Examples of using Set theory in English and their translations into Indonesian
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Colloquial
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Ecclesiastic
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Computer
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Ecclesiastic
such as logic and set theory.
including the controversy over Cantor's set theory and the Brouwer- Hilbert controversy.
Modern topology depends strongly on the ideas of set theory, developed by Georg Cantor in the later part of the 19th century.
the continuum hypothesis are consistent with Zermelo-Fraenkel set theory.
quantum theory, and set theory, and created the von Neumann algebra.
proof theory, and set theory.
intended to defend the basic tenets of his set theory.
The Zermelo- Fraenkel axioms for set theory were formulated which provided a conceptual framework in which much mathematical discourse would be interpreted.
Mathematical logic is often divided into the fields of set theory, model theory,
For example, a reductionist regarding mathematics might take any given mathematical theory to be reducible to logic or set theory.
is an axiom of set theory equivalent to the statement that a Cartesian product of a collection of non-empty sets is non-empty.
The most often occurring topics of the seminar are set theory and model theory in their philosophical connections,
A recursive definition using just set theory notions is that a(non-empty)
Euclidean geometry is more concrete than many modern axiomatic systems such as set theory, which often assert the existence of objects without saying how to construct them,
The most often occurring topics of the seminar are set theory and model theory in their philosophical connections,
statistical models as well as information-theoretic tools like neural networks and fuzzy set theory.
Nonetheless mathematics is often imagined to be(as far as its formal content) nothing but set theory in some axiomatization, in the sense that every mathematical statement or proof could be cast into formulas within set theory.
Since so much of mathematics is permeated with set concepts and, for that matter, can actually be made to rest upon set theory as a foundation, the discovery of paradoxes in set theory naturally cast into doubt the validity of the whole foundational structure of mathematics.
Nonetheless mathematics is often imagined to be nothing but set theory in some axiomatization, in the sense that every mathematical statement or proof could be cast into formulas within set theory.
model theory, set theory and recursion theory.