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

************************
Screenshot PDFs for my videos are available at the website http://wildegg.com. These give you a concise overview of the contents of the lectures for various Playlists: great for review, study and summary.

My research papers can be found at my Research Gate page, at https://www.researchgate.net/profile/...

My blog is at http://njwildberger.com/, where I will discuss lots of foundational issues, along with other things.

Online courses will be developed at openlearning.com. The first one, already underway is Algebraic Calculus One at https://www.openlearning.com/courses/... Please join us for an exciting new approach to one of mathematics' most important subjects!

If you would like to support these new initiatives for mathematics education and research, please consider becoming a Patron of this Channel at   / njwildberger   Your support would be much appreciated.

Here are the Insights into Mathematics Playlists:

   • Плейлист  
   • Плейлист  
   • Плейлист  
   • Плейлист  
   • Плейлист  
   • Плейлист  
   • Плейлист  
   • Плейлист  
   • Плейлист  
   • Плейлист  
   • Плейлист  
   • Плейлист  
   • Плейлист  
   • Плейлист  
   • Плейлист  
   • Плейлист  
   • Плейлист  
   • Плейлист  
   • Плейлист  
   • Плейлист  
   • Плейлист