size : 49. 59 MB
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Classic text on integral geometry now available in paperback in the Cambridge Mathematical Library.

Hausdorff Measures

Author : C. A. Rogers
ISBN : 0521624916
Genre : Mathematics
File Size : 84. 97 MB
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When it was first published this was the first general account of Hausdorff measures, a subject that has important applications in many fields of mathematics. There are three chapters: the first contains an introduction to measure theory, paying particular attention to the study of non-s-finite measures. The second develops the most general aspects of the theory of Hausdorff measures, and the third gives a general survey of applications of Hausdorff measures followed by detailed accounts of two special applications. This edition has a foreword by Kenneth Falconer outlining the developments in measure theory since this book first appeared. Based on lectures given by the author at University College London, this book is ideal for graduate mathematicians with no previous knowledge of the subject, but experts in the field will also want a copy for their shelves.

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