The paper considers the application of fractal matrix tables for the formalization of ontologies required for the organization of conceptual search. Demonstrated the relations between philosophical, linguistic and information ontologies and logics. Shows that the operational solutions of problems of existence in the search procedures are possible in consideration of the special observers (researchers) as elements of the pictures of the world. Application of fractal matrix tables' formalism for the formalization of ontology gives an opportunity to determine the conditions of complementarity of different subject pictures of the world, and in conformity with this, to build variants of search strategies.