Sentence examples for mathematical explanations need from inspiring English sources

She claims that mathematical explanations need not have a true explanans and consequently the objects posited by such explanations need not exist (see now also Leng 2010, chapter 9).

The second deals with the problem of whether mathematical explanations occur within mathematics itself.

Also in the case of mathematical explanation of mathematical facts, we need to carefully analyze more case studies in order to get a better grasp of the varieties of mathematical explanations.

There are no mathematical explanations yet for life, love or consciousness.

A similar objection to any attempt to use mathematical explanations in physics for inferring the existence of the mathematical entities involved in the explanation had already been raised in 1978b by Steiner, who had discarded such arguments with the observation that what needed explanation could not even be described without use of the mathematical language.

Mathematical explanations of empirical facts have not been sufficiently studied.

Secondly, as it has become apparent from our exposition, accounting for mathematical explanations of scientific facts will very likely require an account of mathematical explanations of mathematical facts.

In particular, they also make appeal to the existence of mathematical explanations of mathematical facts, for which see below.

Among those who resisted this confusion between "physical explanations" and "mathematical explanations" was the Jesuit Louis Castel.

The philosophical analysis of mathematical explanations concerns itself with two different, although connected, areas of investigation.

If they cannot accommodate mathematical explanations, this will show important limitations of the theories in question.