MyWikiBiz, Author Your Legacy — Thursday November 14, 2024
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, 16:25, 7 December 2008
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| </pre> | | </pre> |
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− | My guess as to what's going on here — why the classical and intuitionistic reasoners appear to be talking past each other on this score — is that they are really talking about two different domains of mathematical objects. That is, the variables <math>p, q\!</math> range over <math>\mathbb{B}</math> in the classical reading while they range over a space of propositions, say, <math>X \to \mathbb{B}</math> in the intuitionistic reading of the formulas. Just my initial guess. | + | My guess as to what's going on here — why the classical and intuitionistic reasoners appear to be talking past each other on this score — is that they are really talking about two different domains of mathematical objects. That is, the variables <math>p, q\!</math> range over <math>\mathbb{B}</math> in the classical reading while they range over a space of propositions, say, <math>p, q : X \to \mathbb{B}</math> in the intuitionistic reading of the formulas. Just my initial guess. |
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| On the reading <math>P, Q : X \to \mathbb{B},</math> another guess at what's gone awry here might be the difference between the following two statements: | | On the reading <math>P, Q : X \to \mathbb{B},</math> another guess at what's gone awry here might be the difference between the following two statements: |