2 Sentences With "science of reasoning"

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In its first section, titled "Idea of the Work" ('), the 1730 and 1744 editions of The New Science explicitly present themselves as a "science of reasoning" ('). The work (especially the section "Of the Elements") includes a dialectic between axioms (authoritative maxims or ') and "reasonings" (') linking and clarifying the axioms. Vico began the third edition with a detailed close reading of a front piece portrait, examining the place of Gentile nations within the providential guidance of the Hebrew God. This portrait contains a number of images that are symbolically ascribed to the flow of human history.
In his 1848 The Nature of Logic Boole asserts that "logic . . . is in a more especial sense the science of reasoning by signs", and he briefly discusses the notions of "belonging to" and "class": "An individual may possess a great variety of attributes and thus belonging to a great variety of different classes".Boole 1848 in Like De Morgan he uses the notion of "variable" drawn from analysis; he gives an example of "represent[ing] the class oxen by x and that of horses by y and the conjunction and by the sign + . . . we might represent the aggregate class oxen and horses by x + y".