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 even for free (because everybody is much too busy wasting their time in the f**g system to ever think about doing something more meaningful). I do not consider going to America nor Africa, but elsewhere if you would be interested or you know places where such students can be found, you can please write me, so if a group can be made I might consider to come.
Students might eventually register to this group but it is always better to write me email anyway.
For a long time I wished to offer such free teaching, but could not find a chance to do it anywhere; even organizers of non-institutional science teaching are sticked to old methods; here is an anecdote about it.
Thanks for the link added by the author of this page, but I have offered to join and present my approach there and they refused... I wrote the below message in facebook:
I see that your program for this summer includes some introductions to Special and General relativity following the usual old unclarified approach. I had offered to come and present my approach to these subjects, but got the organizer's reply that you prefer to not invite me because of the inconvenience of making it in English. (...) I doubt that considering all aspects, you will make things any clearer in your way (...). Indeed the very title you give for that course, insists that things will appear paradoxical. That is, things will seem strange and hard to figure out. Indeed, the usual approach that you follow (because, all teachers follow each other as I explained in my video), has the inconvenience of making things appear obscure and more complicated than necessary, somehow feeling illogical (of course there is no contradiction but I speak about the impression it gives). My own view, on the other hand, focuses on the aspects of how things are simple and coherent according to the physical world's internal logic, and thus better understandable. (...) I will be available to independently offer my teaching (for free), I just do not know how to organize this (time and place). And without selecting students, so anyone interested can write me privately and we'll see if how we can organize.
which was deleted, with the reaction that the author did not consider his approach as an "old and thoughtless repetition".. well, did I need to specify that I meant "old and thoughtless repetition" in a relative manner.... that is, lacking the harder work that would be needed by the teacher to make it more clearly and easily understandable for students.

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 (look here for how).

About the author

Sylvain Poirier (one of maybe around 200 homonyms worldwide according to facebook search)
From Le Havre, France (and probably the only one from there)
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.


Email : trustforum at gmail.com
A facebook account I sometimes losed access to just because of their "security procedures"... and where I give some news, though I keep the main interesting long-term content in my web sites

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