Many problems seem to be so hard to solve that machines wouldn't be able to break through them.
But we just don't know (theorically) if this is true or not:)
There are (afaik) three theories:
some problems cannot be solved by a machine (and that's fine)
all problems are solvable by a machine, given a certain amount of time, memory, etc... we don't have for now the right algorithm, that's all (bye bye security ?)
we just can't make up our mind (no one will [ever ?] know !)
this is about the complexity theory, more links here.
Many problems seem to be so hard to solve that machines wouldn't be able to break through them.
But we just don't know (theorically) if this is true or not :)
There are (afaik) three theories :
this is about the complexity theory, more links here.