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Author : Raymond M. Smullyan
Publisher : Unknown
Page : 396 pages
File Size : 47,6 Mb
Release : 1994
Category : Fixed point theory
ISBN : OCLC:1148850365
Author : Dov M. Gabbay,Franz Guenthner
Publisher : Springer Science & Business Media
Page : 348 pages
File Size : 52,6 Mb
Release : 2013-03-09
Category : Philosophy
ISBN : 9789401704663
It is with great pleasure that we are presenting to the community the second edition of this extraordinary handbook. It has been over 15 years since the publication of the first edition and there have been great changes in the landscape of philosophical logic since then. The first edition has proved invaluable to generations of students and researchers in formal philosophy and language, as well as to consumers of logic in many applied areas. The main logic article in the Encyclopaedia Britannica 1999 has described the first edition as 'the best starting point for exploring any of the topics in logic'. We are confident that the second edition will prove to be just as good! The first edition was the second handbook published for the logic commu nity. It followed the North Holland one volume Handbook of Mathematical Logic, published in 1977, edited by the late Jon Barwise. The four volume Handbook of Philosophical Logic, published 1983-1989 came at a fortunate temporal junction at the evolution of logic. This was the time when logic was gaining ground in computer science and artificial intelligence circles. These areas were under increasing commercial pressure to provide devices which help and/or replace the human in his daily activity. This pressure required the use of logic in the modelling of human activity and organisa tion on the one hand and to provide the theoretical basis for the computer program constructs on the other.
Author : Melvin Fitting,Brian Rayman
Publisher : Springer
Page : 195 pages
File Size : 41,6 Mb
Release : 2018-01-11
Category : Philosophy
ISBN : 9783319687322
This book collects, for the first time in one volume, contributions honoring Professor Raymond Smullyan’s work on self-reference. It serves not only as a tribute to one of the great thinkers in logic, but also as a celebration of self-reference in general, to be enjoyed by all lovers of this field. Raymond Smullyan, mathematician, philosopher, musician and inventor of logic puzzles, made a lasting impact on the study of mathematical logic; accordingly, this book spans the many personalities through which Professor Smullyan operated, offering extensions and re-evaluations of his academic work on self-reference, applying self-referential logic to art and nature, and lastly, offering new puzzles designed to communicate otherwise esoteric concepts in mathematical logic, in the manner for which Professor Smullyan was so well known. This book is suitable for students, scholars and logicians who are interested in learning more about Raymond Smullyan's work and life.
Author : S.J. Bartlett,P. Suber
Publisher : Springer Science & Business Media
Page : 365 pages
File Size : 53,6 Mb
Release : 2012-12-06
Category : Philosophy
ISBN : 9789400935518
Self-reference, although a topic studied by some philosophers and known to a number of other disciplines, has received comparatively little explicit attention. For the most part the focus of studies of self-reference has been on its logical and linguistic aspects, with perhaps disproportionate emphasis placed on the reflexive paradoxes. The eight-volume Macmillan Encyclopedia of Philosophy, for example, does not contain a single entry in its index under "self-reference", and in connection with "reflexivity" mentions only "relations", "classes", and "sets". Yet, in this volume, the introductory essay identifies some 75 varieties and occurrences of self-reference in a wide range of disciplines, and the bibliography contains more than 1,200 citations to English language works about reflexivity. The contributed papers investigate a number of forms and applications of self-reference, and examine some of the challenges posed by its difficult temperament. The editors hope that readers of this volume will gain a richer sense of the sti11largely unexplored frontiers of reflexivity, and of the indispensability of reflexive concepts and methods to foundational inquiries in philosophy, logic, language, and into the freedom, personality and intelligence of persons.
Author : Paulo Guilherme Santos
Publisher : Springer Nature
Page : 89 pages
File Size : 47,6 Mb
Release : 2020-01-04
Category : Mathematics
ISBN : 9783658291112
In this book, Paulo Guilherme Santos studies diagonalization in formal mathematics from logical aspects to everyday mathematics. He starts with a study of the diagonalization lemma and its relation to the strong diagonalization lemma. After that, Yablo’s paradox is examined, and a self-referential interpretation is given. From that, a general structure of diagonalization with paradoxes is presented. Finally, the author studies a general theory of diagonalization with the help of examples from mathematics.
