Combining Texts

Ideas for 'Parmenides', 'Letters to William Molyneux' and 'Critical Common-Sensism'

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3 ideas

9. Objects / B. Unity of Objects / 1. Unifying an Object / b. Unifying aggregates
Parts must belong to a created thing with a distinct form [Plato]
     Full Idea: The part would not be the part of many things or all, but of some one character ['ideas'] and of some one thing, which we call a 'whole', since it has come to be one complete [perfected] thing composed [created] of all.
     From: Plato (Parmenides [c.364 BCE], 157d)
     A reaction: A serious shot by Plato at what identity is. Harte quotes it (125) and shows that 'character' is Gk 'idea', and 'composed' will translate as 'created'. 'Form' links this Platonic passage to Aristotle's hylomorphism.
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
All communication is vague, and is outside the principle of non-contradiction [Peirce]
     Full Idea: The 'vague' might be defined as that to which the principle of contradiction does not apply. For it is false neither that an animal (in a vague sense) is male, nor that an animal is female. No communication between persons can be entirely non-vague.
     From: Charles Sanders Peirce (Critical Common-Sensism [1905], I)
     A reaction: Note that he makes vagueness largely a matter of the way we talk, which is David Lewis's approach, and looks right to me.
Vagueness is a neglected but important part of mathematical thought [Peirce]
     Full Idea: Logicians have too much neglected the study of vagueness, not suspecting the important part it plays in mathematical thought. It is the antithetical analogue of generality.
     From: Charles Sanders Peirce (Critical Common-Sensism [1905], I)