Operators in Nature, Science, Technology, and Society: Mathematical, Logical, and Philosophical Issues
The concept of an operator is used in a variety of practical and theoretical areas. Operators, as both conceptual and physical entities, are found throughout the world as subsystems in nature, the human mind, and the manmade world. Operators, and what they operate, i.e., their substrates, targets, o...
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doaj-8e550eafc7d746da96f1d79c5aa3fb502020-11-25T00:53:00ZengMDPI AGPhilosophies2409-92872017-09-01232110.3390/philosophies2030021philosophies2030021Operators in Nature, Science, Technology, and Society: Mathematical, Logical, and Philosophical IssuesMark Burgin0Joseph Brenner1Department of Mathematics, University of California, Los Angeles, 520 Portola Plaza, Los Angeles, CA 90095, USAInternational Center for Transdisciplinary Research, Chemindu Collège 1, P.O. Box 235, Paris, FranceThe concept of an operator is used in a variety of practical and theoretical areas. Operators, as both conceptual and physical entities, are found throughout the world as subsystems in nature, the human mind, and the manmade world. Operators, and what they operate, i.e., their substrates, targets, or operands, have a wide variety of forms, functions, and properties. Operators have explicit philosophical significance. On the one hand, they represent important ontological issues of reality. On the other hand, epistemological operators form the basic mechanism of cognition. At the same time, there is no unified theory of the nature and functions of operators. In this work, we elaborate a detailed analysis of operators, which range from the most abstract formal structures and symbols in mathematics and logic to real entities, human and machine, and are responsible for effecting changes at both the individual and collective human levels. Our goal is to find what is common in physical objects called operators and abstract mathematical structures, with the name operator providing foundations for building a unified but flexible theory of operators. The paper concludes with some reflections on functionalism and other philosophical aspects of the ‘operation’ of operators.https://www.mdpi.com/2409-9287/2/3/21functioninformationlogicmathematicsontologyepistemologynatureoperatorsciencesocietysystemtheory |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Mark Burgin Joseph Brenner |
spellingShingle |
Mark Burgin Joseph Brenner Operators in Nature, Science, Technology, and Society: Mathematical, Logical, and Philosophical Issues Philosophies function information logic mathematics ontology epistemology nature operator science society system theory |
author_facet |
Mark Burgin Joseph Brenner |
author_sort |
Mark Burgin |
title |
Operators in Nature, Science, Technology, and Society: Mathematical, Logical, and Philosophical Issues |
title_short |
Operators in Nature, Science, Technology, and Society: Mathematical, Logical, and Philosophical Issues |
title_full |
Operators in Nature, Science, Technology, and Society: Mathematical, Logical, and Philosophical Issues |
title_fullStr |
Operators in Nature, Science, Technology, and Society: Mathematical, Logical, and Philosophical Issues |
title_full_unstemmed |
Operators in Nature, Science, Technology, and Society: Mathematical, Logical, and Philosophical Issues |
title_sort |
operators in nature, science, technology, and society: mathematical, logical, and philosophical issues |
publisher |
MDPI AG |
series |
Philosophies |
issn |
2409-9287 |
publishDate |
2017-09-01 |
description |
The concept of an operator is used in a variety of practical and theoretical areas. Operators, as both conceptual and physical entities, are found throughout the world as subsystems in nature, the human mind, and the manmade world. Operators, and what they operate, i.e., their substrates, targets, or operands, have a wide variety of forms, functions, and properties. Operators have explicit philosophical significance. On the one hand, they represent important ontological issues of reality. On the other hand, epistemological operators form the basic mechanism of cognition. At the same time, there is no unified theory of the nature and functions of operators. In this work, we elaborate a detailed analysis of operators, which range from the most abstract formal structures and symbols in mathematics and logic to real entities, human and machine, and are responsible for effecting changes at both the individual and collective human levels. Our goal is to find what is common in physical objects called operators and abstract mathematical structures, with the name operator providing foundations for building a unified but flexible theory of operators. The paper concludes with some reflections on functionalism and other philosophical aspects of the ‘operation’ of operators. |
topic |
function information logic mathematics ontology epistemology nature operator science society system theory |
url |
https://www.mdpi.com/2409-9287/2/3/21 |
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