Sentence examples for mathematical objects in from inspiring English sources

A consequence of this view of the nature of mathematics is that the production of mathematical objects in non-mathematical ways produces a discourse that fundamentally disrupts the nature of mathematics as a discipline.

To treat them more thoroughly would, unfortunately, require us to dive pretty deeply into questions concerning, e.g., the status of our informal understanding of set-theoretic language, the legitimacy of second-order quantification, and the identity conditions associated with mathematical objects in structuralist philosophies of mathematics.

"The Existence of Mathematical Objects", in Proof & Other Dilemmas: Mathematics and Philosophy, edited by Bonnie Gold and Roger Simons.

And they have also made many other mathematical objects in wool.

Multivariable Calculus (Math 53) deals with mathematical objects in three- (or more) dimensional spaces.

"He creates a whole new language — you could say a whole new universe of mathematical objects — in order to say something about the usual universe".

For Moschovakis, as for many working mathematicians, an algorithm is an abstract mathematical object, in the same way that a number is.

This game is not intended to fit any preconceived situation; it is simply a mathematical object in search of an application.

It seems to have been Kepler who first introduced the idea, which was later to become a reigning principle in geometry, of continuous change of a mathematical object, in this case, of a geometric figure.

Noteworthy here are two aspects: Not only does he accept this system as an "actual infinity", in the sense of a complete infinite set that is treated as a mathematical object in itself; he also considers it "structurally", as an example of a linearly ordered set closed under addition and multiplication (an ordered field).

Thus, given that sheer postulation is (basically) enough in mathematics, mathematical objects have no epistemic burdens.