Category Archives: Foundations of Mathematics

Are Real Numbers Real?

Posted on September 26, 2021 by Sung Lee

Undoubtedly, real numbers are the most fundamental things to describe literally everything we know about our physical world, so questioning if real numbers are real may appear to be as silly as questioning if our world is real. But seriously, … Continue reading →

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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