Continuum hypothesis was used in set theory. We have using contiuum hypothesis in physics also. Plsease tell me about it.
I can only make a suggestion here. It is known that the continuum hypothesis cannot be proved False or True. However, if you assume either way, it does not `break' set theory. In standard set theory I think it is assumed to be True.
Interestingly, there are a few proofs I am aware of which rely on the Continuum hypothesis False. Perhaps there are some physics theorems which rely on the Continuum hypothesis being False and hence why it is mentioned in physics. However, I know very little about physics. Perhaps someone in this area can help out. I am interested to find out too.
Cheers,
Jack
Dear Esakki,
This is a fundamental question.
If you look the modern mathematical creature of Physics you will notice that continuum hypothesis is present almost everywhere:
- the continuum of the so called 'spacetime' after Minkowski
- the continuum of all kind of fields, classical or quantum
We could argue that most theories are based on that hypothesis.
@Demetris
They continuum hypothesis isn't a hypothesis simply stating that continuums exists .
It is a hypothesis saying that there does not exists a set whose cardinality is smaller than that of the real number and larger than that of the natural numbers.
- Badges
- Science topic
- Similar topics
- Physics