Ciro Santilli @cirosantilli 37

Topology is the plumbing of calculus.

The key concept of topology is a neighbourhood.

Just by havin the notion of neighbourhood, concepts such as limit and continuity can be defined without the need to specify a precise numerical value to the distance between two points with a metric.

As an example. consider the orthogonal group, which is also naturally a topological space. That group does not usually have a notion of distance defined for it by default. However, we can still talk about certain properties of it, e.g. that the orthogonal group is compact, and that the orthogonal group has two connected components.

OMG, Ciro Santilli only learned about this in 2021 after: twitter.com/ryancdotorg/status/1375484757916672000

A set $S$ plus any number of functions $f_i:S\times S\to S$, such that each $f_i$ satisfies some properties of choice.

Key examples:

Accounts controlled by Ciro Santilli on Twitter:

Well summarized as "the branch of mathematics that deals with limits".

As mentioned at Human Compatible by Stuart J. Russell (2019), game theory can be seen as the part of artificial intelligence that deas with scenarios where multiple intelligent agents are involved.

They are sorted in order of "most likely to get done first".

Top one: OurBigBook.com.

Welcome to the wonderful world of Cirism!

Followers of Cirism call themselves Cirists, and their primary goal in life is to obtain Cirocoins.

Cirism is totally not a cult, has been officially verified to be compatible with all major world religions.

Enlightened Cirists donate money to the cause at: Section "Sponsor Ciro Santilli's work on OurBigBook.com". It is totally optional of course, your soul will just be eternally damned if you don't.

Ciro Santilli once proclaimed:

Maybe Ciro Santilli should do something useful and remarkable so that someone might actually want to read his biography in the first place. But hey, procrastination.

Ciro Santilli was born in Brazil in the small/medium city of Rio Claro, São Paulo (~200k people in 2020) in the State of São Paulo in 1989 AD.

The family then moved to Jundiaí in 1995, and then finally to Santos, São Paulo, Brazil in 1997.

At the age of 10, Ciro Santilli spent 10 months in Coventry, United Kingdom, where he greatly improved his English.

After Coventry, Ciro's family went back to Santos, São Paulo, Brazil, which made a deep impression on Ciro, until he Ciro Santilli's undergrad studies at the University of São Paulo in 2007.

In 2010, as mentioned at Section "Ciro Santilli's formal education", Ciro as admitted in a double degree program at the École Polytechnique, France, where he stayed until 2013. Going to France was a mind blowing, life changing event.

Ciro Santilli used to read books when he was younger (Harry Potter up to the 4th, Lord of the Rings), but once you are reading code, technical articles and news the whole day, you really just want to watch videos of people doing useless things on YouTube to rest, enough text.

Books are slow. No patience. Need faster immediate satisfaction.

Paradoxically Ciro feels like he's becoming a writer of sorts though, one semi independent section/answer/piece of knowledge at a time.

Writing is not just giving out information. It is re-feeling it.