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The progressions from calculus

May 9th, 2014 · No Comments

http://darwiniana.com/2014/05/08/from-marx-to-marginalism-and-the-cloud-of-mathematical-ideology/http://darwiniana.com/2014/05/08/from-marx-to-marginalism-and-the-cloud-of-mathematical-ideology/

http://www.amazon.com/History-Calculus-Conceptual-Development-Mathematics/dp/0486605094/ref=sr_1_1?s=books&ie=UTF8&qid=1399652495&sr=1-1&keywords=boyer+calculus: Boyer’s classic history of calculus and the controversy over differentials

Boyer’s book was one of my favorite books in college and prompted me to a course of math study. I had long forgotten it but find it as Amazon for $0.01.

The question of calculus and its application to economic marginalism remains obscurely dubious.

It is useful to study the history of the successions to calculus: calculus starter, applied to mechanics. But, a small shift in subjects to electromagnetism. The subject shifts to vector analysis with the stunning correlation of field phenomena to the vector spaces and its line integrals. Then the techniques shift once again, and we have the matrix world, or the ‘calculus’ version of Schrodinger,in quantum mechanis, and the tensor analysis of General Relavity.

My point: even slight shifts in the subject matter of physics to closely related cousin subjects generates its own descendant version of a ‘calculus’ model.

That’s a warning that the direct appalication of the ‘Newtonian’ math techniques to the completely different phylum of economics is probably not going to work. The field would need its own distinctive systamatics as math. You can always use the calculus anywhere a significant parameter is at the forefront as in population growth, with a differential equation easily solved.

But in a field where free agents are in principle able to change the direction of an economy the differential equation of that type is going to be false almost by definition.

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