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Definitions of mathematics vary widely and different schools of thought, particularly in philosophy, have suggested radically different and controversial accounts.〔〔 == Early definitions == Aristotle defined mathematics as: The science of quantity. In Aristotle's classification of the sciences, discrete quantities were studied by arithmetic, continuous quantities by geometry.〔James Franklin, "Aristotelian Realism" in ''Philosophy of Mathematics", ed. A.D. Irvine, (p. 104 ). Elsevier (2009).〕 Auguste Comte's definition tried to explain the role of mathematics in coordinating phenomena in all other fields:〔Arline Reilein Standley, ''Auguste Comte,'' p. 61. Twayne Publishers (1981).〕 The science of indirect measurement.〔Florian Cajori ''et al.,'' ''A History of Mathematics,'' 5th ed., (p. 285–6 ). American Mathematical Society (1991).〕 Auguste Comte 1851 The "indirectness" in Comte's definition refers to determining quantities that cannot be measured directly, such as the distance to planets or the size of atoms, by means of their relations to quantities that can be measured directly.〔Auguste Comte, ''The Philosophy of Mathematics,'' tr. W.M. Gillespie, (pp. 17–25 ). Harper & Brothers, New York (1851).〕 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Definitions of mathematics」の詳細全文を読む スポンサード リンク
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