Sentence examples for mathematical standards from inspiring English sources

Our default view is that mathematical standards decide questions in mathematics proper, for example questions such as whether Fermat's Last Theorem or the Axiom of Choice is true.

Another position suggested by Maddy (1997) is a thoroughgoing mathematical naturalism that takes mathematical standards as authoritative within both mathematics and its philosophy.

Consider now a heterogeneous methodological naturalism that accepts mathematical standards when it comes to mathematics proper but adopts scientific standards for the philosophy of mathematics and for philosophy more generally.

There are no clear exemplars of the view that mathematical standards should be authoritative in philosophy of mathematics, hence the question mark.

For others, however, ethnomathematics is an effort to supplant the tyranny of Western mathematical standards.

In Connecticut, there are 10 broad mathematical standards for students in kindergarten through 12th grade.

NSA may also have purposefully compromised a mathematical standard used widely for securing personal computers the world over.

Suppose also, as Penelope Maddy maintains, that a set-theoretic version of ontological profligacy posit as many sets as possible is a mathematical standard (this is one way of cashing out the set-theoretic maxim Maddy calls MAXIMIZE).

An alternative is to directly find N(k) using a mathematical standard method called variational calculus (see supporting information Text S1).

Why should one have to appeal to non-mathematical standards, such as those of logic or empirical science, in order to defend the truth of mathematical theorems?

But it does not follow that the (non-scientific or non-mathematical) standards that I use have a poor track record.