Philosophy of mathematics: About research
AshEse Journal of Physical Science
Vol. 3(6), pp. 050-051, September, 2019
ISSN: 2059-7827
© 2019 AshEse Visionary Limited
Short communication
Philosophy of mathematics: About research
Adib Ben Jebara
Retired researcher, Tunis, Tunisia. E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.,
This email address is being protected from spambots. You need JavaScript enabled to view it.
Received July, 2019; Date: August, 2019
A statement of Pierre Fermat (1601-1665) challenged mathematicians until today. He claimed to have a short
proof for something and no one found it. Someone found a 120 pages proof that is not even correct because of the use of the axiom of choice which should not be used,
except for a particular form. Fermat was not even paid to do research. Nowadays,
researchers try to get an increase of their salaries instead of being
interested in posterity. A genius against our supermen, who wins? The example of Fermat
is an example of the research having taken a wrong path.
Key words: Philosophy, mathematics, Fermat, Adib Ben Jebara.
INTRODUCTION
About Fermat
A statement of Pierre Fermat (1601-1665) challenged mathematicians until today. He claimed to have a short proof for something
and no one found it. Someone found a 120 pages proof that is not even correct because of the use of the axiom of choice
which should not be used, except for a particular form (particular case).
Fermat was not even paid to do research. Nowadays, researchers try to get an increase of their salaries
instead of being interested in posterity. A genius against our supermen, who wins?
The example of Fermat is an example of the research having taken a wrong path.
About the present research
Nowadays, people only like only old ideas combined, and it has been like that since half a century ago.
No intellectual courage implies no conjectures, only things obvious. So, there is hard work
but no really new ideas. Not to look for real results is the true meaning of bureaucracy. Bureaucracy is from procedures which are sterile or obsolete.
Research suffers from capitalism. Anti-intellectualism is doom and gloom and that is what is happening. Why are people interested in anything
but content?
What research should be done?
It is necessary to introduce new axioms to prove conjectures which resist since a long time.
People are not aware of that,
which is because there is no room for philosophy. Researchshould be a matter of creativity
and not of speed in only one
direction. One of the goals of research should be to simplify what is too much complicated.
What is needed is total quality
management (with its theory extended). Problems should be well identified.
The true meaning of controversy is disagreement,
it is not something shameful but the meaning is perverted. True civilization was born with
Socrates and he was sentenced to
death but people do not know history and do not want any controversy. Intellectuals are
aggressed verbally with the word troll.
Mistakes in mathematics about the unknown are demonized. Progress cannot be made
without mistakes, about the unknown.
The goal of research should be to end doubts where there are doubts.
About applied mathematics
There are some topics which should be considered applied mathematics than physics.
The first topic is the size of an ur-element of space in cosmology, which may be variable. The second topic is the curvature of space
without assuming the existence of dark matter and dark energy. Also, after the Big Bang,
may be particles had mass before the Higgs boson existed.
Miscellaneous
In a different field, about brain waves, some people think that they can really reflect the state of the mind
of a person, which is not obvious. There is also a question of pre-existence of
mathematical waves and their actual existence for characterizing thoughts in my philosophy.
REFERENCES
Adib Ben Jebara (2019). About elementary particles of physics. Ashese J. Phy. Sci.
Adib Ben Jebara (2019). Mathematics: A philosophical approach to Fermat Last
Theorem. Ashese J. Phy. Sci.
Adib Ben Jebara (2019). Philosophy of mathematics: About afterlife and other philosophical thoughts.
Ashese J. Phy. Sci.
Adib Ben Jebara (2019). About entanglement of elementary particles of physics.
Ashese J. Phy. Sci.
Albert Lautman (2006). Mathematics, ideas and the physical world, publisher: Continuum.
Available at:
https://pdfs.semanticscholar.org/3b63/b7554b43e4559cc9bc240b57a3a610ebcc98.pdf