Author : Thomas Bolander,Vincent F. Hendricks,Stig Andur Pedersen
Publisher : Center for the Study of Language and Information Publica Tion
Page : 204 pages
File Size : 53,8 Mb
Release : 2006
Category : Reference (Philosophy).
ISBN : UCSC:32106018418167
Publisher description
Author : Raymond M. Smullyan
Publisher : Oxford Logic Guides
Page : 0 pages
File Size : 46,8 Mb
Release : 1994
Category : Language Arts & Disciplines
ISBN : 0198534507
The main purpose of this book is to present a unified treatment of fixed points as they occur in Godel's incompleteness proofs, recursion theory, combinatory logic, semantics, and metamathematics. The book provides a survey of introductory material and a summary of recent research. The firstchapters are of an introductory nature and consist mainly of exercises with solutions given to most of them.
Author : Serena Sandri
Publisher : Springer Science & Business Media
Page : 206 pages
File Size : 42,9 Mb
Release : 2008-11-30
Category : Business & Economics
ISBN : 9783790820928
Since the individuals are not just stimulus-response machines but more complex beings that think and are simultaneously conscious of their thought, re?exivity is potentially involved in all human acts of cognition and in all conceptualizations. On this basis, each human discourse can be characterized as a way of thought f- mulation and therefore, reveals a self-referring nature. On this level of re?exivity, the individual thought shapes beliefs and mental representations which give life to mental models and strive to predict future events and developments to support the individuals in their decision-making. Such mental models are re?ected by the - dividuals themselves and on the situation they are confronted with. According to the result of this recursive application, the individuals will then decide which model they want to refer to, or in other words, which model they want to absorb. Similarly, the individuals can make use of social theories and predictions which can therefore yield recursive effects and interfere with the phenomena they aim to depict. Revealed theories, if accepted, may in?uence the behaviour or the agents they focus on, either in the sense of validation of the theoretical content or in that of its rejection.
Author : Anonim
Publisher : PediaPress
Page : 683 pages
File Size : 53,8 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 8210379456XXX
Author : Dan Braha,Marcus A. M. de Aguiar,Carlos Gershenson,Alfredo J. Morales,Les Kaufman,Elena N. Naumova,Ali A. Minai,Yaneer Bar-Yam
Publisher : Springer Nature
Page : 446 pages
File Size : 40,6 Mb
Release : 2021-06-14
Category : Mathematics
ISBN : 9783030673185
The International Conference on Complex Systems (ICCS) offers a unique interdisciplinary venue for researchers from the physical and biological sciences, social sciences, psychology and cognitive science, engineering, medicine, human systems, and global systems. This proceedings volume gathers selected papers from the conference. The New England Complex Systems Institute (NECSI) has been instrumental in the development of complex systems science and its applications. NECSI pursues research, education, knowledge dissemination, and community development efforts around the world to promote the study of complex systems and its application for the benefit of society. NECSI hosts the International Conference on Complex Systems and publishes the NECSI Book.
Author : Albert Peter Pacelli
Publisher : Wipf and Stock Publishers
Page : 368 pages
File Size : 42,6 Mb
Release : 2017-10-03
Category : Philosophy
ISBN : 9781532632853
What do we mean when we say that something is? What is the meaning of human experience? These two most elementary philosophical questions have perplexed thinkers for thousands of years. Being and Intelligibility explores them from the simple premise that all entities are essentially logical in their being. The book develops its three central theses: that the beingness of beings, called “Being,” and the intelligibility of Being are one and the same; that nothingness (i.e., absolute not-Being) is self-contradictory and unintelligible and, therefore, Being is logically necessary; and that the fullness of human rational experience cannot be explained in materially reducible terms and requires recognition of the existence of transcendent reality, which includes God (as self-grounding good will), moral obligation and freedom, and the souls of men. Being and Intelligibility thoroughly investigates the implications of the essential logicality of Being, including that human Being shows itself to itself from within itself as a substantive, persistent, morally obligated unity among the ordered manifold of its life experiences, whose essential Being is orientation toward God.
