Скачать или смотреть Mathematics without real numbers | Real numbers and limits Math Foundations 119 | N J Wildberger

The mathematics of the coming century is going to look dramatically different. Real numbers will go the way of toaster fish; claims of infinite operations and limits will be recognized as the balder dash they often are; and finite, concrete, write-downable mathematics will enter centre stage.

In this overview video, we look at some of the directions that mathematics will take, once the real number dream is abandoned. You can think of this as a bird's eye view of a lot of the rest of this video series.

It is an exciting time. Mathematics has not had a proper revolution; surely it is long overdue!

Video Contents:
00:00 Introduction
1:41 Adherence to real numbers
7:51 Moving away from real numbers
11:30 A 'new mathematics'
19:35 Approach to analysis
23:49 Multilinear aspect of algebraic geometry
28:56 New thinking and courage

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