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| | From the highly eclectic blog of Mark Dominus
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| | Change is logically possible because reality opposes itself.
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| | "Welcome to math class, boys and girls! Today we'll be drawing a picture that gestures beyond the limits of mortal comprehension."
| | algorithmsoup.wordpress.com
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| The ``probabilistic method'' is the art of applying probabilistic thinking to non-probabilistic problems. Applications of the probabilistic method often feel like magic. Here is my favorite example: Theorem (Erdös, 1965). Call a set $latex {X}&fg=000000$ sum-free if for all $latex {a, b \in X}&fg=000000$, we have $latex {a + b \not\in X}&fg=000000$. For any finite...