Sentence examples for known mathematics from inspiring English sources

John von Neumann's 1932 book, The Mathematical Foundations of Quantum Mechanics, says no: The orthodox interpretation of quantum mechanics requires the observer's "ego" to enter into the unfolding of reality in a way that lies outside and beyond the known mathematics.

The degree of success that has been achieved in this development, as well as the present stature of set theory, has been well expressed in the Nicolas Bourbaki Éléments de mathématique (begun 1939; "Elements of Mathematics"): "Nowadays it is known to be possible, logically speaking, to derive practically the whole of known mathematics from a single source, The Theory of Sets".

It is one of the great mysteries why nature seems to know mathematics.

Economists have a mystique among social scientists because they know mathematics.

He had spent five fruitless years looking for someone who knew mathematics to take on a project involving traits like high blood pressure that were associated with multiple genes.

As we know, mathematics is an abstract tool that is used to solve real problems.

In this context, Plato's Academy was fertile ground for controversy concerning how we are to know mathematics (the sorts of principles, the nature of proofs, etc).

In addition, Toluk-Uçar (2009) emphasized that problem posing has a positive effect on understanding fractions as well as on learners' views about what it means to know mathematics.

A consequence of this orientation for them is that discussions about what teachers of mathematics know cannot be divorced from the ways in which they know mathematics: 'It is not just a question of what teachers know, but how they know it, how they are aware of it, how they use it and how they exemplify it'.

When we go out to work, if we do not know mathematics we will not succeed.

Regular but nonrepeating patterns, defined by precise rules, have been known in mathematics since antiquity, and medieval Islamic artists made decorative, nonrepeating tile mosaics, but the phenomenon was thought impossible in the packing of atoms.