Non Axiomatic Logic
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Author |
: Pei Wang |
Publisher |
: World Scientific |
Total Pages |
: 275 |
Release |
: 2013 |
ISBN-10 |
: 9789814440288 |
ISBN-13 |
: 9814440280 |
Rating |
: 4/5 (88 Downloads) |
Synopsis Non-axiomatic Logic by : Pei Wang
This book provides a systematic and comprehensive description of Non-Axiomatic Logic, which is the result of the author''s research for about three decades.Non-Axiomatic Logic is designed to provide a uniform logical foundation for Artificial Intelligence, as well as an abstract description of the OC laws of thoughtOCO followed by the human mind. Different from OC mathematicalOCO logic, where the focus is the regularity required when demonstrating mathematical conclusions, Non-Axiomatic Logic is an attempt to return to the original aim of logic, that is, to formulate the regularity in actual human thinking. To achieve this goal, the logic is designed under the assumption that the system has insufficient knowledge and resources with respect to the problems to be solved, so that the OC logical conclusionsOCO are only valid with respect to the available knowledge and resources. Reasoning processes according to this logic covers cognitive functions like learning, planning, decision making, problem solving, This book is written for researchers and students in Artificial Intelligence and Cognitive Science, and can be used as a textbook for courses at graduate level, or upper-level undergraduate, on Non-Axiomatic Logic."
Author |
: Alfred North Whitehead |
Publisher |
: |
Total Pages |
: 688 |
Release |
: 1910 |
ISBN-10 |
: UOM:39015002922881 |
ISBN-13 |
: |
Rating |
: 4/5 (81 Downloads) |
Synopsis Principia Mathematica by : Alfred North Whitehead
Author |
: Christopher C. Leary |
Publisher |
: Lulu.com |
Total Pages |
: 382 |
Release |
: 2015 |
ISBN-10 |
: 9781942341079 |
ISBN-13 |
: 1942341075 |
Rating |
: 4/5 (79 Downloads) |
Synopsis A Friendly Introduction to Mathematical Logic by : Christopher C. Leary
At the intersection of mathematics, computer science, and philosophy, mathematical logic examines the power and limitations of formal mathematical thinking. In this expansion of Leary's user-friendly 1st edition, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory. The text is designed to be used either in an upper division undergraduate classroom, or for self study. Updating the 1st Edition's treatment of languages, structures, and deductions, leading to rigorous proofs of Gödel's First and Second Incompleteness Theorems, the expanded 2nd Edition includes a new introduction to incompleteness through computability as well as solutions to selected exercises.
Author |
: Pei Wang |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 420 |
Release |
: 2006-09-01 |
ISBN-10 |
: 9781402050459 |
ISBN-13 |
: 1402050453 |
Rating |
: 4/5 (59 Downloads) |
Synopsis Rigid Flexibility by : Pei Wang
This book is the most comprehensive description of the decades-long Non-Axiomatic Reasoning System (NARS) project, including its philosophical foundation, methodological consideration, conceptual design details, implications in the related fields, and its similarities and differences to many related works in cognitive science. While most current works in Artificial Intelligence (AI) focus on individual aspects of intelligence and cognition, NARS is designed and developed to attack the AI problem as a whole.
Author |
: Eric Schechter |
Publisher |
: Princeton University Press |
Total Pages |
: 530 |
Release |
: 2005-08-28 |
ISBN-10 |
: 0691122792 |
ISBN-13 |
: 9780691122793 |
Rating |
: 4/5 (92 Downloads) |
Synopsis Classical and Nonclassical Logics by : Eric Schechter
Classical logic is traditionally introduced by itself, but that makes it seem arbitrary and unnatural. This text introduces classical alongside several nonclassical logics (relevant, constructive, quantative, paraconsistent).
