NEW RESEARCH

https://www.aijbm.com/wp-content/uploads/2024/06/B761013.pdf

 From: Novel Journal of Applied

Sciences Research
Sent: Monday, February 12, 2024 5:29 AM
To: Adib Ben Jebara
Subject: RE: Article Accepted For Publication
 Dear Dr. Adib Ben Jebara,
Greetings from the journal!
 Thank you so much for your contribution to our journal.
 Your article entitled “Philosophies of Mathematics”.
Has been accepted for publication

The article was not published, the fee not paid.

Short communication about philosophies of mathematics

Adib Ben Jebara

Retired

Tunis, Tunisia

Ajebara2001@yahoo.com

Keywords : “Adib Ben Jebara’

 

1;INTRODUCTION

From Google search :

In the philosophy of mathematics, formalism is the view that holds that statements of mathematics and logic can be considered to be statements about the consequences of the manipulation of strings (alphanumeric sequences of symbols, usually as equations) using established manipulation rules.

In Platonism, the truth-values of our mathematical assertions depend on facts involving Platonic entities that reside in a realm outside of space-time.

 

In the philosophy of mathematics, constructivism asserts that it is necessary to find (or "construct") a specific example of a mathematical object in order to prove that an example exists.

 

For Logicism, mathematics is an extension of logic, some or all of mathematics is reducible to logic, or some or all of mathematics may be modelled in logic.

 

2.MAIN TEXT

As a Platonist, I wrote :

In : Mathematics: A philosophical approach to Fermat Last Theorem

https://www.ashese.co.uk/ajps-v3-issue-2/about-elementary-particles-of-physics

The equation with infinite products zzz…z…=xx…x…+yy…y… with z>y has no solution in the universe where only the restricted axiom CC(2 through x) is true. It is because otherwise the infinite products xx…x… and yy…y… exist but not zzz…z… and we cannot have a side of the equation existing and the other not.

 

And I added in another publication that Desargues wrote

about the infinite in geometry in the 17^th century in France.

And in Logic Colloquium 2004 in Italy, I wrote :

For the continuum hypothesis

Here is a tentative axiom from me to try to prove it.
Axiom :
An infinite subset of the power set of N has a bijection either with a
countable union of (pair wise disjoint) sets of n elements or with a
countable Cartesian products of (pair wise disjoint) sets of n elements.

Mr Andreas Blass proved that this axiom is equivalent to the
continuum hypothesis.

 

3.CONCLUSION

Each philosophy makes some one using it good at some of the tasks.

Formalism makes some one good at combining properties.

Platonism makes some one good at solving problems.

Logicism makes some one good at checking every thing.

Constructivism makes some one good at focusing on things very real.

However, capitalism brought extreme specialization and some

people are not using any philosophy of mathematics.

 

 

In “short communication about why a lot of mathematics are used

in physics” 

I wrote :

“Let us try to apply the axiom of choice of set theory to the vital flow of

biophysics.

Let CC(2 through m) be the countable axiom of choice for sets of n elements,

n from 2 to m.

Let m be the duration of the life of a living cell.

A research is necessary.

m is both a number of urelements of vital flow and a number of moments

of time.”.

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