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Choice In Sequence
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Book Synopsis Elements of Intuitionism by : Michael Dummett
Download or read book Elements of Intuitionism written by Michael Dummett and published by Oxford University Press. This book was released on 2000 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a long-awaited new edition of one of the best known Oxford Logic Guides. The book gives an informal but thorough introduction to intuitionistic mathematics, leading the reader gently through the fundamental mathematical and philosophical concepts. The treatment of various topics has been completely revised for this second edition. Brouwer's proof of the Bar Theorem has been reworked, the account of valuation systems simplified, and the treatment of generalized Beth Trees and the completeness of intuitionistic first-order logic rewritten. Readers are assumed to have some knowledge of classical formal logic and a general awareness of the history of intuitionism.
Book Synopsis The Foundations of Intuitionistic Mathematics by : Lev D. Beklemishev
Download or read book The Foundations of Intuitionistic Mathematics written by Lev D. Beklemishev and published by Elsevier. This book was released on 2000-04-01 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Foundations of Intuitionistic Mathematics
Book Synopsis Gnomes in the Fog by : Dennis E. Hesseling
Download or read book Gnomes in the Fog written by Dennis E. Hesseling and published by Birkhäuser. This book was released on 2012-12-06 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: The significance of foundational debate in mathematics that took place in the 1920s seems to have been recognized only in circles of mathematicians and philosophers. A period in the history of mathematics when mathematics and philosophy, usually so far away from each other, seemed to meet. The foundational debate is presented with all its brilliant contributions and its shortcomings, its new ideas and its misunderstandings.
Book Synopsis Facing the Future by : Nuel D. Belnap
Download or read book Facing the Future written by Nuel D. Belnap and published by Oxford University Press, USA. This book was released on 2001 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this elucidating work, the authors attempt to construct a logical analysis of human actions, focusing on those actions based on choice. Using their examination of "seeing to it that," they investigate a large number of topics, including imperatives, deontic logic, strategies, determinism, and promising assertion. One of the work's provocative conclusions is that one, actual future does not exist; instead, all possible futures are on par with one another.
Book Synopsis Symbolic Simulation Methods for Industrial Formal Verification by : Robert B. Jones
Download or read book Symbolic Simulation Methods for Industrial Formal Verification written by Robert B. Jones and published by Springer Science & Business Media. This book was released on 2002-06-30 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains two distinct, but related, approaches to the verification problem, both based on symbolic simulation. It describes new ideas that enable the use of formal methods, specifically symbolic simulation, in validating commercial hardware designs of remarkable complexity.
Book Synopsis Inside Consumption by : S. Ratneshwar
Download or read book Inside Consumption written by S. Ratneshwar and published by Psychology Press. This book was released on 2005 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now that consumption has become the defining phenomenon of human life and society, this book addresses the effects of critical life events on consumption motives and the sociological and intergenerational influences on consumers.
Book Synopsis Enterprise, Business-Process and Information Systems Modeling by : Adriano Augusto
Download or read book Enterprise, Business-Process and Information Systems Modeling written by Adriano Augusto and published by Springer Nature. This book was released on 2021-06-16 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of two long-running events held along with the CAiSE conference relating to the areas of enterprise, business-process and information systems modeling: * the 22nd International Conference on Business Process Modeling, Development and Support, BPMDS 2021, and * the 26th International Conference on Exploring Modeling Methods for Systems Analysis and Development, EMMSAD 2021. The conferences were planned to take place in Melbourne, Australia, during June 28–29, 2021, but changed to an online format due to the COVID-19 pandemic. For BPMDS 10 full papers and 1 short paper were carefully reviewed and selected for publication from a total of 26 submissions; for EMMSAD 13 full papers and 1 short paper were accepted from 34 submissions. The papers were organized in topical sections as follows: BPMDS: Improving event data quality in coherence with business requirements; enhancing the value of data in processes improvement; event stream and predictive monitoring; modeling languages and reference models; EMMSAD: Enterprise modeling; handling models and modeling methods; threat and evidence modeling; and model-driven engineering and applications.
