Temporal Logic From Philosophy And Proof Theory To Artificial Intelligence And Quantum Computing
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Temporal Logic From Philosophy And Proof Theory To Artificial Intelligence And Quantum Computing
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Author : Klaus Mainzer
language : en
Publisher: World Scientific
Release Date : 2023-05-12
Temporal Logic From Philosophy And Proof Theory To Artificial Intelligence And Quantum Computing written by Klaus Mainzer and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-12 with Mathematics categories.
Calculi of temporal logic are widely used in modern computer science. The temporal organization of information flows in the different architectures of laptops, the Internet, or supercomputers would not be possible without appropriate temporal calculi. In the age of digitalization and High-Tech applications, people are often not aware that temporal logic is deeply rooted in the philosophy of modalities. A deep understanding of these roots opens avenues to the modern calculi of temporal logic which have emerged by extension of modal logic with temporal operators. Computationally, temporal operators can be introduced in different formalisms with increasing complexity such as Basic Modal Logic (BML), Linear-Time Temporal Logic (LTL), Computation Tree Logic (CTL), and Full Computation Tree Logic (CTL*). Proof-theoretically, these formalisms of temporal logic can be interpreted by the sequent calculus of Gentzen, the tableau-based calculus, automata-based calculus, game-based calculus, and dialogue-based calculus with different advantages for different purposes, especially in computer science.The book culminates in an outlook on trendsetting applications of temporal logics in future technologies such as artificial intelligence and quantum technology. However, it will not be sufficient, as in traditional temporal logic, to start from the everyday understanding of time. Since the 20th century, physics has fundamentally changed the modern understanding of time, which now also determines technology. In temporal logic, we are only just beginning to grasp these differences in proof theory which needs interdisciplinary cooperation of proof theory, computer science, physics, technology, and philosophy.
Limits Of Ai Theoretical Practical Ethical
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Author : Klaus Mainzer
language : en
Publisher: Springer Nature
Release Date : 2024-03-31
Limits Of Ai Theoretical Practical Ethical written by Klaus Mainzer and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-31 with Computers categories.
Artificial intelligence is a key technology with great expectations in science, industry, and everyday life. This book discusses both the perspectives and the limitations of this technology. This concerns the practical, theoretical, and conceptual challenges that AI has to face. In an early phase of symbolic AI, AI focused on formal programs (e.g., expert systems), in which rule-based knowledge was processed with the help of symbolic logic. Today, AI is dominated by statistics-based machine learning methods and Big Data. While this sub-symbolic AI is extremely successful (e.g., chatbots like ChatGPT), it is often not transparent. The book argues for explainable and reliable AI, in which the logical and mathematical foundations of AI-algorithms become understandable and verifiable.
Process And Time
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Author : William Sulis
language : en
Publisher: World Scientific
Release Date : 2025-03-11
Process And Time written by William Sulis and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-11 with Science categories.
In this book, an alternative to the timeless view of time is presented, based on ideas of process, organism, and a constructed reality in which temporal becoming provides the foundation of all experience and events. The classical arguments are analyzed from the worldview perspective and found to be lacking. Ideas of process proposed by Bergson, Whitehead, Arthur, Trofimova, and Sulis are presented, suggesting a new, processist worldview. This book will show that a time based on local becoming is entirely compatible with physics, especially quantum mechanics, through a model based on process algebra. Some general features of the temporal ordering associated with local becoming are also presented.Recent popularizations of physics have fallen prey to sensationalism, emphasizing the conceptual challenges of understanding quantum phenomena while fostering a sense of inscrutability. Instead of challenging our fundamental conceptions of reality, the popular literature has been challenging the existence of reality itself. This book runs counter to this trend and attempts to put reality and time back into physics, avoiding quasi-mysticism when thinking about the nature of quantum phenomena. It aims to show that arguments in philosophy and physics purporting to prove the non-existence of time are flawed, describing the nature of models and theories of time, but not time itself.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2002
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
An Inquiry On Modal Metaphysical Puzzling Possible Worlds
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Author : Valery Berthoud
language : en
Publisher: Anchor Academic Publishing
Release Date : 2017-11-01
An Inquiry On Modal Metaphysical Puzzling Possible Worlds written by Valery Berthoud and has been published by Anchor Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-01 with Philosophy categories.
The concept of possible worlds is useful because it defines the four modalities – possibility, necessity, contingency, and impossibility – but a challenge lies in defining it. David Lewis’ polemical hypothesis (“genuine modal realism” as it is called) succeeds in it. Lewis’ modal realism stirred controversy because he maintains that a plurality of worlds exists. Some philosophers suggest that the Lewisian view is a violation to the law of parsimony, also known as Ockham’s Razor, i.e. not multiply entities beyond necessity. While avoiding a circular definition, Lewis constructs an inflated ontology. Is it worth it, and if we do not want to assume too many Lewisian worlds, what alternatives remain? Actualist modal realism and modal antirealism are the most relevant alternatives because modal abstentionism simply will not progress in this direction. This study evaluates the theories of possible worlds.
Subject Guide To Books In Print
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Author :
language : en
Publisher:
Release Date : 1996
Subject Guide To Books In Print written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with American literature categories.
Category Theory
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Author : Zoran Majkic
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-03-06
Category Theory written by Zoran Majkic and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-06 with Computers categories.
This book analyzes the generation of the arrow-categories of a given category, which is a foundational and distinguishable Category Theory phenomena, in analogy to the foundational role of sets in the traditional set-based Mathematics, for defi nition of natural numbers as well. This inductive transformation of a category into the infinite hierarchy of the arrowcategories is extended to the functors and natural transformations. The author considers invariant categorial properties (the symmetries) under such inductive transformations. The book focuses in particular on Global symmetry (invariance of adjunctions) and Internal symmetries between arrows and objects in a category (in analogy to Field Theories like Quantum Mechanics and General Relativity). The second part of the book is dedicated to more advanced applications of Internal symmetry to Computer Science: for Intuitionistic Logic, Untyped Lambda Calculus with Fixpoint Operators, Labeled Transition Systems in Process Algebras and Modal logics as well as Data Integration Theory.
Cumulative Book Index
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Author :
language : en
Publisher:
Release Date : 1990
Cumulative Book Index written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with American literature categories.
A world list of books in the English language.
The Philosopher S Index
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Author :
language : en
Publisher:
Release Date : 1988
The Philosopher S Index written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Philosophy categories.
Theory Of Knowledge Structures And Processes
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Author : Mark Burgin
language : en
Publisher: World Scientific
Release Date : 2016-10-27
Theory Of Knowledge Structures And Processes written by Mark Burgin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-27 with Business & Economics categories.
This book aims to synthesize different directions in knowledge studies into a unified theory of knowledge and knowledge processes. It explicates important relations between knowledge and information. It provides the readers with understanding of the essence and structure of knowledge, explicating operations and process that are based on knowledge and vital for society.The book also highlights how the theory of knowledge paves the way for more advanced design and utilization of computers and networks.