The ancient Greeks did not fully grasp irrational numbers.Their mathematical standards and fear of in-finity prevented recognition of irrational numbers as legitimate"numbers."After the first mathematical crisis,Greek focus shifted from numbers to geometry,hindering further understanding.Greek mathematics emphasized deduction and discovery,rejecting the notion of mathematics as empirical or inventive.Over time,the recognition of irrational numbers evolved,showing they are both objects of deduction and experience,discovery and invention.Understanding irrational numbers has been a complex and lengthy journey.
关键词
古希腊数学/无理数/演绎与经验/发现与发明/认识论
Key words
ancient Greek mathematics/irrational number/deduction and experience/discovery and inven-tion/Epistemology
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