About this site


This site aims to

Level, target

It may be situated in between undergraduate and graduate levels: by its way of rebuilding everything from the start, it aims to fill the role of (a subset in progress of) an undergraduate curriculum (1st university year), but the difficulty level with the care for powerful methods and deep and complete explanations, is comparable to graduate level (3rd year). Also, it takes some of its inspiration and concepts from existing graduate-level mathematics (in a simplified form).
It is thus mainly targeted at

(Such innovative works for the undergraduate level seem to be generally lacking in the world, while more works can be found on the foundations of mathematics at other levels).


It does not aim (nor exclude) to bring new ideas, results or theories (with few exceptions : the set generation principle; the page "Time in set theory" - interpretations of quantum physics), but focuses on developing new optimized paths to already known fundamental theories of mathematics and physics : putting things in the right order, to make high concepts look as clear, simple and fast to learn as possible. It combines the following advantages:

The set theory formalism presented here differs from the traditional ZF system, but aims to more directly fit the common use and notations of mathematics (without artificial encoding and abbreviation systems), and be cleaner on foundation and meaning.

Long introduction

I wrote this long introduction to the contents of this site and relations between logic and physics, for what was first supposed to be the news bulletin of the Iranian Association for Logic, but finally was a book "Logic around the world".

Why leave the system

I first made an introduction video on youtube (in 3 parts, total is more than 1 hour):

Also available in text version : Why learn physics by yourself
A shorter version (about 15 min) was done at Ukraine Crisis Media Center where I announced my offer of free physics courses in Ukraine for summer 2016. Full text version and video.

Proposition of course

I wrote a draft plan of couses I might make of initiation to non-euclidean geometries, special and general relativity, tensors and/or quantum physics), but usually did not find the context (gathering students) to actually do something (because everybody is much too busy wasting their time in the f**g system to ever think about doing something more meaningful). So if you would be interested or you know places where such students can be found, preferably in Europe which is where I usually stay, you can please write me, so if a group can be made I can consider to come.
Students might eventually register to this group but it is always better to write me email anyway.

Reading advice

The first texts of mathematics are generally intended to be slowly read, respecting the order.

Writing history and notes

A first version was written in French, then partially corrected and translated to make the start of this site, which then continued directly in English on other subjects.
Now over 50 pages ready from the start on mathematics (entirely self-contained), plus more sections of maths and physics in bulk or draft; still incomplete (some French pages should be corrected before translation, and others are in plans to be directly written here).

I cannot ensure the perfection of the English vocabulary as I'm not native English speaker. Moreover I need to name some concepts that have not always a standard name in the mathematical literature; I know that my use of "functor" differs from (is more general than) its standard meaning in category theory, and thus breaks the standard convention, but I do not know any better word for what I need.

Would you like to help ?

I look for translators to provide versions of this work in other languages.

As this site is relatively recent, it is not well-known yet. So if you see it worth, please help spreading the word about it. First by clicking the G+ button on the main page (using your google+ account). Then if you don't know what more, look here.

About the author

Sylvain Poirier
from Le Havre, France
PhD in Mathematics
(but I did not like the academic system; I learnt more mathematics and physics on my own since teenage, including General Relativity at 16).

I have the following other sites :
(Other sites on the web with the same are from homonyms)

For many years I was upset. Here is why. Now things seem to be going a little better in the sense that I found a programmer to start the work but more will be needed.


trustforum at gmail.com (g+ profile)
(A facebook account I sometimes use but I also sometimes lose access to just because of their fucking "security procedure" of blocking access to account for the mere "crime" of moving to a new place, not carrying a fixed smartphone (yes I'm old-fashioned, I just use internet cafe), not having had enough real friends to activate the other "security procedure" (to protect my account against the danger of blocking by their mad developers who obsessively invent fears of hacking out of nowhere), having like anyone else many "facebook friends" I cannot always identify on picture... I even faced 2 inactivations with just 10 days one after the other even without changing town (only changing computer inside the same town) !!!!! after that I reactivated it many times by SMS once they had my phone number, but other times (august 2017 and february 2019), my account was disabled once again, and it became impossible to reactivate it, because... the web pages of "security control" are bugged and no more work !!!!!!!!!!!!!

Back to entry page, or Part 1 : First foundations of mathematics.