UAEM

Graduate Student, Faculty of Humanities

About

I'm a PhD student in contemporary philosophy in the Universidad Autónoma del Estado de Morelos under the supervision of Dr. Ivonne Victoria Pallares-Vega. My work is mainly on philosophy of logic and category theory. For the academic year 2010-2011 I was in a research stay at the Bernoulli Institute, University of  Groningen.

I'm working on the analysis of some philosophical claims based on topos-theoretical results ("The objective logic of variable sets is intuitionistic", "The universal, invariant mathematical laws are intuionistic", etc.). My thesis is that current topos theory gives us just part of the concept of topos, and that in a further, more abstract development these claims have just limited application.

I'm also interested in the philosophical bases of universal logic. Particularly, I'm interested in the axiomatic emptiness of logical consequence, an abstract view of what the relata of logical consequence are, and the debate logical monism-logical pluralism.

I did a master in philosophy of science in UNAM supervised by Dr. Pallares-Vega. There I put forward an argument based on topos theory against meaning-variance in different logics.

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