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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