Several fields of mathematics have developed in total isolation, using their own 'undecipherable' coded languages. Mathematicians now present 'big algebras,' a two-way mathematical 'dictionary ...

Mathematical economics relies on defining all the relevant assumptions, conditions, and causal structures of economic theories in mathematical terms. There are two main benefits to doing this.

Many cannot improve on the vacuous definition: mathematics is what is done by mathematicians. We could try harder, with something like “mathematics is the language of clear thinking”, ...