https://www.aijbm.com/wp-content/uploads/2024/06/B761013.pdf
From: Novel Journal of Applied
Sciences ResearchSent: 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
Short communication
about philosophies of mathematics
Adib Ben Jebara
Retired
Tunis, Tunisia
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 17th 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
“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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