Answers to tasks: What are the main functions of language?

What's the aim of Universal Grammar?
Universal Grammar aims to uncover the principles which characterize all human languages and to reveal the inborn component of the human language faculty that makes language acquisition possible
What's the aim of Theoretical Grammar?
Theoretical grammar presents a theoretical description,it defines main classes of words,their grammatical categories,and also studies sentence formation.
Give the definition of the term syntagma. Name the main types of syntagmas and define each of them.
The combination of two words or word-groups in a segmental sequence, one of which is modified by the other, forms a unit which is called a syntactic "syntagma."There are four main types of notional syntagmas:
1. predicative syntagma, which represents a combination of a subject and a predicate. 
2. objective syntagma, which represents a combination of a verb and its object.
3. attributive syntagma, which represents a combination of a noun and its attribute. For instance: a beautifully dressed girl; my brother.
4. adverbial syntagma, which represents a combination of a modified notional word, such as a verb, adjective or adverb, with its adverbial modifier.
Define paradigmatic relations between lingual units. How do syntagmatic and paradigmatic relations differ from each other?
Elements enter into paradigmatic relations when they have the same potential to appear in the same context and functionally substitute each other. We have syntagmatic elements in a sequence along the horizontal dimension, while along the vertical dimension we have paradigmatic elements in substitution
What are classical examples of paradigmatic relations between lingual units?
The minimal paradigm consists of two oppositional forms and because of this it is called a binary paradigm (e.g. singular and plural of nouns: boy - boys; box - boxes, etc.The grammatical category of the degrees of comparison of adjectives is represented by a ternary paradigm (სამწევრა პარადიგმა) that of the positive, comparative and superlative degrees, such as: large - larger - largest; tall - taller - tallest; beautiful - more beautiful - most beautiful, and quaternary paradigms (ოთხწევრა პარადიგმა) are observed with verbal categories:
play - plays - played - will play;