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History of Quantum Physics
 
 

 

 

Which kind of mathematics for Quantum Mechanics? A survey and a program of research.

In previous papers I reviewed past contributions untill to 1970 to the debate about the relationship of theoretical physics (=TP) with classical mathematics (=CM) which notoriously includes actual infinity (e.g. Zermelo's axiom). In this communication I will ...<continue>

 

 

Which kind of mathematics for Quantum Mechanics? The relevance of H. Weyl's a program of research.
In 1918 Weyl's book Das Kontinuum planned to found anew mathematics upon more conservative bases than both rigorous mathematics and set theory. It gave birth to so-called Weyl's elementary mathematics, i.e. an intermediate mathematics between the ...<continue>

I diversi approcci alla logica quantistica.

From the first proposal of a non classical logic for Quantum Mechanics (QM) by Birkhoff and von Neumann in 1936, many efforts followed in order to clarify in which sense Quantum Logic (QL) is different from classical logic. Birkhoff and von Neumann's distinction between ...<continue>