Category Archives: Foundations of Mathematics

Can $1+1$ be $1$?

Posted on June 28, 2021 by Sung Lee

$1+1=2$ is often quoted by laypeople (in mathematics) as an epitome of the absolute truth. Those who know a bit of mathematics know that that is not the case. For example, there is a number system where $1+1=0$. It is … Continue reading →

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$1+2+3+4+\cdots=-\frac{1}{12}$?

Posted on August 27, 2014 by Sung Lee

No, folks! I am not drunk nor I am pot-headed. Yet, I am about to discuss the crazy identity $$1+2+3+4+\cdots=-\frac{1}{12}.$$ No, I am not joking either. This is actually pretty serious mathematics and is also pretty serious stuff even to … Continue reading →

Posted in Foundations of Mathematics, Summability Methods | 4 Comments