UM Math Graduate Student Seminar

Alexander Lazar
University of Miami

will present

Skolem's Paradox

Friday, November 9th, 2018, 5:00pm
Ungar Building Room 402


Abstract:

Skolem's paradox is a result in mathematical logic which seems to say "if
set theory cannot prove a contradiction, then there is a countable set
with an uncountable subset". In this talk we will give a brief
introduction to first-order logic and model theory. Using that foundation,
we will carefully read the statement of Skolem's paradox, and attempt to
understand why it is not actually a contradiction in mathematics.

 


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