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Diagonalization And Self Reference


Diagonalization And Self Reference
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Diagonalization And Self Reference


Diagonalization And Self Reference
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Author : Raymond M. Smullyan
language : en
Publisher:
Release Date : 1994

Diagonalization And Self Reference written by Raymond M. Smullyan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Fixed point theory categories.




Diagonalization In Formal Mathematics


Diagonalization In Formal Mathematics
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Author : Paulo Guilherme Santos
language : en
Publisher: Springer Nature
Release Date : 2020-01-04

Diagonalization In Formal Mathematics written by Paulo Guilherme Santos and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-04 with Mathematics categories.


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.



Diagonalization And Self Reference


Diagonalization And Self Reference
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Author : Raymond M. Smullyan
language : en
Publisher: Oxford Logic Guides
Release Date : 1994

Diagonalization And Self Reference written by Raymond M. Smullyan and has been published by Oxford Logic Guides this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Language Arts & Disciplines categories.


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.



Raymond Smullyan On Self Reference


Raymond Smullyan On Self Reference
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Author : Melvin Fitting
language : en
Publisher: Springer
Release Date : 2018-01-11

Raymond Smullyan On Self Reference written by Melvin Fitting and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-11 with Philosophy categories.


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.



Handbook Of Philosophical Logic


Handbook Of Philosophical Logic
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Author : Dov M. Gabbay
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Handbook Of Philosophical Logic written by Dov M. Gabbay and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Philosophy categories.


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.



Self Reference


Self Reference
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Author : S.J. Bartlett
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Self Reference written by S.J. Bartlett and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Philosophy categories.


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.



Self Reference


Self Reference
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Author : Thomas Bolander
language : en
Publisher: Center for the Study of Language and Information Publica Tion
Release Date : 2006

Self Reference written by Thomas Bolander and has been published by Center for the Study of Language and Information Publica Tion this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Reference (Philosophy). categories.


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Reflexivity In Economics


Reflexivity In Economics
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Author : Serena Sandri
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-11-30

Reflexivity In Economics written by Serena Sandri and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-30 with Business & Economics categories.


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.



Being And Intelligibility


Being And Intelligibility
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Author : Albert Peter Pacelli
language : en
Publisher: Wipf and Stock Publishers
Release Date : 2017-10-03

Being And Intelligibility written by Albert Peter Pacelli and has been published by Wipf and Stock Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-03 with Philosophy categories.


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.



Paradoxes


Paradoxes
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Author :
language : en
Publisher: PediaPress
Release Date :

Paradoxes written by and has been published by PediaPress this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.