What are the Objects of Dianoia?

Plato Journal 18:45-53 (2018)
  Copy   BIBTEX

Abstract

In this paper, I examine the problem of the so-called Mathematical Objects within the context of the Divided Line. I argue that Plato believes that there are such objects but their distinctness and the mode of cognition relative to them can only be understood in relation to the superordinate, unhypothetical first principle of all, the Idea of the Good. The objects of mathematics or διάνοια are, unlike the objects of intellection or νόησις, cognized independently of the Good.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,440

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Mathematics, Mental Imagery, and Ontology: A New Interpretation of the Divided Line.Miriam Byrd - 2018 - International Journal of the Platonic Tradition 12 (2):111-131.
Thing and object.Kristie Miller - 2008 - Acta Analytica 23 (1):69-89.
Objects, Their Parts, and Essences.Karol Polcyn - 2012 - Filozofia Nauki 20 (3).
How Can Abstract Objects of Mathematics Be Known?†.Ladislav Kvasz - 2019 - Philosophia Mathematica 27 (3):316-334.
Structuralism reconsidered.Fraser MacBride - 2005 - In Stewart Shapiro (ed.), Oxford Handbook of Philosophy of Mathematics and Logic. Oxford University Press. pp. 563--589.
Vague Objects and the Problem of the Many.Thomas Sattig - 2013 - Metaphysica 14 (2):211-223.
The Divided Line of Plato Rep. VI.J. L. Stocks - 1911 - Classical Quarterly 5 (02):73-.
Object Constructivism and Unconstructed Objects.Justin Remhof - 2014 - Southwest Philosophy Review 30 (1):177-185.
Intuitionism and Platonism on Infinite Totalities.Hugh Lehman - 1983 - Idealistic Studies 13 (3):190-198.

Analytics

Added to PP
2020-06-24

Downloads
39 (#401,270)

6 months
15 (#159,740)

Historical graph of downloads
How can I increase my downloads?