No one is "pushing" technology, and certainly not against "true mathematical science" which is supposed to exactly mean what? You want the universe to be defined purely by mathematical equations (algorithmic), yet create a special category for human intelligence (not algorithmic), but can’t appear to make the leap that there is no limit w.r.t. artificial intelligence w.r.t. being algorithmic, and hence cannot be modelled by algorithmic mathematical means, but must be modelled, just like humans behaviour essentially, by statistical means, i.e. most likely outcome, but not guaranteed outcome.Ok with this post you reveal you total lack of understanding in mathematics....
Mathematical thinking is not reducible to algorithm at all...Like human thought is not reducible to algorithm at all...Human has no SUPERIORITY at all over living being.... Living beings are superior to A. I. because they form only one universal grounded network in the universe...
Mathematics is about creating concepts... Algorithm is subsidiary to that creation and cannot replace it... For modern thought algorithm are all reducible in principle to Turing machines...The fact that quantum computers will do simultaneous calculi in some virtual quantum spaces does not nullify that...
Read that book about modern mathematical thinking and search in that where he speak about algorithm ….You will not find much about algorithm there you know why? Mathematics is not mainly about algorithm, or computer science, which are only some roads in this vast geography of concepts ….It is not a book for the mass by the way...I bet you will need more than hours to digest it.... :)
Synthetic Philosophy of Contemporary Mathematics ,Fernando Zalamea
Of course, back in the time of Archimedes, the bar was lower for knowledge creation.You dont have a clue about Archimedes methods of thinking at all... You seem to think the guy is some prehistorical engineer who devise ballist arms and some levers projects.... He create calculus before Newton and Leibnitz.... It takes one thousand years of human history to catch with Archimedes use of infinity by the way.... read some books about him : Reviel Nietz