# Kalevi Kolttonen philosophy page

**Metalevels in thinking** (updated September 23rd, 2018)
**Alternative definition of cardinality** (v2.12, October 18th, 2018) This paper challenges Georg Cantor's proof about the cardinality of real numbers being bigger than the cardinality of natural numbers. I had to use LaTeX because working with MathML turned out to be too frustrating. So this article is available as a PDF document.
**Misinterpretations of Kolmogorov complexity** (v1.01, October 18th, 2018) This paper warns mathematicians and logicians about the dangers of confusing abstraction levels. Kolmogorov complexity is used as specific example to drive the point home. This article is published here in PDF format.