Economics is a branch of mathematics

[E_R_Olovetto]

@AJ

IF: We define mathematics as the branch of study that draws necessary conclusions from premises

Why would you do that? Here is wikipedia’s definition, just for a frame of reference.

Mathematics is the study of quantity, structure, space, and change. Mathematicians seek out patterns,^[2][3] formulate new conjectures, and establish truth by rigorous deduction from appropriately chosen axioms and definitions.^[4]

& a dictionary definition

Date: 1573

1 : the science of numbers and their operations, interrelations, combinations, generalizations, and abstractions and of space configurations and their structure, measurement, transformations, and generalizations
2 : a branch of, operation in, or use of mathematics

& another thread where I quoted Rothbard’s Individualism and the Philosophy of the Social Sciences at length.

One important aspect of these economic laws must be pointed out: They are necessarily qualitative. The fact that human beings have goals and preferences, that they make choices to attain their goals, that all action must take place over time, all these are qualitative axioms. And since only the qualitative enters into the logical process from the real world, only the qualitative can emerge. One can say, for example, than an increase in demand, given the supply, will raise the price; one cannot say that a 20 percent increase in demand will bring about a 25 percent increase in price. The praxeologist must reject all attempts, no matter how fashionable, to erect a theory consisting of alleged qualitative laws. In an age that tries desperately to imitate prestigious physics, with its emphasis on mathematics and its quantitative laws, many social scientists, including many economists, have ignored this methodology because of this very insistence on the bounds of the discipline.