Book Synopsis Logic Colloquium '78, Proceedings of the colloquium held in Mons by : Lev D. Beklemishev
Download or read book Logic Colloquium '78, Proceedings of the colloquium held in Mons written by Lev D. Beklemishev and published by Elsevier. This book was released on 2000-04-01 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic Colloquium '78, Proceedings of the colloquium held in Mons
Book Synopsis The New Yearbook for Phenomenology and Phenomenological Philosophy by : Burt Hopkins
Download or read book The New Yearbook for Phenomenology and Phenomenological Philosophy written by Burt Hopkins and published by Routledge. This book was released on 2015-03-24 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: The New Yearbook for Phenomenology and Phenomenological Philosophy provides an annual international forum for phenomenological research in the spirit of Husserl's groundbreaking work and the extension of this work by such figures as Scheler, Heidegger, Sartre, Levinas, Merleau-Ponty and Gadamer.
Download or read book Logical Pluralism written by JC Beall and published by Oxford University Press. This book was released on 2006 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Consequence is at the heart of logic, and an account of consequence offers a vital tool in the evaluation of arguments. This text presents what the authors term as 'logical pluralism' arguing that the notion of logical consequence doesn't pin down one deductive consequence relation; it allows for many of them.
Book Synopsis Founding Mathematics on Semantic Conventions by : Casper Storm Hansen
Download or read book Founding Mathematics on Semantic Conventions written by Casper Storm Hansen and published by Springer Nature. This book was released on 2021-11-04 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a new nominalistic philosophy of mathematics: semantic conventionalism. Its central thesis is that mathematics should be founded on the human ability to create language – and specifically, the ability to institute conventions for the truth conditions of sentences. This philosophical stance leads to an alternative way of practicing mathematics: instead of “building” objects out of sets, a mathematician should introduce new syntactical sentence types, together with their truth conditions, as he or she develops a theory. Semantic conventionalism is justified first through criticism of Cantorian set theory, intuitionism, logicism, and predicativism; then on its own terms; and finally, exemplified by a detailed reconstruction of arithmetic and real analysis. Also included is a simple solution to the liar paradox and the other paradoxes that have traditionally been recognized as semantic. And since it is argued that mathematics is semantics, this solution also applies to Russell’s paradox and the other mathematical paradoxes of self-reference. In addition to philosophers who care about the metaphysics and epistemology of mathematics or the paradoxes of self-reference, this book should appeal to mathematicians interested in alternative approaches.
Book Synopsis Essays on Husserl's Logic and Philosophy of Mathematics by : Stefania Centrone
Download or read book Essays on Husserl's Logic and Philosophy of Mathematics written by Stefania Centrone and published by Springer. This book was released on 2017-09-07 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: Essays on Husserl’s Logic and Philosophy of Mathematics sets out to fill up a lacuna in the present research on Husserl by presenting a precise account of Husserl’s work in the field of logic, of the philosophy of logic and of the philosophy of mathematics. The aim is to provide an in-depth reconstruction and analysis of the discussion between Husserl and his most important interlocutors, and to clarify pivotal ideas of Husserl’s by considering their reception and elaboration by some of his disciples and followers, such as Oskar Becker and Jacob Klein, as well as their influence on some of the most significant logicians and mathematicians of the past century, such as Luitzen E. J. Brouwer, Rudolf Carnap, Kurt Gödel and Hermann Weyl. Most of the papers consider Husserl and another scholar – e.g. Leibniz, Kant, Bolzano, Brentano, Cantor, Frege – and trace out and contextualize lines of influence, points of contact, and points of disagreement. Each essay is written by an expert of the field, and the volume includes contributions both from the analytical tradition and from the phenomenological one.
Book Synopsis Modern Logic — A Survey by : E. Agazzi
Download or read book Modern Logic — A Survey written by E. Agazzi and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic has attained in our century a development incomparably greater than in any past age of its long history, and this has led to such an enrichment and proliferation of its aspects, that the problem of some kind of unified recom prehension of this discipline seems nowadays unavoidable. This splitting into several subdomains is the natural consequence of the fact that Logic has intended to adopt in our century the status of a science. This always implies that the general optics, under which a certain set of problems used to be con sidered, breaks into a lot of specialized sectors of inquiry, each of them being characterized by the introduction of specific viewpoints and of technical tools of its own. The first impression, that often accompanies the creation of one of such specialized branches in a diSCipline, is that one has succeeded in isolating the 'scientific core' of it, by restricting the somehow vague and redundant generality of its original 'philosophical' configuration. But, after a while, it appears that some of the discarded aspects are indeed important and a new specialized domain of investigation is created to explore them. By follOwing this procedure, one finally finds himself confronted with such a variety of independent fields of research, that one wonders whether the fact of labelling them under a common denomination be nothing but the contingent effect of a pure historical tradition.
