Principia Mathematica to *56


Author: Alfred North Whitehead,Bertrand Russell
Publisher: Cambridge University Press
ISBN: 9780521626064
Category: Mathematics
Page: 410
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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,Bertrand Russell
Publisher: N.A
ISBN: N.A
Category: Logic, Symbolic and mathematical
Page: 167
View: 7699

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Future Sustainable Ecosystems

Complexity, Risk, and Uncertainty
Author: Nathaniel K Newlands
Publisher: CRC Press
ISBN: 131535666X
Category: Mathematics
Page: 389
View: 4348

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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.

The Evolution of Principia Mathematica

Bertrand Russell's Manuscripts and Notes for the Second Edition
Author: Bernard Linsky
Publisher: Cambridge University Press
ISBN: 1139497332
Category: Mathematics
Page: N.A
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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,Bertrand Russell
Publisher: Cambridge University Press
ISBN: 9780521067911
Category: Mathematics
Page: 1907
View: 9036

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Principia Mathematica was first published in 1910-13; this is the ninth impression of the second edition of 1925-7. The Principia has long been recognised as one of the intellectual landmarks of the century. It was the first book to show clearly the close relationship between mathematics and formal logic. Starting from a minimal number of axioms, Whitehead and Russell display the structure of both kinds of thought. No other book has had such an influence on the subsequent history of mathematical philosophy.

The Geometry of Moduli Spaces of Sheaves

A Publication of the Max-Planck-Institut für Mathematik, Bonn
Author: Daniel Huybrechts,Manfred Lehn
Publisher: Vieweg+Teubner Verlag
ISBN: 9783663116257
Category: Technology & Engineering
Page: 270
View: 3803

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This book is intended to serve as an introduction to the theory of semistable sheaves and at the same time to provide a survey of recent research results on the geometry of moduli spaces. The first part introduces the basic concepts in the theory: Hilbert polynomial, slope, stability, Harder-Narasimhan filtration, Grothendieck's Quot-scheme. It presents detailed proofs of the Grauert-Mülich Theorem, the Bogomolov Inequality, the semistability of tensor products, and the boundedness of the family of semistable sheaves. It also gives a self-contained account of the construction of moduli spaces of semistable sheaves on a projective variety à la Gieseker, Maruyama, and Simpson. The second part presents some of the recent results of the geometry of moduli spaces of sheaves on an algebraic surface, following work of Mukai, O'Grady, Gieseker, Li and many others. In particular, moduli spaces of sheaves on K3 surfaces and determinant line bundles on the moduli spaces are treated in some detail. Other topics include the Serre correspondence, restriction of stable bundles to curves, symplectic structures, irreducibility and Kodaira-dimension of moduli spaces.

The library and reading of Jonathan Swift

a bio-bibliographical handbook. Swift's library in four volumes
Author: Dirk Friedrich Passmann,Heinz J. Vienken
Publisher: N.A
ISBN: 9783631419267
Category: Literary Criticism
Page: N.A
View: 3683

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Newtons Werk

Die Begründung der modernen Naturwissenschaft
Author: FAUVEL,FLOOD,SHORTLAND,WILSON
Publisher: Springer-Verlag
ISBN: 3034862237
Category: Juvenile Nonfiction
Page: 325
View: 6343

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Twentieth-century Literary Criticism


Author: Gale Research Company
Publisher: N.A
ISBN: N.A
Category: Literature, Modern
Page: N.A
View: 8774

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Excerpts from criticism of the works of novelists, poets, playwrights, short story writers and other creative writers who lived between 1900 and 1960, from the first published critical appraisals to current evaluations.

Das Mathebuch

Von Pythagoras bis in die 57. Dimension. 250 Meilensteine in der Geschichte der Mathematik
Author: Clifford A. Pickover
Publisher: N.A
ISBN: 9789089982803
Category:
Page: 527
View: 5323

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