Author |
: Pei Wang |
Publisher |
: World Scientific |
Total Pages |
: 275 |
Release |
: 2013-05-03 |
ISBN-10 |
: 9789814440295 |
ISBN-13 |
: 9814440299 |
Rating |
: 4/5 (95 Downloads) |
Synopsis Non-axiomatic Logic: A Model Of Intelligent Reasoning by : Pei Wang
This book provides a systematic and comprehensive description of Non-Axiomatic Logic, which is the result of the author's research for about three decades.Non-Axiomatic Logic is designed to provide a uniform logical foundation for Artificial Intelligence, as well as an abstract description of the “laws of thought” followed by the human mind. Different from “mathematical” logic, where the focus is the regularity required when demonstrating mathematical conclusions, Non-Axiomatic Logic is an attempt to return to the original aim of logic, that is, to formulate the regularity in actual human thinking. To achieve this goal, the logic is designed under the assumption that the system has insufficient knowledge and resources with respect to the problems to be solved, so that the “logical conclusions” are only valid with respect to the available knowledge and resources. Reasoning processes according to this logic covers cognitive functions like learning, planning, decision making, problem solving, etc.This book is written for researchers and students in Artificial Intelligence and Cognitive Science, and can be used as a textbook for courses at graduate level, or upper-level undergraduate, on Non-Axiomatic Logic.
Author |
: Patrick Suppes |
Publisher |
: Courier Corporation |
Total Pages |
: 290 |
Release |
: 2012-05-04 |
ISBN-10 |
: 9780486136875 |
ISBN-13 |
: 0486136876 |
Rating |
: 4/5 (75 Downloads) |
Synopsis Axiomatic Set Theory by : Patrick Suppes
Geared toward upper-level undergraduates and graduate students, this treatment examines the basic paradoxes and history of set theory and advanced topics such as relations and functions, equipollence, more. 1960 edition.
Author |
: J. Barkley Rosser |
Publisher |
: Courier Dover Publications |
Total Pages |
: 587 |
Release |
: 2008-12-18 |
ISBN-10 |
: 9780486468983 |
ISBN-13 |
: 0486468984 |
Rating |
: 4/5 (83 Downloads) |
Synopsis Logic for Mathematicians by : J. Barkley Rosser
Examination of essential topics and theorems assumes no background in logic. "Undoubtedly a major addition to the literature of mathematical logic." — Bulletin of the American Mathematical Society. 1978 edition.
Author |
: Craig DeLancey |
Publisher |
: Open SUNY Textbooks |
Total Pages |
: |
Release |
: 2017-02-06 |
ISBN-10 |
: 1942341431 |
ISBN-13 |
: 9781942341437 |
Rating |
: 4/5 (31 Downloads) |
Synopsis A Concise Introduction to Logic by : Craig DeLancey
Author |
: Elliot Mendelsohn |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 351 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9781461572886 |
ISBN-13 |
: 1461572886 |
Rating |
: 4/5 (86 Downloads) |
Synopsis Introduction to Mathematical Logic by : Elliot Mendelsohn
This is a compact mtroduction to some of the pnncipal tOpICS of mathematical logic . In the belief that beginners should be exposed to the most natural and easiest proofs, I have used free-swinging set-theoretic methods. The significance of a demand for constructive proofs can be evaluated only after a certain amount of experience with mathematical logic has been obtained. If we are to be expelled from "Cantor's paradise" (as nonconstructive set theory was called by Hilbert), at least we should know what we are missing. The major changes in this new edition are the following. (1) In Chapter 5, Effective Computability, Turing-computabIlity IS now the central notion, and diagrams (flow-charts) are used to construct Turing machines. There are also treatments of Markov algorithms, Herbrand-Godel-computability, register machines, and random access machines. Recursion theory is gone into a little more deeply, including the s-m-n theorem, the recursion theorem, and Rice's Theorem. (2) The proofs of the Incompleteness Theorems are now based upon the Diagonalization Lemma. Lob's Theorem and its connection with Godel's Second Theorem are also studied. (3) In Chapter 2, Quantification Theory, Henkin's proof of the completeness theorem has been postponed until the reader has gained more experience in proof techniques. The exposition of the proof itself has been improved by breaking it down into smaller pieces and using the notion of a scapegoat theory. There is also an entirely new section on semantic trees.