Ivonne PallaresUniversidad Autónoma del Estado de Morelos · Filosofía
Ivonne Pallares
Doctor of Philosophy
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Introduction
Article "Why the Axiom of Choice Sometimes Fails"
http://doi.org/10.1093/jigpal/jzaa005
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Publications
Publications (11)
In 1908 the German mathematician Ernst Zermelo gave an axiomatization of the concept of set. His axioms remain at the core of what became to be known as Zermelo-Fraenkel set theory. There were two axioms that received diverse criticisms at the time: the axiom of choice and the axiom of separation. This paper centers around one question this latter...
The early controversies surrounding the axiom of choice are well known, as are the many results that followed concerning its (in)dependence from, and equivalence to, other mathematical propositions. This paper focuses not on the logical status of the axiom but rather on showing why it fails in certain categories.
Las reseñas no incluyen resumen.
We argue here that the meanings of logical connectives need not differ in different logics. treatment of the logical connectives, we argue against the well-known Quinean thesis that a difference between logics implies a difference in the meanings of connectives. We thus locate this change in the difference between certain objects rather than in the...
En este artículo tratamos de hacer plausible la hipótesis de que las conectivas de diferentes lógicas no necesariamente difieren en significado. Utilizando el tratamiento categorista de las conectivas, argumentaremos contra la tesis quineana de que la diferencia de lógicas implica diferencia de significado entre sus conectivas, y ubicamos el cambio...
En este artículo tratamos de hacer plausible la hipótesis de que las conectivas de diferentes lógicas no necesariamente difieren en significado. Utilizando el tratamiento categorista de las conectivas, argumentaremos
contra la tesis quineana de que la diferencia de lógicas implica diferencia de significado entre sus conectivas,
y ubicamos el cambio...
APORTACIONES MATEMÁTICAS Memorias de la Sociedad Matemática Mexicana 41 (2010) 99–117 Artículo TEORÍAS ALGEBRAICAS Y SUS MODELOS
IVONNE PALLARES-VEGA
RESUMEN. Con base en las nociones de signatura Σ y de presentación de una teoría ecuacional o algebraica T = (Σ, A), en este trabajo se define la noción de categoría que clasifica a T , CL(T). Esto...
