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Principles of logic can themselves be debated, and often are, just like principles of any other science. For example, one principle of standard logic is the law of excluded middle, which says that something either is the case, or it isn’t. Either it’s raining, or it’s not. Many philosophers and others have rejected the law of excluded middle, on various grounds. Some think it fails in borderline cases, for instance when very few drops of rain are falling, and avoid it by adopting fuzzy logic. Others think the law fails when applied to future contingencies, such as whether you will be in the same job this time next year. On the other side, many philosophers — including me – argue that the law withstands these challenges. Whichever side is right, logical theories are players in these debates, not neutral umpires.
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Another debate in which logical theories are players concerns the ban on contradictions. Most logicians accept the ban but some, known as dialetheists, reject it. They treat some paradoxes as black holes in logical space, where even contradictions are true (and false).
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we’d be in trouble if we could never agree on anything in logic. Fortunately, we can secure enough agreement in logic for most purposes, but nothing in the nature of logic guarantees those agreements. Perhaps the methodological privilege of logic is not that its principles are so weak, but that they are so strong. They are formulated at such a high level of generality that, typically, if they crash, they crash so badly that we easily notice, because the counterexamples to them are simple. If we want to identify what is genuinely distinctive of logic, we should stop overlooking its close similarities to the rest of science.
Do we really need a beauty queen to tell us how to solve our local school curriculum controversies? Maybe so, but only if she's actually thought it through and can articulate her argument. Just once, instead of dishing up happy talk regarding nuclear disarmament, I'd like to see Miss Wherever stand tall on her stilettos and say, "You know what, I've honestly never given it a thought and have no clue."
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In a world where uninformed opinion is ubiquitous, wouldn't that be a sign of excellent Miss USA-worthy character?
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We seem to be obsessed with opinions because we take them to be a marker of individual independence, distinctiveness and reasoned intelligence. Expressing opinions is how we also express our freedom of conscience and flex our political rights. But when we're obliged to have an opinion on everything, all the time, our expressions of conscience are less about independent thinking than about making stuff up.
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