Sentence examples for mathematical collections exist from inspiring English sources

If mathematical collections exist independently of the act of defining, then it is not immediately clear why there could not be collections that can only be defined impredicatively (Gödel 1944).

These collections exist for a reason.

Philosophers have a tendency to step outside the framework of mathematics and ask "from the outside" whether mathematical objects really exist and whether mathematical propositions are really true.

No complicated mathematical equations exist once the World Cup reaches the knock-out phase.

It remains unknown how many similar problematic mathematical terms exist in the theory.

More complex mathematical relationships exist between incidence and prevalence when those assumptions cannot be met.

Nash equilibriums, which he described in the hieroglyphics of mathematical symbols, exist everywhere.

(ii) Yablo (2006) has investigated the possibility that when engaging in mathematical discourse we presuppose that mathematical entities exist.

Mathematical theories should be viewed as invitations to participate in games of pretence, in which we act as if certain mathematical entities exist.

According to the deflationary nominalist, it is perfectly consistent to insist that mathematical theories are indispensable to science, to assert that mathematical and scientific theories are true, and to deny that mathematical objects exist.

To say this is to use 'exist' and 'actual' similar to they way Platonists use them when they claim that mathematical objects exist or are actual.