Digital Companion to C. S. Peirce

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Some Wit, Wisdom & Bewilderment

...a regulative principle of logic requires us to hold anything as continuous until it is proved discontinuous. But absolute discontinuity cannot be proved to be real, nor can any good reason for believing it real be alleged. We thus reach the conclusion that as a regulative principle, at least, ultimate continuity ought to be presumed everywhere.
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