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ANALOGY OF THE DIVIDED LINE
Plato uses the Divided Line analogy to show his division in the differing levels of truth. The idea of the
divided line allows Plato to explain how one may move up and down the line to ultimately arrive at
the Form of the Good.
in particular, it provides explanation for his stress upon mathematics as a key part of a
Mathematical figures are more abstract of the things we encounter in the visible realm.
From studying Mathematics, one ca then move from mathematics to the more complicated
practice of `dialectics' where one attempts to discover the Forms.
A.N.WHITEBREAD (mathematician): drawn to Platonic theories.
Many other mathematicians are also drawn to Plato's theories as numbers are universal.
The division between Illusion & Belief
It seems that one would never be purely in a state of illusion as illusion corresponds to
objects of belief. However, in the simile of The Cave Plato seems to claim we can be in a
state of illusion.
Intelligence or Dialectic FORMS Intelligible Realm
Mathematical Reasoning FORMS
Belief PHYSICAL THINGS Visible Realm
Illusion SHADOWS AND IMAGES
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