Examples of using Set theory in English and their translations into Serbian
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Set Theory.
Elementary Set Theory.
Set theory as a foundation for mathematics.
I'm talking about set theory.
In set theory, two sets are equal if they have the same elements;
It is also used in set theory and statistics.
Connection between propositional calculus and set theory.
No one had realized that set theory had any nontrivial content.
Sierpinski edited the journal which specialised in papers on set theory.
Set theory Well-ordering theorem: Every set can be well-ordered.
The students know fundamental theorems of Set theory and Mathematical Logic.
The even more general notion of degrees of constructibility is studied in set theory.
To address these problems, set theory had to be reconstructed using an axiomatic approach.
By overlapping different forms he can also be taught the set theory, for example.
Sierpinski began to study set theory and in 1909 he gave the first ever lecture course devoted entirely to set theory. .
This situation cannot be avoided with any first-order formalization of set theory.
Set theory, however, was founded by a single paper in 1874 by Georg Cantor:"On a Property of the Collection of All Real Algebraic Numbers".
For a rigorous modern axiomatic treatment of sets, see Set theory.
Both aspects of set theory, namely, as the mathematical science of the infinite, and as the foundation of mathematics, are of philosophical importance.
Skolem(1934) pioneered the construction of non-standard models of arithmetic and set theory.
For example, many consistency results in set theory that are obtained by forcing can be recast as syntactic proofs that can be formalized in PRA.
In 1908, Ernst Zermelo proposed the first axiomatic set theory, Zermelo set theory.
Basic set theory, having only been invented at the end of the 19th century, is now a ubiquitous part of mathematics education, being introduced as early as elementary school.
Basic elements of modern mathematics-mathematical logic, set theory, real numbers, complex numbers.
The Whitehead problem in group theory was shown to be undecidable, in the first sense of the term,in standard set theory.
In addition, the Cartesian product is defined differently from the one in set theory in the sense that tuples are considered to be"shallow" for the purposes of the operation.
The continuum hypothesis andthe axiom of choice were among the first mathematical statements shown to be independent of ZF set theory.
The relational algebra uses set union, set difference, andCartesian product from set theory, but adds additional constraints to these operators.
In 1973, Saharon Shelah showed the Whitehead problem in group theory is undecidable, in the first sense of the term,in standard set theory.
Having only been invented at the end of the 19th century, set theory is now a ubiquitous part of mathematics education, being introduced from primary school in many countries.
