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> And yet.. quantum mechanics managed to break the most certain of all principles. That's false. Quantum logic satisfies the principle of non-contradiction (t
by pulisse 8y ago
> And yet.. quantum mechanics managed to break the most certain of all principles.
That's false. Quantum logic satisfies the principle of non-contradiction (the logical property described in the quotation from Aristotle).
The mistake you're making is misinterpreting the superposition of p and ~p, which is a combination of being p with some probability and ~p with some probability, with the simultaneous possession of p and ~p with certainty in both cases. Quantum mechanics doesn't say the latter is possible.
- theaeolist 8y agoYou are confusing "excluded middle" (¬p⋁p) with "non-contradiction" (¬(p∧¬p)). The former is not valid in e.g. constructive logic, whereas the latter is a basic statement of consistency.
- pulisse 8y agoMy edit to correct that raced with your comment, but thanks. In any case, my point about quantum logic stands.
- theaeolist 8y agoOr as Lewis Caroll puts it, through Tweedledee: "if it was so, it might be; and if it were so, it would be; but as it isn't, it ain't. That's logic."