As a non-mathematician and amateur (in the true sense of the word) of the epistemic (not necessarily the technological can of worms) fruits of the scientific method, my fundamental grasp at this level of all this is admittedly tenuous. But my perspective also allows (compels?) me to view in particular the mathematics (perhaps as a 'cope'…
As a non-mathematician and amateur (in the true sense of the word) of the epistemic (not necessarily the technological can of worms) fruits of the scientific method, my fundamental grasp at this level of all this is admittedly tenuous. But my perspective also allows (compels?) me to view in particular the mathematics (perhaps as a 'cope' ;-) as a near religion, revealed partly by the decades-long failure of such as string 'theory' for certain mathematicians to achieve much other than job security and generally inscrutable ecstasies of 'beautiful' math. And there is also Godel shouting into the void that consistency and completeness are mutually exclusive properties of any axiomatic system with sufficient expressive power. But math does work beautifully at most human scales, just not so precisely predictive at the smallest ones, which our evolutionary infatuation with symmetry compels us to wish for. I fear that AGI may become the Deity in this religion with a priesthood of techies. But I digress...
As a non-mathematician and amateur (in the true sense of the word) of the epistemic (not necessarily the technological can of worms) fruits of the scientific method, my fundamental grasp at this level of all this is admittedly tenuous. But my perspective also allows (compels?) me to view in particular the mathematics (perhaps as a 'cope' ;-) as a near religion, revealed partly by the decades-long failure of such as string 'theory' for certain mathematicians to achieve much other than job security and generally inscrutable ecstasies of 'beautiful' math. And there is also Godel shouting into the void that consistency and completeness are mutually exclusive properties of any axiomatic system with sufficient expressive power. But math does work beautifully at most human scales, just not so precisely predictive at the smallest ones, which our evolutionary infatuation with symmetry compels us to wish for. I fear that AGI may become the Deity in this religion with a priesthood of techies. But I digress...