Sentence examples for on rigorous foundations from inspiring English sources

Instead, mathematicians, who may not have been too unhappy with the idea that there is no way of deciding the truth of a proposition automatically, learned to live with the idea that not even mathematics rests on rigorous foundations.

In the 1890s, Gottlob Frege and Hilbert had aimed at setting the mathematical sciences on rigorous foundations.

Our agent-based models are built on rigorous mathematical foundations - this is one of the unique aspects of our work.

But Swinburne's own religiosity, while it may offer him contentment, is based on rigorous intellectual foundations.

A much greater influence on his thought at this time, however, was a group of German mathematicians that included Karl Weierstrass, Georg Cantor, and Richard Dedekind, whose work was aimed at providing mathematics with a set of logically rigorous foundations.

Since it is not enough for a physical theory to be just fine FAPP, a quantum mechanics needs rigorous foundations.

Packer's work has no rigorous foundation to rely on, no ideology to give it organization and shape.

For myself this feeling of dissatisfaction was so overpowering that I made a fixed resolve to keep meditating on the question till I should find a purely arithmetic and perfectly rigorous foundation for the principles of infinitesimal analysis.…I succeeded on November 24 , 1858

That job was a rigorous foundation.

Mathematicians worked very hard to provide a rigorous foundation for Dirac's formal framework.

With an inclusive and integrative approach, the Songbird Neurogenomics Initiative has established a rigorous foundation for application of genomic technology by the community of researchers focused on songbirds.