Stephen Montgomery-Smith wrote: > There is clearly a problem that there are > numbers between 1 and googolplex that we can never write down or > meaningfully describe. What makes us think that they are really there?
What makes you think the number 5 is "really there"?
Where, exactly is "there"?
I reject the claim that there is "clearly a problem".
I reject the claim that there is even a single number between 1 and googolplex that I cannot either write down or meaningfully describe. Not one. Go ahead - try me: Name a number between 1 and googolplex that I cannot write down or meaningfully describe.
And why only a googolplex? That's such a tiny number. Almost all natural numbers are bigger than that.
> The responses have led me to think that some people here believe in the > modern axiomatic system like a religion.
One cannot "believe in the axiomatic system" any more than one can "believe in the english language": both exist to express certain statements and proclaim the truth or falsehood of certain claims. There's nothing to "believe" here anywhere. They're merely communiations devices. You might as well tell us that you don't believe in ethernet or some similar nonsense.
-- unwantedinsights.blogspot.com Remove YourClothes before you email me.