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Foundations of Soft Logic / by Moshe Klein, Oded Maimon.

Springer Nature - Springer Computer Science eBooks 2024 English International Available online

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Format:
Book
Author/Creator:
Klein, Moshe.
Contributor:
Maimon, Oded.
Series:
Computer Science Series
Language:
English
Subjects (All):
Artificial intelligence.
Machine learning.
Mathematics.
Social sciences--Data processing.
Social sciences.
Artificial Intelligence.
Machine Learning.
Computer Application in Social and Behavioral Sciences.
Local Subjects:
Artificial Intelligence.
Machine Learning.
Mathematics.
Computer Application in Social and Behavioral Sciences.
Physical Description:
1 online resource (144 pages)
Edition:
1st ed. 2024.
Place of Publication:
Cham : Springer Nature Switzerland : Imprint: Springer, 2024.
Summary:
This book presents a groundbreaking new mathematical paradigm and system (including inventing a new number) that enables a new approach to advancing the foundations of science and technology. The new approach allows connecting subjective and objective points of view that do not rely solely on the classical deductive approach. There is no need to fear paradoxical situations, because it’s precisely in them wherein lies the key to a new understanding that is more connected to life itself. This new model also serves to advance the theory of consciousness. Life is more colorful and diverse than just the binary colors of black and white. For this purpose, the authors propose a new type of number called Soft Number. The basic idea is to distinguish between the different multiples of the number zero. Soft Logic is a continuous extension of the idea of giving different meanings to the zero. The authors create a tangible model of an infinitely small world. This seemingly inconceivable world is important for understanding the essence of the connection between the external world of reality and the inner world of human beings and offers a new language to express it. This book systematically and axiomatically describes the mathematical development of Soft Logic and Soft Numbers and points to possible directions for scientific and technological applications. This book is a valuable resource for researchers working in mathematics, physics, biology, engineering, computer science and artificial intelligence as well as advanced-level students majoring in computer science, engineering and mathematics. Practitioners, Data Scientists, AI developers and readers interested in a scientific understanding of the concept of consciousness will also want to purchase this book.
Contents:
Introduction
Philosophical and Mathematical Background
Axioms of Soft Logic
Soft Numbers
The Soft Coordinate System
Soft Logic and Calculus
Soft Curves
The Dynamics of Soft Logic
Soft Analysis
Limits of Soft Numbers
The Soft Möbius Function and the Riemann Hypothesis
Soft Probability and Entropy
Soft Logic and the Privacy Paradox
Application Examples and Further Research.
Notes:
Description based on publisher supplied metadata and other sources.
ISBN:
3-031-58233-0
OCLC:
1443939397

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