- #1
brianhurren
- 71
- 2
just a simple question, is there such a thing as Transfinite geometry?
I agree, but I don't think that there is such a thing as transfinite geometry.Hornbein said:There is geometry in infinite dimensional spaces.
Transfinite numbers are numbers that are larger than any finite number but smaller than infinity. They were first introduced by mathematician Georg Cantor in the late 19th century.
Transfinite numbers are different from regular numbers because they can be used to represent infinite quantities, while regular numbers can only represent finite quantities. They also follow different rules and properties than regular numbers.
The significance of transfinite numbers lies in their ability to represent and understand the concept of infinity in mathematics. They have also been used in various fields such as set theory, topology, and analysis to solve complex problems and paradoxes.
Yes, transfinite numbers have been used in real-world applications such as computer science, economics, and physics. They have been used to model infinite processes and to solve problems involving infinite quantities.
Yes, there are different types of transfinite numbers, including aleph numbers, beth numbers, and the surreal numbers. Each type has its own unique properties and uses in mathematics and other fields.