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pro vyhledávání: '"Sant'Anna, Adonai S."'
We introduce a general theory of functions called Flow. We prove ZF, non-well founded ZF and ZFC can be immersed within Flow as a natural consequence from our framework. The existence of strongly inaccessible cardinals is entailed from our axioms. An
Externí odkaz:
http://arxiv.org/abs/2010.03664
Autor:
Sant'Anna, Adonai S.
Publikováno v:
Quantum Studies: Mathematics and Foundations, 2019
Quasi-set theory $\cal Q$ allows us to cope with certain collections of objects where the usual notion of identity is not applicable, in the sense that $x = x$ is not a formula, if $x$ is an arbitrary term. $\cal Q$ was partially motivated by the pro
Externí odkaz:
http://arxiv.org/abs/1910.02288
Autor:
Sant'Anna, Adonai S., Bueno, Otavio
In the early 1990's A. Elitzur and L. Vaidman proposed an interaction free measurement (IFM) that allows researchers to find infinitely fragile objects without destroying them. But Elitzur-Vaidman IFM has been used only to determine the position of o
Externí odkaz:
http://arxiv.org/abs/quant-ph/0503189
Autor:
Sant'Anna, Adonai S.
Elementary particles in quantum mechanics (QM) are indistinguishable when sharing the same intrinsic properties and the same quantum state. So, we can consider quantum particles as non-individuals, although non-individuality is usually considered as
Externí odkaz:
http://arxiv.org/abs/quant-ph/0409025
Autor:
Sant'Anna, Adonai S.
It is well known that in Zermelo-Fraenkel (ZF) set theory any finite set is decidable. In this paper we discuss an extension of ZF where this result is no longer valid. Such an extension is quasi-set theory and it has its origin on problems motivated
Externí odkaz:
http://arxiv.org/abs/quant-ph/0409001
Autor:
Sant'Anna, Adonai S.
Quasi-set theory is a first order theory without identity, which allows us to cope with non-individuals in a sense. A weaker equivalence relation called ``indistinguishability'' is an extension of identity in the sense that if $x$ is identical to $y$
Externí odkaz:
http://arxiv.org/abs/quant-ph/0408168
Autor:
Sant'Anna, Adonai S.
In a recent paper Andrei N. Soklakov explained the foundations of the Lagrangian formulation of classical particle mechanics by means of Kolmogorov complexity. In the present paper we use some of Soklakov ideas in order to derive the second law of th
Externí odkaz:
http://arxiv.org/abs/math-ph/0408040
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 indistinguishable objects?". This is the aim of quasi-set theory, and t
Externí odkaz:
http://arxiv.org/abs/math/0106098
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 formulation of Gurtin and Williams. We also show how to define time b
Externí odkaz:
http://arxiv.org/abs/math-ph/0104032
Publikováno v:
Found.Phys.Lett. 14 (2001) 553-563
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 theories. We show that time is eliminable in Newtonian mechanics and that s
Externí odkaz:
http://arxiv.org/abs/gr-qc/0102107