Infinity and Trying To Do Maths With It
Citations Over Time
Abstract
Have you ever been in the playground playing a game of naming the biggest number you can think of? How quickly does someone say “infinity?” Then the next person says, “infinity plus one,” and the game never seems to stop. But is infinity plus one really bigger than infinity? Can we do maths with infinity? Georg Cantor (1845–1918) was one of the first mathematicians who studied infinity. He came up with different examples where infinity appears in mathematics. He also discovered that there were different types of infinity. This made other mathematicians dismiss his work as wrong and confusing. It was David Hilbert who made infinity understandable with his Infinity Hotel in 1924. His explanation was a story of a hotel that even when it was full, had space for more guests. This article tries to explain infinity in a similar way.
Related Papers
- → Prim�rzerlegung in Steinschen Algebren(1964)32 cited
- → How are Concepts of Infinity Acquired?(2015)2 cited
- → Infinity and Trying To Do Maths With It(2018)1 cited
- Analysis of the Potential Infinity and Actual Infinity(2009)
- → Mathematical Infinity and the Presocratic Apeiron(2014)