THE NOTION OF PROCESS IN NONSTANDARD THEORY AND IN WHITEHEADIAN METAPHYSICS

Autores

  • Stathis Livadas Messologgiou 66, 26222 Patras GREECE

Palavras-chave:

Actual entity. Concrescence. Coordinate division. Divisibility relation. Genetic division. Infinitesimal. Nonstandard hull. Prehension. Process. Standard. Ultra eigenvector

Resumo

In this article I intend to show that certain aspects of A.N. Whitehead’s philosophy of organism and especially his epochal theory of time, as mainly exposed in his well-known work Process and Reality, can serve in clarify the underlying assumptions that shape nonstandard mathematical theories as such and also as metatheories of quantum mechanics. Concerning the latter issue, I point to an already significant research on nonstandard versions of quantum mechanics; two of these approaches are chosen to be critically presented in relation to the scope of this work. The main point of the paper is that, insofar as we can refer a nonstandard mathematical entity to a kind of axiomatical formalization essentially ‘codifying’ an underlying mental process indescribable as such by analytic means, we can possibly apply certain principles of Whitehead’s metaphysical scheme focused on the key notion of process which is generally conceived as the becoming of actual entities. This is done in the sense of a unifying approach to provide an interpretation of nonstandard mathematical theories as such and also, in their metatheoretical status, as a formalization of the empirical-experimental context of quantum mechanics.

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Biografia do Autor

Stathis Livadas, Messologgiou 66, 26222 Patras GREECE

I am a  postdoc research scholar in the Philosophy of Mathematics and generally in the Philosophy of Science. Professionally I am employed by the Greek Ministry of Education as advisor in Mathematics in secondary education .  My main field of research interest is: Phenomenology- Mathematical Logic and Foundations of Mathematics-Intepretation of Quantum Mechanics. I have also published research in the theory of Computational Spaces. Research on the fields above continues.

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2015-11-29

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LIVADAS, S. THE NOTION OF PROCESS IN NONSTANDARD THEORY AND IN WHITEHEADIAN METAPHYSICS. Manuscrito: Revista Internacional de Filosofia, Campinas, SP, v. 36, n. 1, p. 103–137, 2015. Disponível em: https://periodicos.sbu.unicamp.br/ojs/index.php/manuscrito/article/view/8641982. Acesso em: 9 dez. 2022.

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