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A critical study on the concept of identity in Zermelo-Fraenkel-like axioms
Aurelio Sartorelli, Decio Krause, Adonai S. Sant'Anna
According to Cantor, a set is a collection into a whole of defined and separate (we shall say distinct) objects. So, a natural question is ``How to treat as `sets' collections of i…
Time is dispensable in thermodynamics
Newton C. A. da Costa, Adonai S. Sant'Anna
We use Padoa's principle of independence of primitive symbols in axiomatic systems in order to show that time is dispensable in continuum thermodynamics, according to the axiomatic…
The mathematical role of time and space-time in classical physics
Newton C. A. da Costa, Adonai S. Sant'Anna
We use Padoa's principle of independence of primitive symbols in axiomatic systems in order to discuss the mathematical role of time and space-time in some classical physical theor…