A Mathematical Model for Plato’s Theory of Forms

Research output: Contribution to journalArticle

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Abstract

In this article we construct a mathematical/topological framework for comprehending fundamental concepts in Plato's theory of Forms; specifically the dual processes of: 1. The participation/partaking-methexis of the many particulars predicated as F to the Form-essence F , according to their degree of participation to it. 2. The presence-parousia of the Form-essence F to the particulars predicated as F , in analogy to their degree of participation to F as in 1
Original languageEnglish
Pages (from-to)3105-31019
Number of pages10
JournalBritish Journal of Mathematics & Computer Science
Volume11
Publication statusPublished - Nov 2014

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Participation
Mathematical Model
Essence
Dual Process
Plato
Fundamental
Parousia

Keywords

  • Platonic Philosophy,
  • Projective Topologies
  • Inductive Limits

Cite this

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title = "A Mathematical Model for Plato’s Theory of Forms",
abstract = "In this article we construct a mathematical/topological framework for comprehending fundamental concepts in Plato's theory of Forms; specifically the dual processes of: 1. The participation/partaking-methexis of the many particulars predicated as F to the Form-essence F , according to their degree of participation to it. 2. The presence-parousia of the Form-essence F to the particulars predicated as F , in analogy to their degree of participation to F as in 1",
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issn = "2231-0851",

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A Mathematical Model for Plato’s Theory of Forms. / Chailos, George.

In: British Journal of Mathematics & Computer Science, Vol. 11, 11.2014, p. 3105-31019.

Research output: Contribution to journalArticle

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AB - In this article we construct a mathematical/topological framework for comprehending fundamental concepts in Plato's theory of Forms; specifically the dual processes of: 1. The participation/partaking-methexis of the many particulars predicated as F to the Form-essence F , according to their degree of participation to it. 2. The presence-parousia of the Form-essence F to the particulars predicated as F , in analogy to their degree of participation to F as in 1

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