Download or read book An Axiomatic Approach to the Law of Small Numbers written by Jawwad Noor and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Numbers Sets and Axioms written by A. G. Hamilton and published by Cambridge University Press. This book was released on 1982 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following the success of Logic for Mathematicians, Dr Hamilton has written a text for mathematicians and students of mathematics that contains a description and discussion of the fundamental conceptual and formal apparatus upon which modern pure mathematics relies. The author's intention is to remove some of the mystery that surrounds the foundations of mathematics. He emphasises the intuitive basis of mathematics; the basic notions are numbers and sets and they are considered both informally and formally. The role of axiom systems is part of the discussion but their limitations are pointed out. Formal set theory has its place in the book but Dr Hamilton recognises that this is a part of mathematics and not the basis on which it rests. Throughout, the abstract ideas are liberally illustrated by examples so this account should be well-suited, both specifically as a course text and, more broadly, as background reading. The reader is presumed to have some mathematical experience but no knowledge of mathematical logic is required.
Download or read book Laws of Small Numbers written by Michael Falk and published by Birkhauser. This book was released on 1994 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Entropy and Diversity written by Tom Leinster and published by Cambridge University Press. This book was released on 2021-04-22 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover the mathematical riches of 'what is diversity?' in a book that adds mathematical rigour to a vital ecological debate.
Download or read book Instrumental Biology Or The Disunity of Science written by Alexander Rosenberg and published by University of Chicago Press. This book was released on 1994-11 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Do the sciences aim to uncover the structure of nature, or are they ultimately a practical means of controlling our environment? In Instrumental Biology, or the Disunity of Science, Alexander Rosenberg argues that while physics and chemistry can develop laws that reveal the structure of natural phenomena, biology is fated to be a practical, instrumental discipline. Because of the complexity produced by natural selection, and because of the limits on human cognition, scientists are prevented from uncovering the basic structure of biological phenomena. Consequently, biology and all of the disciplines that rest upon it—psychology and the other human sciences—must aim at most to provide practical tools for coping with the natural world rather than a complete theoretical understanding of it.
Download or read book Non Bayesian Decision Theory written by Martin Peterson and published by Springer Science & Business Media. This book was released on 2008-06-06 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: For quite some time, philosophers, economists, and statisticians have endorsed a view on rational choice known as Bayesianism. The work on this book has grown out of a feeling that the Bayesian view has come to dominate the academic com- nitytosuchanextentthatalternative,non-Bayesianpositionsareseldomextensively researched. Needless to say, I think this is a pity. Non-Bayesian positions deserve to be examined with much greater care, and the present work is an attempt to defend what I believe to be a coherent and reasonably detailed non-Bayesian account of decision theory. The main thesis I defend can be summarised as follows. Rational agents m- imise subjective expected utility, but contrary to what is claimed by Bayesians, ut- ity and subjective probability should not be de?ned in terms of preferences over uncertain prospects. On the contrary, rational decision makers need only consider preferences over certain outcomes. It will be shown that utility and probability fu- tions derived in a non-Bayesian manner can be used for generating preferences over uncertain prospects, that support the principle of maximising subjective expected utility. To some extent, this non-Bayesian view gives an account of what modern - cision theory could have been like, had decision theorists not entered the Bayesian path discovered by Ramsey, de Finetti, Savage, and others. I will not discuss all previous non-Bayesian positions presented in the literature.
Download or read book Principia Mathematica written by Alfred North Whitehead and published by . This book was released on 1910 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Binary Bullets written by Fritz Allhoff and published by Oxford University Press. This book was released on 2016 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume explores a wide array of ethical issues surrounding the advent of cyberwarfare. The moral complexities presented by cyberwar are many and they challenge our traditional understandings of just war theory and the ethics of war. This volume directly addresses the pressing need for serious scholarly analysis of this new form of warfare.
