1936-1937年凯恩斯vs罗伯逊:罗伯逊的数学文盲使他无法理解凯恩斯在《通论》中的Is-Lm(lp)模型

M. E. Brady
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引用次数: 11

摘要

1936年至1937年,j·m·凯恩斯与d·罗伯逊的对决有两个对手,一个是j·m·凯恩斯,一个技巧高超、经验丰富、数学先进的思想家,另一个是d·罗伯逊,他甚至没有小学水平的数学基础。基本上,发生的知识交流完全是片面地支持凯恩斯,以至于罗伯逊写的关于凯恩斯的东西是否值得一读都值得怀疑。然而,这些交换确实完全支持了保罗·萨缪尔森(Paul Samuelson)的长期目标,即大大提高普通经济学家的数学水平和知识。罗伯逊的表演简直是智力上的可怕。罗伯逊在与凯恩斯的交流中反复表明,除了一个自变量和一个因变量的数学函数之外,他无法掌握任何涉及任何数学函数的数学分析。罗伯逊发现凯恩斯的数学分析难以理解。他无法理解凯恩斯的IS-LM (LP)模型,因为它涉及r和Y的一组同时存在的数学方程,而他没有能力掌握这些方程,因为他是一个马歇尔学派的人,习惯于在微观和宏观层面上使用其他条件假设。罗伯逊不可能遵循凯恩斯的理论,尽管他不断寻求数学上的建议和帮助,先是庇古(AC Pigou),然后是哈里·约翰逊(Harry Johnson)。
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Keynes Versus Robertson in 1936–1937: Robertson’s Mathematical Illiteracy Prevented Him From Understanding Keynes’s Is-Lm(lp) Model in the General Theory
J. M. Keynes versus D. Robertson in 1936-37 pits two opponents, one, J. M. Keynes, a highly skilled, sophisticated, mathematically advanced thinker against another, D. Robertson, who doesn’t have even an elementary background in mathematics at the grammar school level. Basically, the intellectual exchanges that take place are so completely one sided in Keynes’s favor that it is questionable whether anything written by Robertson about Keynes should even be considered worth reading. However, the exchanges do give complete support to Paul Samuelson’s long-range goal of greatly increasing the mathematical sophistication and knowledge of the average economist. Robertson’s performance is simply intellectually horrid. Robertson demonstrates repeatedly in his exchanges with Keynes that he is not able to grasp any type of mathematical analysis involving any mathematical function except a mathematical function with one independent variable and one dependent. Robertson found Keynes’s mathematical analysis to be incomprehensible. He could not understand Keynes’s IS-LM (LP) model because it involved a set of simultaneous mathematical equations in r and Y that he had no capacity to grasp because he was a Marshallian used to using the ceteris paribus assumption at both the micro and macro levels. It was impossible for Robertson to follow Keynes’s theory, even though he constantly sought the mathematical advice and help of first AC Pigou and then Harry Johnson.
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