I was reading through a economics book and then found a reference to Marshall's disregard for mathematics which did not relate to real life examples. I think this is very important lesson for physicists where the one needs to ensure that the implications of a simulation model have physical relevance. Sharing it for reminding myself and all the fellow researchers !
Alfred Marshall wrote about the correct use of mathematics in economics in a letter to A.L. Bowley dated 27 February 1906:
[I had] a growing feeling in the later years of my work at the subject that a good mathematical theorem dealing with economic hypotheses was very unlikely to be good economics: and I went more and more on the rules -
- Use mathematics as a shorthand language, rather than an engine of inquiry.
- Keep to them till you have done.
- Translate into English.
- Then illustrate by examples that are important in real life.
- Burn the mathematics.
- If you can't succeed in (4), burn (3).
- This last I did often.
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