Pansystems philosophy and its mathematical principles (Q2775827)

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scientific article; zbMATH DE number 1714087
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English
Pansystems philosophy and its mathematical principles
scientific article; zbMATH DE number 1714087

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    Pansystems philosophy and its mathematical principles (English)
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    4 November 2002
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    pansystems theory
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    generalized quantification formulae
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    pansymmetry
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    dialectical logic
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    complex systems
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    master equation
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    panderivative
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    Nearly two decades ago, the first author proposed a new unified approach to science, referred to as pansystems theory, and that the reviewer is inclined to compare to something like a revisited version of Bertrand Russel's theory. Here, one goes a step further in the generalization and the abstraction of the formulation of the scheme. Some generalized quantification formulae are developed. The author proposes new forms for numerous pan-formulations such as pansymmetry, dialectical logic, complex systems, master equation, and so on. For instance panderivative includes differential variation, Fréchet variation, Gateau variation, generalized variation and tangent space in functional analysis, etc. The paper has no conclusion.
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