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#756 Donald Hoffman: The Case Against Reality, and the Interface Theory of Perception

The Dissenter

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Math and Logic Tell Us Their Limits

Gurdle's incompleteness theorem uses mathematical logic to show that the notion of truth transcends the notion of mathematical proof. So no matter how complicated and evolved from mathematics gets, our mathematics itself tells us that the range of truths will forever escape whatever mathematics you have. Math and logic themselves are so wonderful tools that they also tell us their limits. They tell us that they're useful tools for exploring truth, but that the truth will never be fully explored using those tools.

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