Rebuild mathematics with (almost) no
Introduce the fundamental theories of physics
(Relativity and quantum physics)
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
Clever undergraduate students with genuine interests in
mathematics or physics (rather than focused on preparing for
Teachers of mathematics or physics looking for deeper
understandings of their subject;
Any people trying to learn science outside the academic
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
To be as rigorous as possible (everything is
explained, all what is provable is proven from the beginning)
To give powerful and general concepts and tools, avoiding
any unnecessary lengths. Rigor will not dilute or
obscure the meaning. Proofs are usually very short. Pages are
very dense, with many ideas per page to explain everything. The
right formalism will express the highest concentration of
Original (cleaned up and restructured)
approaches are given to most subjects
Emphasis is placed on intuition, deep and
"philosophical" explanations, the main foundational
concepts and paradoxes, the mathematical world.
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.
I wrote this long introduction to the contents of this site and relations
between logic and physics, for the news bulletin of the Iranian Association for Logic in
Why leave the system
I first made an introduction video on youtube (in 3 parts, total is more than 1 hour):
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 are invited to register to this group.
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
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.
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
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).