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Single Idea 14797

[filed under theme 9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects ]

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.

Gist of Idea

Vagueness is a neglected but important part of mathematical thought

Source

Charles Sanders Peirce (Critical Common-Sensism [1905], I)

Book Ref

Peirce,Charles Sanders: 'Philosophical Writings of Peirce', ed/tr. Buchler,Justus [Dover 1940], p.294


The 2 ideas from 'Critical Common-Sensism'

Vagueness is a neglected but important part of mathematical thought [Peirce]
All communication is vague, and is outside the principle of non-contradiction [Peirce]