Overcoming set-theoretic reductionism in search of wider and deeper mutual understanding between mathematicians and scholars of different scientific and humanistic disciplines (Q1287004)

Summary: We propose an open-ended, non-reductionist axiomatic framework, grounded on the primitive notions of quality and relation. In our opinion, this framework should be suitable for engrafting the main concepts of Mathematics, Logic and Computer Science. We give here only some examples dealing with the very first notions of Mathematics. We hope that a free development of this framework will foster a fruitful debate and a critical analysis of the main fundamental ideas of the different scientific and humanistic disciplines, not restricted to ``specialists of Foundations'' only, but rather extended to all interested scholars.