In Defense of Plato's Intermediates

Authors

  • William Henry Furness Altman Independent Scholar

DOI:

https://doi.org/10.14195/2183-4105_20_11

Keywords:

Intermediates, Problem of the One and the Many, διάνοια, Plato’s Theory of Ideas, Plato’s Philosophy of Mathematics

Abstract

Once we realize that the indivisible and infinitely repeatable One of the arithmetic lesson in Republic7 is generated by διάνοια at Parmenides 143a6-9, it becomes possible to revisit the Divided Line’s Second Part and see that Aristotle’s error was not to claim that Plato placed Intermediates between the Ideas and sensible things but to restrict that class to the mathematical objects Socrates used to explain it. All of the One-Over-Many Forms of Republic10 that Aristotle, following Plato, attacked with the Third Man, are equally dependent on Images and above all on the Hypothesis of the One (Republic 510b4-8).

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Published

2020-08-04

How to Cite

Altman, W. H. F. (2020). In Defense of Plato’s Intermediates. PLATO JOURNAL, 20, 151-166. https://doi.org/10.14195/2183-4105_20_11

Issue

Vol. 20 (2020): Plato Journal #20

Section

Articles

License

Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows sharing the work with recognition of authorship and initial publication in this journal.