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Single Idea 13261

[filed under theme 9. Objects / B. Unity of Objects / 1. Unifying an Object / a. Intrinsic unification ]

Full Idea

The 'structure' of an object tends to be characterised by Plato as something that is mathematically expressible.

Gist of Idea

Plato sees an object's structure as expressible in mathematics

Source

report of Plato (works [c.375 BCE]) by Kathrin Koslicki - The Structure of Objects 5.3

Book Ref

Koslicki,Kathrin: 'The Structure of Objects' [OUP 2008], p.98


A Reaction

This seems to be pure Pythagoreanism (see Idea 644). Plato is pursuing Pythagoras's research programme, of trying to find mathematics buried in every aspect of reality.

Related Idea

Idea 644 For Pythagoreans the entire universe is made of numbers [Pythagoras, by Aristotle]


The 30 ideas from 'works'

For Plato true wisdom is supernatural [Plato, by Weil]
Plato never mentions Democritus, and wished to burn his books [Plato, by Diog. Laertius]
Two contradictories force us to find a relation which will correlate them [Plato, by Weil]
If gods are like men, they are just eternal men; similarly, Forms must differ from particulars [Aristotle on Plato]
Plato's idea of 'structure' tends to be mathematically expressed [Plato, by Koslicki]
Platonists argue for the indivisible triangle-in-itself [Plato, by Aristotle]
Plato's Forms meant that the sophists only taught the appearance of wisdom and virtue [Plato, by Nehamas]
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]
If there is one Form for both the Form and its participants, they must have something in common [Aristotle on Plato]
A Form is a cause of things only in the way that white mixed with white is a cause [Aristotle on Plato]
The Forms cannot be changeless if they are in changing things [Aristotle on Plato]
The greatest discovery in human thought is Plato's discovery of abstract objects [Brown,JR on Plato]
We can grasp whole things in science, because they have a mathematics and a teleology [Plato, by Koslicki]
Plato sees an object's structure as expressible in mathematics [Plato, by Koslicki]
Plato was less concerned than Aristotle with the source of unity in a complex object [Plato, by Koslicki]
Plato's holds that there are three substances: Forms, mathematical entities, and perceptible bodies [Plato, by Aristotle]
Plato says wholes are either containers, or they're atomic, or they don't exist [Plato, by Koslicki]
Only universals have essence [Plato, by Politis]
Plato and Aristotle take essence to make a thing what it is [Plato, by Politis]
A good explanation totally rules out the opposite explanation (so Forms are required) [Plato, by Ruben]
Plato wanted to somehow control and purify the passions [Vlastos on Plato]
Plato's whole philosophy may be based on being duped by reification - a figure of speech [Benardete,JA on Plato]
Plato never refers to examining the conscience [Plato, by Foucault]
As religion and convention collapsed, Plato sought morals not just in knowledge, but in the soul [Williams,B on Plato]
Plato's legacy to European thought was the Good, the Beautiful and the True [Plato, by Gray]
Pleasure is better with the addition of intelligence, so pleasure is not the good [Plato, by Aristotle]
Plato decided that the virtuous and happy life was the philosophical life [Plato, by Nehamas]
Plato, unusually, said that theoretical and practical wisdom are inseparable [Plato, by Kraut]
Plato is boring [Nietzsche on Plato]
Almost everyone except Plato thinks that time could not have been generated [Plato, by Aristotle]