On 07/01/2024 00:52, Peter Humphrey wrote:
They seemed to say that the subject was founded on two
basic principles; then they proceeded to define each of them in terms of the
other.
I should add, I dug into this sort of stuff, and you do know the entire
edifice of Peano (ie number theory), thanks to Godel, is built on the
edifice that " true == false " :-) ?
Basically, no matter how hard you try, you cannot escape the Cretan Paradox.
To quote some famous mathematician - "If you define a religion as the
irrational belief in the unprovable, then Mathematics is the only
religion that can prove it is one".
That's why the Ancient Philosophers debated how many Angels can dance on
the Head of a Pin. Set aside your prejudices, your beliefs that "that
*must* be stupid", read Terry Pratchett's "Science of Diskworld", and
realise that it doesn't matter WHERE you start, the application of logic
and reason will lead you down the Rabbit Hole into Wonderland.
And modern man is no better at avoiding that trap than the ancients.
Cheers,
Wol
