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Single Idea 20906

[filed under theme 8. Modes of Existence / D. Universals / 6. Platonic Forms / a. Platonic Forms ]

Full Idea

The Platonists, on the basis of purely logical arguments, posit the existence of an indivisible 'triangle in itself'.

Gist of Idea

Platonists argue for the indivisible triangle-in-itself

Source

report of Plato (works [c.375 BCE]) by Aristotle - Coming-to-be and Passing-away (Gen/Corr) 316a15

Book Ref

Democritus: 'Early Greek Phil VII: Democritus', ed/tr. Laks,A/Most,G [Harvard Loeb 2016], p.103

A Reaction

A helpful confirmation that geometrical figures really are among the Forms (bearing in mind that numbers are not, because they contain one another). What shape is the Form of the triangle?

The 30 ideas from 'works'

23890 For Plato true wisdom is supernatural [Plato, by Weil]
3060 Plato never mentions Democritus, and wished to burn his books [Plato, by Diog. Laertius]
23891 Two contradictories force us to find a relation which will correlate them [Plato, by Weil]
14502 Plato's idea of 'structure' tends to be mathematically expressed [Plato, by Koslicki]
557 A Form is a cause of things only in the way that white mixed with white is a cause [Aristotle on Plato]
13261 Plato sees an object's structure as expressible in mathematics [Plato, by Koslicki]
565 The Forms cannot be changeless if they are in changing things [Aristotle on Plato]
20906 Platonists argue for the indivisible triangle-in-itself [Plato, by Aristotle]
17948 Plato's Forms meant that the sophists only taught the appearance of wisdom and virtue [Plato, by Nehamas]
3039 When Diogenes said he could only see objects but not their forms, Plato said it was because he had eyes but no intellect [Plato, by Diog. Laertius]
556 If there is one Form for both the Form and its participants, they must have something in common [Aristotle on Plato]
563 If gods are like men, they are just eternal men; similarly, Forms must differ from particulars [Aristotle on Plato]
9607 The greatest discovery in human thought is Plato's discovery of abstract objects [Brown,JR on Plato]
13263 We can grasp whole things in science, because they have a mathematics and a teleology [Plato, by Koslicki]
13265 Plato was less concerned than Aristotle with the source of unity in a complex object [Plato, by Koslicki]
593 Plato's holds that there are three substances: Forms, mathematical entities, and perceptible bodies [Plato, by Aristotle]
13260 Plato says wholes are either containers, or they're atomic, or they don't exist [Plato, by Koslicki]
11237 Only universals have essence [Plato, by Politis]
11238 Plato and Aristotle take essence to make a thing what it is [Plato, by Politis]
17085 A good explanation totally rules out the opposite explanation (so Forms are required) [Plato, by Ruben]
1526 Almost everyone except Plato thinks that time could not have been generated [Plato, by Aristotle]
1651 Plato wanted to somehow control and purify the passions [Vlastos on Plato]
3324 Plato's whole philosophy may be based on being duped by reification - a figure of speech [Benardete,JA on Plato]
7503 Plato never refers to examining the conscience [Plato, by Foucault]
9274 Plato's legacy to European thought was the Good, the Beautiful and the True [Plato, by Gray]
2173 As religion and convention collapsed, Plato sought morals not just in knowledge, but in the soul [Williams,B on Plato]
94 Pleasure is better with the addition of intelligence, so pleasure is not the good [Plato, by Aristotle]
17947 Plato decided that the virtuous and happy life was the philosophical life [Plato, by Nehamas]
6015 Plato, unusually, said that theoretical and practical wisdom are inseparable [Plato, by Kraut]
2912 Plato is boring [Nietzsche on Plato]