Download or read book An Introduction to the History of Structural Mechanics written by Edoardo Benvenuto and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is one of the finest I have ever read. To write a foreword for it is an honor, difficult to accept. Everyone knows that architects and master masons, long before there were mathematical theories, erected structures of astonishing originality, strength, and beauty. Many of these still stand. Were it not for our now acid atmosphere, we could expect them to stand for centuries more. We admire early architects' visible success in the distribution and balance of thrusts, and we presume that master masons had rules, perhaps held secret, that enabled them to turn architects' bold designs into reality. Everyone knows that rational theories of strength and elasticity, created centuries later, were influenced by the wondrous buildings that men of the sixteenth, seventeenth, and eighteenth centuries saw daily. Theorists know that when, at last, theories began to appear, architects distrusted them, partly because they often disregarded details of importance in actual construction, partly because nobody but a mathematician could understand the aim and func tion of a mathematical theory designed to represent an aspect of nature. This book is the first to show how statics, strength of materials, and elasticity grew alongside existing architecture with its millenial traditions, its host of successes, its ever-renewing styles, and its numerous problems of maintenance and repair. In connection with studies toward repair of the dome of St. Peter's by Poleni in 1743, on p.
Download or read book Recent Advances in the Theory and Application of Fitness Landscapes written by Hendrik Richter and published by Springer Science & Business Media. This book was released on 2013-11-19 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with recent advances in fitness landscapes. The concept of fitness landscapes originates from theoretical biology and refers to a framework for analysing and visualizing the relationships between genotypes, phenotypes and fitness. These relationships lay at the centre of attempts to mathematically describe evolutionary processes and evolutionary dynamics. The book addresses recent advances in the understanding of fitness landscapes in evolutionary biology and evolutionary computation. In the volume, experts in the field of fitness landscapes present these findings in an integrated way to make it accessible to a number of audiences: senior undergraduate and graduate students in computer science, theoretical biology, physics, applied mathematics and engineering, but also researcher looking for a reference or/and entry point into using fitness landscapes for analysing algorithms. Also practitioners wanting to employ fitness landscape techniques for evaluating bio- and nature-inspired computing algorithms can find valuable material in the book. For teaching proposes, the book could also be used as a reference handbook.
Download or read book ICCWS2014 9th International Conference on Cyber Warfare Security written by Dr. Sam Liles and published by Academic Conferences Limited. This book was released on 2014-03-24 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advances in Decision Making Under Risk and Uncertainty written by Mohammed Abdellaoui and published by Springer Science & Business Media. This book was released on 2008-08-29 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: Whether we like it or not we all feel that the world is uncertain. From choosing a new technology to selecting a job, we rarely know in advance what outcome will result from our decisions. Unfortunately, the standard theory of choice under uncertainty developed in the early forties and fifties turns out to be too rigid to take many tricky issues of choice under uncertainty into account. The good news is that we have now moved away from the early descriptively inadequate modeling of behavior. This book brings the reader into contact with the accomplished progress in individual decision making through the most recent contributions to uncertainty modeling and behavioral decision making. It also introduces the reader into the many subtle issues to be resolved for rational choice under uncertainty.
Download or read book The Philosophy of Law written by Christopher Berry Grey and published by Routledge. This book was released on 2013-07-04 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: From articles centering on the detailed and doctrinal exposition of the law to those which reside almost wholly within the realm of philosophical ethics, this volume affords comprehensive treatment to both sides of the philosophico-legal equation. Systematic and sustained coverage of the many dimensions of legal thought gives ample expression to the true breadth and depth of the philosophy of law, with coverage of: The modes of knowing and the kinds of normativity used in the law; Studies in international, constitutional, criminal, administrative, persons and property, contracts and tort law-including their historical origins and worldwide ramifications; Current legal cultures such as common law and civilian, European, and Aboriginal; Influential jurisprudents and their biographies; All influential schools and methods
Download or read book Routledge Handbook of Bounded Rationality written by Riccardo Viale and published by Routledge. This book was released on 2020-12-02 with total page 681 pages. Available in PDF, EPUB and Kindle. Book excerpt: Herbert Simon’s renowned theory of bounded rationality is principally interested in cognitive constraints and environmental factors and influences which prevent people from thinking or behaving according to formal rationality. Simon’s theory has been expanded in numerous directions and taken up by various disciplines with an interest in how humans think and behave. This includes philosophy, psychology, neurocognitive sciences, economics, political science, sociology, management, and organization studies. The Routledge Handbook of Bounded Rationality draws together an international team of leading experts to survey the recent literature and the latest developments in these related fields. The chapters feature entries on key behavioural phenomena, including reasoning, judgement, decision making, uncertainty, risk, heuristics and biases, and fast and frugal heuristics. The text also examines current ideas such as fast and slow thinking, nudge, ecological rationality, evolutionary psychology, embodied cognition, and neurophilosophy. Overall, the volume serves to provide the most complete state-of-the-art collection on bounded rationality available. This book is essential reading for students and scholars of economics, psychology, neurocognitive sciences, political sciences, and philosophy.