Author : Gábor Forrai,György Kampis
Publisher : Rodopi
Page : 207 pages
File Size : 47,8 Mb
Release : 2005
Category : Philosophy
ISBN : 9789042018174
This book contains eleven original papers about intentionality. Some explore current problems such as the status of intentional content, the intentionality of perception and emotion, the connections between intentionality and normativity, the relationship between intentionality and consciousness, the characteristics of the intentional idiom. Others discuss the work of historical figures like Locke, Brentano, Husserl and Frege.
Author : Raymond M. Smullyan
Publisher : Knopf
Page : 281 pages
File Size : 47,5 Mb
Release : 2012-05-30
Category : Games & Activities
ISBN : 9780307819826
More than two hundred new and challenging logic puzzles—the simplest brainteaser to the most complex paradoxes in contemporary mathematical thinking—from our topmost puzzlemaster (“the most entertaining logician who ever lived,” Martin Gardner has called him). Our guide to the puzzles is the Sorcerer, who resides on the Island of Knights and Knaves, where knights always tell the truth and knaves always lie, and he introduces us to the amazing magic—logic—that enables to discover which inhabitants are which. Then, in a picaresque adventure in logic, he takes us to the planet Og, to the Island of Partial Silence, and to a land where metallic robots wearing strings of capital letters are noisily duplicating and dismantling themselves and others. The reader’s job is to figure out how it all works. Finally, we accompany the Sorcerer on an alluring tour of Infinity which includes George Cantor’s amazing mathematical insights. The tour (and the book) ends with Satan devising a diabolical puzzle for one of Cantor’s prize students—who outwits him! In sum: a devilish magician’s cornucopia of puzzles—a delight for every age and level of ability.
Author : Roy T Cook
Publisher : OUP Oxford
Page : 192 pages
File Size : 51,6 Mb
Release : 2014-05-29
Category : Philosophy
ISBN : 9780191648380
Roy T Cook examines the Yablo paradox—a paradoxical, infinite sequence of sentences, each of which entails the falsity of all others later than it in the sequence—with special attention paid to the idea that this paradox provides us with a semantic paradox that involves no circularity. The three main chapters of the book focus, respectively, on three questions that can be (and have been) asked about the Yablo construction. First we have the Characterization Problem, which asks what patterns of sentential reference (circular or not) generate semantic paradoxes. Addressing this problem requires an interesting and fruitful detour through the theory of directed graphs, allowing us to draw interesting connections between philosophical problems and purely mathematical ones. Next is the Circularity Question, which addresses whether or not the Yablo paradox is genuinely non-circular. Answering this question is complicated: although the original formulation of the Yablo paradox is circular, it turns out that it is not circular in any sense that can bear the blame for the paradox. Further, formulations of the paradox using infinitary conjunction provide genuinely non-circular constructions. Finally, Cook turns his attention to the Generalizability Question: can the Yabloesque pattern be used to generate genuinely non-circular variants of other paradoxes, such as epistemic and set-theoretic paradoxes? Cook argues that although there are general constructions-unwindings—that transform circular constructions into Yablo-like sequences, it turns out that these sorts of constructions are not 'well-behaved' when transferred from semantic puzzles to puzzles of other sorts. He concludes with a short discussion of the connections between the Yablo paradox and the Curry paradox.
Author : Teofilo Gonzalez,Jorge Diaz-Herrera,Allen Tucker
Publisher : CRC Press
Page : 2326 pages
File Size : 46,9 Mb
Release : 2014-05-07
Category : Computers
ISBN : 9781439898536
The first volume of this popular handbook mirrors the modern taxonomy of computer science and software engineering as described by the Association for Computing Machinery (ACM) and the IEEE Computer Society (IEEE-CS). Written by established leading experts and influential young researchers, it examines the elements involved in designing and implementing software, new areas in which computers are being used, and ways to solve computing problems. The book also explores our current understanding of software engineering and its effect on the practice of software development and the education of software professionals.
