It seems often to be thought that the flow of value between mathematics and the applications of mathematics is unidirectional, from the former to the latter. Some support will be given for the assertion that the interaction between mathematics and the applications of mathematics is more complicated than that of a unidirectional flow, or even a flow at all. It seems often to be thought that the flow of value between mathematics and the applications of mathematics is unidirectional, from the former to the latter. Some support will be given for the assertion that the interaction between mathematics and the applications of mathematics is more complicated than that of a unidirectional flow, or even a flow at all.

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