Vdovin (1949-2007), the creator of a new axiomatics of the
set theory.
By stating the non-Aristotelian premises in the
set theory notation that we used (a Bourbaki algebraic dialect), we showed these premises as acceptable, as judged by the logical standards of
set theory.
This paper investigates the potential of intuitionistic fuzzy soft
set theory in real-time flood warning.
Abstract: Rough
Set Theory (RST) is a technique for data analysis.
This new insight was obtained when examining uncertainty by means of mathematical theories more general than classical
set theory and classical measure theory.
In
set theory, one comes across the notion of "vacuous truth".
Despite sounding like something out of science fiction fantasy or theoretical physics, depending on who you run with, the question of possible worlds has been debated in certain philosophical circles since the turn of the twentieth century, ranging from
set theory in mathematics to modal philosophy to semiotics.
In 1938, logician Kurt Godel proved that the continuum hypothesis is consistent with the standard axioms of
set theory. Then in 1963, Paul Cohen, now at Stanford University, proved that the opposite of the continuum hypothesis--the assertion that there is actually an infinite set that is bigger than the set of counting numbers but smaller than the set of real numbers--is also consistent with the axioms.
And so are the fading memories of those one-time students who were made to trade their Slinkys for slide rules and who were taught, briefly, citizenship in
set theory.
In Where Mathematics Come From (Basic Books, 2000), George Lakoff and Raphael Nunez apply theories of metaphorical conceptualization and the cognitive unconscious in an attempt to demonstrate that mathematical constructs such as arithmetic, algebra, logic,
set theory and infinity are based on metaphors derived from embodied human experience in the physical world.
Isermann says fuzzy logic emerged from work on fuzzy
set theory in the 1960s.