...Theidealofmathematicsshouldbetoerectacalculustofacilitatereasoninginconnectionwitheveryprovidenceofthought,orexternalexperience,inwhichthesuccessionofthoughts,orofeventscanbedefinitelyascertainedandpreciselystated.
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... The ideal of mathematics should be to erect a calculus to facilitate reasoning in connection with every providence of thought, or external experience, in which the succession of thoughts, or of events can be definitely ascertained and precisely stated.