Monday, March 16, 2015

Plato's 3rd Man Argument, and an infinite regress

From "Parmeninides."

Third man argument (Plato): Let’s say that A, B, and C, partake of Largeness (L₁).  By self predication L₁ is also large.  There is now a new plurality: A, B, C, and L₁.  Given the One-over-many principle, there is a form of largeness in which all of the above partake.  We will call it L₂.  

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