Adib Ben Jebara





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Adib Ben Jebara. (Tunis, Tunisia)


Book : A philosophy for
scientists Shield Crest Publishing see http://amzn.to/1Lvh2xf


https://www.educationumbrella.com/a-philosophy-for-scientists/9781910176764



Email adib.jebara@topnet.tn


http://adibbenjebara.webstarts.com


Full text ..

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About after life and about Fermat

A soul is partly made of thoughts.


Thoughts are mathematical waves.


Brain waves are something else.


Anything mathematical is eternal (“non-perishable”).


Thus souls are immortal.


Afterlife is for souls, not for bodies.


For the first time in the History of mankind afterlife
is proven to exist in some way.


With afterlife being no more a matter of faith, there
is a new intellectual horizon.




Fermat (1601-1665) did have a proof for Fermat Last
Theorem,


which was not found because of an intellectual planet
Middle Age


since half a century ago.


Fermat Proof is given in the first chapter.


Adib Ben Jebara.


A philosophy for scientists.(text before revision)

A philosophy for mathematicians and physicists

I published “About a time not totally ordered” in WSEAS conference MCSS’15 in Dubai, 22 February 2015 (brochure).
WSEAS : world science and engineering academy and society.
MCSS’15 : mathematical computational and statistical sciences 2015.

A philosophical approach to Fermat Last Theorem
Fermat did not make public his proof for two reasons :
it was only an outline of a proof and he was not satisfied with it (some case missing),
it would have been considered blasphemous by the Church because of some infinite not existing.
He would have had the same problem as Galileo Galilei.

Equation of Fermat :
Considering the equation
with infinite products
z.z.z.z………=x.x.x.x……………+y.y.y.y……….
and considering
countable axiom of choice for at most y elements sets
we assume 5<=x<=y
C(2 through y)
something which exists equal to something which does not exist (z.z.z…..z…..)
the equation has no solution.
Does it imply that the finite equations for n>= 5 have no solutions ?
Intuitively, for me, it is the case.
The relation between finite and infinite has to be investigated according to
Godel theorem that we are always in need of new axioms.
CUSTOM-MADE AXIOM FOR THE PROOF OF FERMAT LAST THEOREM :
The disjoint union of a Cartesian product of a set (of a number of
elements >=5) a number of times >=5 and of another (OF greater
CARDINALITY) set the same number of times being OF THE SAME CARDINALITY
THAN a Cartesian product of a third set the same number of times MAKES :
the equality of the sum of the two cardinalities of the two first infinite Cartesian products with the
cardinality of the third infinite product holds.
(for a set theoretical proof)
Mr Andreas Blass wrote in 2002 about a complication for x,y and z integers less than 5 in :
http://www.math.lsa.umich.edu/~ablass/dpcc.pdf
After centuries of research, we should have thought that a new axiom is needed for Fermat Last Theorem.
The creativity of Fermat should not be doubted.
The proof of Fermat used an equation with infinite products.
It is completed by a set theoretical explanation.
I am the author of « An axiom to settle the continuum hypothesis ? »Logic Colloquium 2004 (by title).


For an extended summary :

http://adibbenjebara.simplesite.com


The continuation (full text) is in :

http://adibbenjebara.simplesite.com/432054008