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www.logicmatters.net | ||
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www.thebigquestions.com
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aeon.co
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| | | | | Some have thought that logic will one day be completed and all its problems solved. Now we know it is an endless task | |
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tomasp.net
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| | | | | The question whether aliens would understand lambda calculus is intriguing because it vividly formulates a fundamental question about our formal mathematical knowledge. Are mathematical theories and results about them invented, i.e. constructed by humans, or discovered, i.e. are they eternal truths that exist regardless of whether there are humans to know them? | |
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njwildberger.com
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| | | Modern mathematics is enormously complicated and sophisticated. It takes some courage, and perhaps some foolishness, to dare to suggest that behind the fancy theories lie serious logical gaps, and indeed error. But this is the unfortunate reality. Around the corner, however, is a new and more beautiful mathematics, a more honest mathematics, in which everything... | ||