Set theory - Sets, elements, set equality, operations between groups (u, n, /, X^{C}, symmetric difference), set of powers, strength, cartasian multiplication, relation, relation multiplication, reflective relations, symmetries, transitives, closed relation to a property, relation of similarity, similarity classes, group of division, surjective functions, injective functions, invertive functions, partial and full order, induction, countable sets, strenght of the flush, the Shredder-Burnstein law, Cantor's law, strength arithmetics.

Combinatorics - Basics of addition and multiplication, permutations, combinations with and without repeats, Newton's binom, identities for binomial precedors, principles of seperation and contain, Euler's function, full disorder, regression relations, solution to linear regression relations, cell division, pigeonhole principle, creative functions.

Logics - sentence calculation: Syntax and semantics - sentences; connections; truth tables; taologics and contradictions; full groups of connections; normal forms; models. Theory of deduction - deduction systems and proofs. Intro to ratio calculation: syntax - portions, nouns, operands and formulas; semantics - interpertations, structural truth and logic truth.