In what way do Godel's incompleteness theorems impact computers/hypercomputers? Do they somehow prevent them from being capable of computing everything (of computing literally all uncomputable/undecidable/illogical/logically impossible things)?
To ask this in another way, if Gödel's theorems "vanished" or otherwise did not hold, would that mean that computers/hypercomputers would be able to compute literally all uncomputable/undecidable things?
To take it a step further: Is it only Gödel's theorems that stop us from computing illogical/logically impossible things? For instance, without Gödel's theorems, could we compute things that are (logically) impossible to depict/describe/compute/conceive (like a circle cutting a straight line in 3 points in Euclidean geometry, which is impossible to draw/depict)? Could we compute illogical/logically impossible things that are (logically) impossible to depict/describe even by words?