Sentence examples for mathematical objects is from inspiring English sources

Moreover, the standard platonist view is that the argument for the existence of mathematical objects is entirely general, covering all branches of mathematics, including geometry, so that on this view, we already have reason to believe in lines and shapes, as well as numbers.

No commitment to mathematical objects is, in principle, made.

The place of mathematical objects is in our imagination, Syrianus suggests In metaph.

In the latter case, some suitable concrete replacement for mathematical objects is provided.

Whether the constructive empiricist would ultimately want to endorse some fictionalist view about mathematical objects is an open question.

Reference to mathematical objects is just part of the reference to those entities that are indispensable to our best theories of the world.

Thus one might distinguish between the ontological constructivism of Brouwer and others who are led to constructive mathematics through a belief that mathematical objects are mental creations, and the epistemological constructivism of Richman and those who see constructive mathematics as characterised by its methodology, based on the use of intuitionistic logic.

Mathematical objects are formed by abstraction from such images.

If mathematical objects are spatiotemporal, why do mathematicians not perform experiments to discover their properties?

Thus, abstract mathematical objects are claimed to be epistemologically inaccessible and metaphysically problematic.

We can now characterize the way in which mathematical objects are eternal and lack change.