Download or read book A Book of Set Theory written by Charles C Pinter and published by Courier Corporation. This book was released on 2014-07-23 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This accessible approach to set theory for upper-level undergraduates poses rigorous but simple arguments. Each definition is accompanied by commentary that motivates and explains new concepts. A historical introduction is followed by discussions of classes and sets, functions, natural and cardinal numbers, the arithmetic of ordinal numbers, and related topics. 1971 edition with new material by the author"--
Download or read book A Treatise of Legal Philosophy and General Jurisprudence written by Gerald J. Postema and published by Springer Science & Business Media. This book was released on 2011-08-05 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 11, the sixth of the historical volumes of A Treatise of Legal Philosophy and General Jurisprudence, offers a fresh, philosophically engaged, critical interpretation of the main currents of jurisprudential thought in the English-speaking world of the 20th century. It tells the tale of two lectures and their legacies: Oliver Wendell Holmes, Jr.’s “The Path of Law” (1897) and H.L.A. Hart’s Holmes Lecture, “Positivism and the Separation of Law and Morals” (1958). Holmes’s radical challenge to late 19th century legal science gave birth to a rich variety of competing approaches to understanding law and legal reasoning from realism to economic jurisprudence to legal pragmatism, from recovery of key elements of common law jurisprudence and rule of law doctrine in the work of Llewellyn, Fuller and Hayek to root-and-branch attacks on the ideology of law by the Critical Legal Studies and Feminist movements. Hart, simultaneously building upon and transforming the undations of Austinian analytic jurisprudence laid in the early 20th century, introduced rigorous philosophical method to English-speaking jurisprudence and offered a reinterpretation of legal positivism which set the agenda for analytic legal philosophy to the end of the century and beyond. A wide-ranging debate over the role of moral principles in legal reasoning, sparked by Dworkin’s fundamental challenge to Hart’s theory, generated competing interpretations of and fundamental challenges to core doctrines of Hart’s positivism, including the nature and role of conventions at the foundations of law and the methodology of philosophical jurisprudence.
Download or read book Neutrices and External Numbers written by Bruno Dinis and published by CRC Press. This book was released on 2019-07-03 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neutrices and External Numbers: A Flexible Number System introduces a new model of orders of magnitude and of error analysis, with particular emphasis on behaviour under algebraic operations. The model is formulated in terms of scalar neutrices and external numbers, in the form of an extension of the nonstandard set of real numbers. Many illustrative examples are given. The book starts with detailed presentation of the algebraic structure of external numbers, then deals with the generalized Dedekind completeness property, applications in analysis, domains of validity of approximations of solutions of differential equations, particularly singular perturbations. Finally, it describes the family of algebraic laws characterizing the practice of calculations with external numbers. Features Presents scalar neutrices and external numbers, a mathematical model of order of magnitude within the real number system. Outlines complete algebraic rules for the neutrices and external numbers Conducts operational analysis of convergence and integration of functions known up to orders of magnitude Formalises a calculus of error propagation, covariant with algebraic operations Presents mathematical models of phenomena incorporating their necessary imprecisions, in particular related to the Sorites paradox
