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Author: V. P. Orevkov
Publisher: University of Pennsylvania Press
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 252
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Author: V. P. Orevkov
Publisher: University of Pennsylvania Press
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 252
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Book Description
Author: Alonzo Church
Publisher: Princeton University Press
ISBN: 9780691083940
Category : Mathematics
Languages : en
Pages : 112
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Book Description
The description for this book, The Calculi of Lambda Conversion. (AM-6), Volume 6, will be forthcoming.
Author: Langer
Publisher: Courier Corporation
ISBN: 9780486601649
Category : Mathematics
Languages : en
Pages : 388
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Book Description
Famous classic has introduced countless readers to symbolic logic with its thorough and precise exposition. Starts with simple symbols and conventions and concludes with the Boole-Schroeder and Russell-Whitehead systems. No special knowledge of mathematics necessary. "One of the clearest and simplest introductions to a subject which is very much alive." — Mathematics Gazette.
Author: Charles L. Silver
Publisher: WCB/McGraw-Hill
ISBN:
Category : Mathematics
Languages : en
Pages : 408
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Book Description
This text aims to unify mathematical logic and symbolic logic, and outlines how mathematical logic emerged from symbolic logic. Derivations are extended to encompass mathematical principles. Godel's theorems are covered, including philosophical and historical issues.
Author: Arthur Thomas Shearman
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 264
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Author: Alonzo Church
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 140
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Book Description
Author: Clarence Irving Lewis
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 440
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Book Description
Author: E.W. Beth
Publisher: Springer Science & Business Media
ISBN: 9401032696
Category : Philosophy
Languages : en
Pages : 184
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Book Description
Many philosophers have considered logical reasoning as an inborn ability of mankind and as a distinctive feature in the human mind; but we all know that the distribution of this capacity, or at any rate its development, is very unequal. Few people are able to set up a cogent argument; others are at least able to follow a logical argument and even to detect logical fallacies. Nevertheless, even among educated persons there are many who do not even attain this relatively modest level of development. According to my personal observations, lack of logical ability may be due to various circumstances. In the first place, I mention lack of general intelligence, insufficient power of concentration, and absence of formal education. Secondly, however, I have noticed that many people are unable, or sometimes rather unwilling, to argue ex hypothesi; such persons cannot, or will not, start from premisses which they know or believe to be false or even from premisses whose truth is not, in their opinion, sufficient ly warranted. Or, if they agree to start from such premisses, they sooner or later stray away from the argument into attempts first to settle the truth or falsehood of the premisses. Presumably this attitude results either from lack of imagination or from undue moral rectitude. On the other hand, proficiency in logical reasoning is not in itself a guarantee for a clear theoretic insight into the principles and foundations of logic.
Author: Klaus Mainzer
Publisher: World Scientific
ISBN: 981126855X
Category : Mathematics
Languages : en
Pages : 221
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Book Description
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.
Author: Alfred North Whitehead
Publisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 696
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Book Description
