THE MENO AND THE SECOND PROBLEM OF GEOMETRY AT 86e

Date

2016-01-01

Author

Bağçe, Samet

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

144
views

0
downloads

The aim of this paper is two-fold: firstly, to argue for the claim that the two problems of geometry presented in the Meno seem to be connected to each other, and secondly, to offer, in connection with the first claim, a conjecture concerning the nature of the second problem of geometry brought up in the dialogue at 86e. This paper offers, in particular, a historical reconstruction of how we should understand this problem of construction in geometry.

URI

https://hdl.handle.net/11511/53902

Journal

PHILOSOPHIA-INTERNATIONAL JOURNAL OF PHILOSOPHY

Collections

Department of Philosophy, Article

Suggestions

OpenMETU
Core

The Reconcilability of Non-Euclidean Geometries with Kant's Philosophy of Mathematics Çöteli, Can; Bağçe, Samet; Department of Philosophy (2021-9-27) This thesis examines Kant’s philosophy of geometry, and the possibility of reconciling non-Euclidean geometries with Kant’s philosophy of geometry. Kant believed that the propositions of Euclidean geometry are necessary and universal. In addition to that, he embraced the view that the character of space is Euclidean and he did not give any credence to the possibility of determining the character of space by using another geometrical structure. He also propounded the view that experience plays no positive ro...
The anarchy of justice: Hesiod’s Chaos, Anaximander’s apeiron, and geometric thought Grıffıth, James Edmond Carr (2022-04-01) This article examines Hesiod’s Chaos and Anaximander’s apeiron individually and inrelation to each other through the frame of René Descartes’ notion of natural geometry andthrough bounds and limits in Euclid and Immanuel Kant. Thanks to this frame, it shows that, inhis poetic vision, Hesiod saw in Chaos the act of bounding such that different things can appearwhile, in his speculative vision, Anaximander saw in the apeiron the self-limiting limit ofbounded things, which is to say, time as distinct from the ...
The significance of time in Kant’s Critique of Pure Reason Çifteci, Volkan; Çırakman, Elif; Department of Philosophy (2011) The purpose of this thesis is to give an account of the significance of time in Kant’s Critique of Pure Reason by discussing its role in the unification of sensibility and understanding. I primarily investigate the role that time plays in the constitution of objective knowledge. I discuss that since time is the necessary condition for objects to be given to our sensibility, without it any representation would be without a temporal order and perhaps would not make any sense at all. Kant claims that it is ima...
The Kerr-Schild double copy in Lifshitz spacetime Alçak, Gökhan; Gümüş, Mehmet Kemal; Tek, Mustafa (2021-05-01) The Kerr-Schild double copy is a map between exact solutions of general relativity and Maxwell’s theory, where the nonlinear nature of general relativity is circumvented by considering solutions in the Kerr-Schild form. In this paper, we give a general formulation, where no simplifying assumption about the background metric is made, and show that the gauge theory source is affected by a curvature term that characterizes the deviation of the background spacetime from a constant curvature spacetime. We demons...
The complexity of topological conjugacy of pointed Cantor minimal systems Kaya, Burak (2017-05-01) In this paper, we analyze the complexity of topological conjugacy of pointed Cantor minimal systems from the point of view of descriptive set theory. We prove that the topological conjugacy relation on pointed Cantor minimal systems is Borel bireducible with the Borel equivalence relation Delta(+)(R) on R-N defined by x Delta(+)(R)y double left right arrow {x(i):i is an element of N} = {y(i):i is an element of N}. Moreover, we show that Delta(+)(R) is a lower bound for the Borel complexity of topological co...

Citation Formats

S. Bağçe, “THE MENO AND THE SECOND PROBLEM OF GEOMETRY AT 86e,” PHILOSOPHIA-INTERNATIONAL JOURNAL OF PHILOSOPHY, pp. 45–68, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/53902.