## An Investigation of the Laws of Thought: On which are Founded the Mathematical Theories of Logic and Probabilities |

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algebraic application Aristotle assume babilities cause chapter coefficients combination compound event conception conclusion condition connexion consists constituents deduce definition deliberative assembly denoted determine disjunctive proposition elements elimination equa equal event x events whose probabilities exist expression factor function fundamental Hence hypothesis implied indefinite independent inference interpretation involved law of duality laws of thought logical equation logical value method middle terms minor limit mode natural evils nature necessary object observed occur particular premises present preventive of pain primary propositions principle Prob problem productive of pleasure Prop question reasoning reduced reference relation represent respect result second member secondary propositions simple events sition solution stxy supposed syllogism system of equations theory of probabilities things tion treatise true truth universe universe of discourse vanish whence white balls