Volume 04 Issue 11-2024
47
American Journal Of Social Sciences And Humanity Research
(ISSN
–
2771-2141)
VOLUME
04
ISSUE
11
P
AGES
:
47-49
OCLC
–
1121105677
Publisher:
Oscar Publishing Services
Servi
ABSTRACT
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.
KEYWORDS
“Adib Ben Jebara’
.
INTRODUCTION
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.
Research Article
TWO SHORT TEXTS ABOUT MATHEMATICS AND PHILOSOPHY
Submission Date:
October 28, 2024,
Accepted Date:
November 03, 2024,
Published Date:
November 09, 2024
Crossref doi:
https://doi.org/10.37547/ajsshr/Volume04Issue11-09
Adib Ben Jebara
Retired Tunis, Tunisia
Journal
Website:
https://theusajournals.
com/index.php/ajsshr
Copyright:
Original
content from this work
may be used under the
terms of the creative
commons
attributes
4.0 licence.
Volume 04 Issue 11-2024
48
American Journal Of Social Sciences And Humanity Research
(ISSN
–
2771-2141)
VOLUME
04
ISSUE
11
P
AGES
:
47-49
OCLC
–
1121105677
Publisher:
Oscar Publishing Services
Servi
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.
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
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.
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.
Short communication about the mathematical sky In
the non-physical sky, there is the sky of Ideas or Forms
of Plato and beside the sky of Ideas there is the sky of
spiritual energies and beside the sky of spiritual
energies there is the mathematical sky.
One question is are spiritual enegies destroyed by the
Big Crunch of the universe ?
But the important question is : are all the thoughts
registered as mathematical waves in the mathematical
sky ?
Volume 04 Issue 11-2024
49
American Journal Of Social Sciences And Humanity Research
(ISSN
–
2771-2141)
VOLUME
04
ISSUE
11
P
AGES
:
47-49
OCLC
–
1121105677
Publisher:
Oscar Publishing Services
Servi
Some thoughts may seem not important and turn out
to be important.
So, may be all thoughts should be registered.
People with outstanding intuition can read from the
mathematical sky.
Reading from the mathematical sky may seem to be
telepathy.
Nowadays people must learn some sobriety for the
div for more activity of the mind.
There is not a philosophy quite new from the Western
World because of extreme specialization since 60 years
ago.
Beyond capitalism is the resolution of management
problems by analysis of causes in total quality
management.
REFERENCES
1.
https://www.aijbm.com/wp-
content/uploads/2024/06/B761013.pdf
2.
https://www.aijbm.com/wp-
content/uploads/2024/08/M78135136.pdf
3.
http://adibbenjebara.blogspot.com
