Probabilistic Proofs Of Non-probabilistic Theorems
Probability theory routinely uses results from other fields of mathematics (mostly, analysis). The opposite cases, collected below, are relatively rare; however, probability theory is used systematically in combinatorics via the probabilistic method. They are particularly used for non-constructive proofs.
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Famous quotes containing the word proofs:
“Trifles light as air
Are to the jealous confirmation strong
As proofs of holy writ.”
—William Shakespeare (1564–1616)