Ideas from 'Elements of Intuitionism (2nd ed)' by Michael Dummett [2000], by Theme Structure

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4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
Mathematical statements and entities that result from an infinite process must lack a truth-value
                        Full Idea: On an intuitionistic view, neither the truth-value of a statement nor any other mathematical entity can be given as the final result of an infinite process, since an infinite process is precisely one that does not have a final result.
                        From: Michael Dummett (Elements of Intuitionism (2nd ed) [2000], p.41), quoted by Ian Rumfitt - The Boundary Stones of Thought 7.3
                        A reaction: This is rather a persuasive reason to sympathise with intuitionism. Mathematical tricks about 'limits' have lured us into believing in completed infinities, but actually that idea is incoherent.