“I think […] that mathematical ideas originate in empirics. But, once they are conceived, the subject begins to live a peculiar life of its own and is […] governed by almost entirely aesthetical motivations. In other words, at a great distance from its empirical source, or after much "abstract" inbreeding, a mathematical subject is in danger of degeneration.
Whenever this stage is reached the only remedy seems to me to be the rejuvenating return to the source: the reinjection of more or less directly empirical ideas.”John von Neumann - "The Mathematician" in The Works of the Mind (1947)
Knowledge Nets - Creation of Knowledge
More Thorough Discussion and Presentation of our Approach
Notebooks and Papers
In this section we show preliminary results. Because our methods lead to very fast progress and lots of results we want to publish some of them without taking too much care on formal restrictions like ortography and so on. Please excuse possible errors in advance.
Papers provide further information with a more detailed explanation of our approach.