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thatsmaths.com
| | kpknudson.com

[AI summary] A mathematician connects Franz Kafka's theme of 'non-arrival' and infinite paradoxes to Georg Cantor's work on different levels of transfinite infinity and the diagonalization argument.
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| | theoremoftheweek.wordpress.com

One of the intriguing facts about infinity mentioned in that Horizon programme (the one on recently thatI disliked) is that there are different sizes of infinity. I thought that this week I'd start discussing that fact. (There might be another theorem of the week on this subject!) Here are two questions for you to consider....
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| | xorshammer.com

Nonstandard Analysis is usually used to introduce infinitesimals into the real numbers in an attempt to make arguments in analysis more intuitive. The idea is that you construct a superset $latex \mathbb{R}^*$ which contains the reals and also some infinitesimals, prove that some statement holds of $latex \mathbb{R}^*$, and then use a general "transfer principle"...
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| | vankessel.io

A blog for my thoughts. Mostly philosophy, math, and programming.
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