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===Differential Expansions of Propositions===
===Differential Expansions of Propositions===
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An efficient calculus for boolean functions and logical propositions makes it feasible to compute the finite differences and the differentials of those functions and propositions.
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An efficient calculus for the realm of logic represented by boolean functions and elementary propositions makes it feasible to compute the finite differences and the differentials of those functions and propositions.
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For example, consider a proposition of the form <math>{}^{\backprime\backprime} p ~\operatorname{and}~ q \, {}^{\prime\prime}</math> that is graphed as two letters attached to a root node:
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For example, consider a proposition of the form <math>{}^{\backprime\backprime} \, p ~\operatorname{and}~ q \, {}^{\prime\prime}</math> that is graphed as two letters attached to a root node:
{| align="center" cellpadding="10"
{| align="center" cellpadding="10"