Mathematics and Geometry: Two Key Concepts in Plato’s Theory of Ideas

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dc.contributor.authorAydın, Aysun
dc.date.accessioned2026-07-01T11:36:37Z
dc.date.available2026-07-01T11:36:37Z
dc.date.issued2025
dc.departmentDüzce Üniversitesi
dc.description.abstractMathematical reasoning, mathematical objects and mathematical knowledge are important aspects of Greek philosopher Plato’s philosophy. In his Theory of Ideas, mathematical reasoning provides the truth and the method for achieving the true knowledge of reality. In his theory, Plato makes a distinction between two worlds. The first is the world of Ideas, which refers to the timeless, abstract and unchanged world of Being, and the second is the world of appearances, which refers to the visible, sensible and changeable world of Becoming. According to this dualist theory, mathematical objects belong to the world of Being and mathematical reasoning is the only method that enables us to conceive the idea of good and the truths in this real world. Plato frequently presents and expresses the priority of mathematics in his dialogues and he refers to mathematical objects as the main subjects of philosophy. Accordingly, he puts mathematics as a propaedeutic to philosophy. In this respect, evaluating and analyzing the place of mathematics in Plato’s view and showing the importance of mathematical reasoning in philosophy are the main purposes of this study. This evaluation is valuable for both understanding Plato’s Theory of Ideas and showing the inseparable relationship between mathematics and philosophy. © 2025, Prof. Dr. Mehmet Zeki SARIKAYA. All rights reserved.
dc.identifier.dergipark1724439
dc.identifier.endpage174
dc.identifier.issn2147-625X
dc.identifier.issue2
dc.identifier.scopus2-s2.0-105022878793
dc.identifier.scopusqualityQ3
dc.identifier.startpage170
dc.identifier.urihttps://hdl.handle.net/20.500.12684/23143
dc.identifier.volume13
dc.indekslendigikaynakScopus
dc.institutionauthorAydın, Aysun
dc.language.isoen
dc.publisherProf. Dr. Mehmet Zeki SARIKAYA
dc.relation.ispartofKonuralp Journal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_Scopus_20260623
dc.subjectGeometry
dc.subjectMathematical ontology
dc.subjectMathematics
dc.subjectPlato
dc.titleMathematics and Geometry: Two Key Concepts in Plato’s Theory of Ideas
dc.typeArticle

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