Sentence examples for mathematical objects to from inspiring English sources

However, nonlinear PDEs are among the most difficult mathematical objects to understand.

Riemann took a novel view of what it means for mathematical objects to exist.

Modal specifications are classic, convenient, and expressive mathematical objects to represent interfaces of component-based systems.

While in some places at least Plato connected the necessary character of the Forms, including mathematical objects, to eternity, in Aristotle the connection is between necessity and sempiternity.

It's doubtful, therefore, whether the Skolemite can really appeal to, say, simple worries about "platonism" or about our epistemic access to mathematical objects to motivate a full-blown Skolemite position.

It may be objected that according to the definitions we've been using, views like Maddy's are not versions of platonism at all, because they do not take mathematical objects to exist outside of spacetime.

Clearly, deflationary nominalism has no commitment either to mathematical objects or to a modal ontology of any kind (including possible worlds, abstract entities as proxy for possible worlds, or other forms of replacement for the expression of modal claims).

If the claim was expressed in the language LM used by mathematicians, then nominalists could accept the claim while still denying that there are mathematical objects, contrary to the purpose of the claim.

No commitment to mathematical objects or structures seems to be needed to implement the proposed translation scheme.

Gödel was a platonist with respect to mathematical objects and with respect to mathematical concepts (Gödel 1944; Gödel 1964).

Similarly, even though some nominalists need not be committed to mathematical objects, they may be committed to other entities that may also raise ontological concerns (such as possibilia).