Book Synopsis Philosophy of Mathematics by : Paul Benacerraf
Download or read book Philosophy of Mathematics written by Paul Benacerraf and published by Cambridge University Press. This book was released on 1984-01-27 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematical intuitionism' of Brouwer), a new foundational school (Hilbert's Formalism), and the profound incompleteness results of Kurt Gödel. In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Gödel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field.
Book Synopsis The History of Continua by : Stewart Shapiro
Download or read book The History of Continua written by Stewart Shapiro and published by Oxford University Press. This book was released on 2020-12-01 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical and philosophical thought about continuity has changed considerably over the ages. Aristotle insisted that continuous substances are not composed of points, and that they can only be divided into parts potentially. There is something viscous about the continuous. It is a unified whole. This is in stark contrast with the prevailing contemporary account, which takes a continuum to be composed of an uncountably infinite set of points. This vlume presents a collective study of key ideas and debates within this history. The opening chapters focus on the ancient world, covering the pre-Socratics, Plato, Aristotle, and Alexander. The treatment of the medieval period focuses on a (relatively) recently discovered manuscript, by Bradwardine, and its relation to medieval views before, during, and after Bradwardine's time. In the so-called early modern period, mathematicians developed the calculus and, with that, the rise of infinitesimal techniques, thus transforming the notion of continuity. The main figures treated here include Galileo, Cavalieri, Leibniz, and Kant. In the early party of the nineteenth century, Bolzano was one of the first important mathematicians and philosophers to insist that continua are composed of points, and he made a heroic attempt to come to grips with the underlying issues concerning the infinite. The two figures most responsible for the contemporary orthodoxy regarding continuity are Cantor and Dedekind. Each is treated in an article, investigating their precursors and influences in both mathematics and philosophy. A new chapter then provides a lucid analysis of the work of the mathematician Paul Du Bois-Reymond, to argue for a constructive account of continuity, in opposition to the dominant Dedekind-Cantor account. This leads to consideration of the contributions of Weyl, Brouwer, and Peirce, who once dubbed the notion of continuity "the master-key which . . . unlocks the arcana of philosophy". And we see that later in the twentieth century Whitehead presented a point-free, or gunky, account of continuity, showing how to recover points as a kind of "extensive abstraction". The final four chapters each focus on a more or less contemporary take on continuity that is outside the Dedekind-Cantor hegemony: a predicative approach, accounts that do not take continua to be composed of points, constructive approaches, and non-Archimedean accounts that make essential use of infinitesimals.
Book Synopsis Gödel's Disjunction by : Leon Horsten
Download or read book Gödel's Disjunction written by Leon Horsten and published by Oxford University Press. This book was released on 2016-09-09 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The logician Kurt Gödel in 1951 established a disjunctive thesis about the scope and limits of mathematical knowledge: either the mathematical mind is not equivalent to a Turing machine (i.e., a computer), or there are absolutely undecidable mathematical problems. In the second half of the twentieth century, attempts have been made to arrive at a stronger conclusion. In particular, arguments have been produced by the philosopher J.R. Lucas and by the physicist and mathematician Roger Penrose that intend to show that the mathematical mind is more powerful than any computer. These arguments, and counterarguments to them, have not convinced the logical and philosophical community. The reason for this is an insufficiency if rigour in the debate. The contributions in this volume move the debate forward by formulating rigorous frameworks and formally spelling out and evaluating arguments that bear on Gödel's disjunction in these frameworks. The contributions in this volume have been written by world leading experts in the field.
Book Synopsis Brouwer meets Husserl by : Mark van Atten
Download or read book Brouwer meets Husserl written by Mark van Atten and published by Springer Science & Business Media. This book was released on 2006-11-08 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: Can a line be analysed mathematically such a way that it does not fall apart into a set of discrete points? Are there objects of pure mathematics that can change through time? L. E. J. Brouwer argued that the two questions are related and that the answer to both is "yes", introducing the concept of choice sequences. This book subjects Brouwer's choice sequences to a phenomenological critique in the style of Husserl.
