At the time, I was not convinced by BSL interpreters' ability to interpret mathematics clearly, partly due to the lack of adequate vocabulary but also due to the paucity of interpreters with a background in mathematics.
So, it is the nominalist's burden to show how to interpret mathematics without the commitment to the existence of mathematical objects.
However this is not the way in which we routinely interpret mathematics in NF since the interpreting formulæ are unstratified and unwieldy: extra axioms are needed.
The distinctiveness of heterogeneous naturalism is thus that it recommends one set of standards (mathematical) for settling some questions about mathematics mathematical ones, such as which axioms to choose and another set of standards (scientific) for settling other questions about mathematics left open by the practice itself philosophical ones, such as how to interpret mathematics.
Maxwell, however, by interpreting the mathematics of Faraday's laws, showed there was no contradiction between Newtonian physics and classical mechanics.
Thus, to say that philosophers of mathematics are interested in figuring out how to interpret mathematical sentences is just to say that they want to provide a semantic theory for the language of mathematics.
"Here I am," he told me, "a quasi-orthodox Muslim in Mecca, walking around the Kaaba" — the shrine Muslims around the world face during prayers — "and I am interpreting it through mathematics, the lessons, Wu-Tang lyrics.
We examined beginners' formative assessment practices in particular, their eliciting and interpreting of students' mathematical thinking in the context of an elementary mathematics methods assignment, and the ways in which the scaffolds provided shaped their practice.
In cooperation with several nearby institutions, the affiliated University of Charleston awards master's degrees in accountancy, education, teaching, English, bilingual legal interpreting, history, marine biology, mathematics, environmental studies, and public administration.
It was Dr. Stokes, using his extraordinary grasp of mathematics, who interpreted the pattern to be that of a helix or spiral ladder.
