If I am well informed this is used in
mathematics. Alas mathematics is my ’’Achilles heel’’.
There is NO logic in mathematic..
One classical example : imaginary and complex and hypercomplex numbers...
No logic here at all....An harmony miraculously emerging from some intuition between geometry and numbers yes.... But logic? None...
Another example would be the description of all animals morphology in their living environemnt related to the relation between the metabolism , the nervous system, and the limbs system... No logic here either....Goethe is the father of this morphological studies....
Sorry to give you this old news....
People who are paid to teach mathematic must be logical and systematic yes in their exposition.... This is not mathematical active creativity this is explanations along some KNOWN roads which the pupil must go along...But the prime number distribution for example cannot be explained LOGICALLY no more than the conic sections... We must PERCEIVE them first... The explanation come FROM the perception and intuition ... Not from logic...
There is an ORDER in mathematic like in Nature...But NO logic...
But there is no logic in nature either... There is no logic in acoustic for example , guess why?
Then take you Fregean class distinctions where they belong to.... The dustbin of human thinking....
Sorry to piss on the parade....
By the way this principle : "primus inter pares" the latin formula for some Roman notion of "equality" in politic is related to what we call the first modern "Law science" , and come from the Roman...And this principle made more sense for human life than all Frege formal and mechanistic distinction....
And a universal language alleged to be suitable for " science" already exist, and one such language is created now by Stephan Wolfram .... It is a complete philosophical non sense but a powerful technology at the origin of what we call "transhumanism", the idolatry of technology....
Science cannot be reduced to ANY logic ....and to any program or model.... Science is not a "logical" activity at all...It is a rational endeavour...
The coherent figure of science come from Reason... And Reason cannot be reduced to ANY prescribed logic at all, save by some people keep safely for themselves in the past in an asylum ...They are now alas! sometimes head of big corporations cartel... they want to create a perfect global united logical world submitted to an artificial intelligence..... Do you want names?
