Foundation of Mathematics
- Describing essence and elements of Mathematics and language of Mathematics
- formal structure and meaning of sentences in language of Mathematics
- logically equivalency and negation and deduction
- idea of sets and first axioms of set theory and operation on sets
- relations on sets and special relations
- function and operation on functions
- Properties of functions and natural functions and families of sets
- natural numbers and constructing integer and rational numbers
- constructing real numbers and their structures
- finite and infinite sets and theorems of counting
- enumerable and denumerable sets
- comparison of sets and cardinals of sets
- Zorn,s lemma and its applications