About research in mathematics and philosophy of mathematics
Mathematics are giving shape to the physical world. To reduce mathematics to logic is like reducing physics to mathematics.
Mathematics are a way to contemplate Good which is a way to contemplate God.
The evolution of the philosophy of mathematics is slow, for instance platonism is always here.
Either set theory will be increasingly used in physics and other sciences or it will remain just a part of mathematics.
What will happen is probably something in the middle with isolated researchers finding out how to apply it.
There will be more set theory taught and less logic as set theory will show even more its usefulness in the remaining parts of mathematics.
Platonism will be more spread because less dogmatic about what exists.
Nowadays, research in mathematics and in philosophy of mathematics make complicated things even more so. This occurs as a lack of creativity.
Some are fatalist about it, thinking that the great theories are already made.
The future will contradict them as new theories will appear.
The new theories are not always accepted at once.
Adib Ben Jebara. jebara.topcities.com
you should read the works of colin leslie dean about the meaninglessness of mathematics and science
he says
mathematics ends in meaninglessness -ie self contradiction paradox gamahucherpress.yellowgum.com/bo … ience4.pdf
The absurdities or meaninglessness of mathematics and science: paradoxes and contradiction in mathematics and science which makes them meaningless, mathematics and science are examples of mythical thought, case study of the meaninglessness of all views
gamahucherpress.yellowgum.com/bo … nality.pdf
Absurdities or meaninglessness or irrationality is no hindrance [sic] to something being ‘true’ rationality, or, Freedom from contradiction or paradox is not a necessary an/or sufficient condition for ‘truth’: mathematics and science examples
mathematics is in crisis as it uses ad hoc axioms thus indicating it is not based on sound principles
GODEL’S INCOMPLETENESS THEOREM. ENDS IN ABSURDITY OR MEANINGLESSNESS GODEL IS A COMPLETE FAILURE AS HE ENDS IN UTTER MEANINGLESSNESS CASE STUDY IN THE MEANINGLESSNESS OF ALL VIEWS
The irrational and illogical nature of science and psychoanalysis: the demarcation of science and non-science is a pseudo problem; Freud invalidates and transcends the epistemology and enlightenments notions of science: science looses [sic] its position as a privileged and special method of truth
the similarities between maths and psychoanalysis gamahucherpress.yellowgum.com/bo … _psych.pdf
The absurdities in psychoanalysis and science that make psychoanalysis a science : reasons sociology, epistemology, ontology and metaphysics why psychoanalysis is a science; meaninglessness
I just thought of something. The present quantum theories are basically built on mathematical equations. If mathematics is equivalent to platonism then couldn’t we also say that quantum mechanics is, in a sense, platonic? I mean, mathematics is only a model we made up to describe the world, it is not an actual physical thing we can observe in nature.
