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

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algebraic application 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 events whose probabilities exist expression factor fundamental Hence hypothesis implied indefinite independent inference interpretation involved law of duality laws of thought limited in supply logical equation logical value method middle terms minor limit mode natural evils nature necessary object observed occur particular phaenomenon premises present preventive of pain primary propositions principle Prob problem processes productive of pleasure Prop question reasoning reduced reference relation represent respect result satisfy second member secondary propositions simple events sition solution stry supposed syllogism system of equations theory of probabilities things tion treatise true truth universe of discourse vanish whence white balls X is true