Sentence examples for mathematics could be from inspiring English sources

Frege, however, showed that fundamental advances in mathematics could be made by studying the language used to express mathematical thought.

Even those philosophers who profess sympathy with nominalism find it hard, however, to maintain that mathematics could be built on a consistently nominalistic foundation.

But his aspirations were not limited to music, and as his senior year of high school approached, he and his father embarked on a search for a college at which his predilection for mathematics could be honed as well.

If the then-traditional manner of teaching mathematics could be changed to emphasize logical thinking (rather than routinized application of formulas), it was argued that perhaps mathematical training could improve reasoning ability in general.

The experience went a long way toward convincing Einstein that mathematics could be a telegraph line to God, and he spent most of the rest of his life in an increasingly abstract and ultimately fruitless pursuit of a unified theory of physics.

While laying rigorous foundations for mathematics, 19th-century mathematicians discovered that the language of mathematics could be reduced to that of set theory (developed by Cantor), dealing with membership and equality, together with some rudimentary arithmetic, containing at least symbols for zero (0) and successor (S).

A large positive correlation between the content knowledge domains of mathematics and mathematics pedagogy could be observed for the TEDS-M future primary teachers in the Russian Federation.

If all evaluated public schools were efficient in PISA 2012, the percentage of students below proficiency level 2 (the minimum 'competence threshold' defined by OECD) in mathematics (reading) could be reduced from 67.2 to 48.5 % in mathematics and from 58.8 to 42.9 % in reading.

With respect to the argument from the effectiveness of mathematics, it could be replied that all the math involved in physics is somehow "contained" in basic "everyday" math or at least that the computational abilities of individuals who perform advanced math are contained in the computational abilities of early homo sapiens.

In institutions that require their students to complete a math course for graduation, rates as high as these mean that mathematics courses could be filtering approximately half of the undergraduate population out of further mathematics study, STEM degrees, and even post-secondary study altogether.

Linsky & Zalta respond to this by arguing that plenitudinous platonism (or in their lingo, principled platonism) is knowable a priori because it is required for our understanding of any possible scientific theory: it alone is capable of accounting for the mathematics that could be used in empirical science no matter what the physical world was like.