This is a series of videos that I decided to make on Georg Cantor’s groundbreaking works published in 1,895 and 1,897 titled Contributions to the Founding of the Theory of Transfinite Numbers.
This work could probably be counted among the most influential and significant works in mathematical history — Cantor’s transfinite numbers changed the face of mathematics completely (although, not to everyone’s pleasure). The impact of Cantor’s work can’t be underestimated.
In this series of videos I will go through the definitions of aggregate, cardinal numbers, simply ordered aggregates, ordinal types and ordinal numbers amongst others. I will also go through some of the properties of these objects including arithmetical operations of cardinal numbers and ordinal types and culminating in the arithmetic of the ordinal numbers of the second number class.
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