Skip to main content
Stefan Rigger's user avatar
Stefan Rigger's user avatar
Stefan Rigger's user avatar
Stefan Rigger
  • Member for 9 years, 9 months
  • Last seen more than a month ago
answered
Loading…
awarded
Loading…
awarded
awarded
comment
Dirac measures dense in space of measures?
Do you have a reference for this?
Loading…
comment
Axiom of choice, Banach-Tarski and reality
@NikWeaver I wouldn't put it that way, but it's somewhere along the lines of what I always thought (I don't have expert knowledge of set theory, so that might very well be far from the truth). How do you judge if an axiom is true if not by its consequences?
comment
Axiom of choice, Banach-Tarski and reality
@NikWeaver "We can't decide whether an axiom is true based on whether we like its consequences". But isn't that how axioms where introduced? People didn't prove theorems from set-theoretic axioms before the 20th century, and when the axioms were invented, weren't they designed in such a way that they would express all that people thought was true mathematics as true theorems?
awarded
awarded
revised
References on Vector Partitions
added 5 characters in body
Loading…
comment
References on Vector Partitions
That would be the same partition. If the order is relevant, it's called a vector composition as far as I know.
asked
Loading…
comment
Examples of common false beliefs in mathematics
I had a quantum mechanics course last semester where they actually defined $L^2$-spaces like that, but still didnt have any problem stating $e^{ikx} \in L^2$. Physicists are weird sometimes.
awarded