Applying the negation of the axiom of choice
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About research in mathematics and philosophy of mathematics
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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.
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.
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