Of these transfinite numbers, perhaps the most extraordinary, and arguably, if they exist, "largest", are the Large cardinal propertys.
Georg Cantor shows there are different kinds of infinity and studies transfinite numbers.
The issue entered a new phase when Cantor introduced his naive set theory and used as a based for his work on transfinite numbers.
It contained Cantor's reply to his critics and showed how the transfinite numbers were a systematic extension of the natural numbers.
For almost a week afterwards he had almost understood the peculiar properties of transfinite numbers.
He founded set theory and worked on transfinite numbers.
Of these transfinite numbers, perhaps the most extraordinary, and arguably, if they exist, "largest", are the large cardinals.
I'll concentrate on a series of transfinite numbers.
Certain fields of mathematics define infinite and transfinite numbers.
Over the next twenty years, Cantor developed a theory of transfinite numbers in a series of publications.