From Finite Sets to Feynman Diagrams

John C. Baez and James Dolan

A chapter in Mathematics Unlimited — 2001 and Beyond, 2001, pp 29-50 from Springer

Abstract: Abstract Prediction is hard, especially when it comes to the future, but barring some unforeseen catastrophe, we can expect the amount of mathematics produced in the 21st century to dwarf that of all the centuries that came before. By the very nature of its subject matter, mathematics is capable of limitless expansion. Thanks to rapid improvements in technology, our computational power is in a phase of exponential growth. Even if this growth slows, we have barely begun to exploit our new abilities. Thus the interesting question is not whether the 21st century will see an unprecedented explosion of new mathematics. It is whether anyone will ever understand more than the tiniest fraction of this new mathematics — or even the mathematics we already have.

Date: 2001
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DOI: 10.1007/978-3-642-56478-9_3

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