Abstract: MATH/CHEM/COMP 2002, Dubrovnik,
June 2429, 2002

ON MATHEMATICAL PATTERNS IN CHEMISTRY  THE ALGEBRAIC
AND CHEMICAL ATOMS
Lech Schulz Department of
Chemistry, Adam Mickiewicz University, 61704
Poznań, Poland Does the abstract mathematics
afford patterns for chemistry? It is supposed that mathematics has its own,
autonomous criteria of development and that mathematical creativity cannot be
progressed simply by "blind" listing of possible tautologies.
Simultaneously, applied findings in the independently developed mathematical
areas are rather a rare case. In the present work, it has been shown that
seemingly abstract and presumed not to have any direct application concepts
of pure mathematics lead to the concrete entities encountered in chemistry.
For these reasons, the general definition of mathematical atoms has been
employed to derive objects corresponding to the basic particles of chemistry.
Besides, using a pattern of foundations of arithmetic, a special relation has
been found to determine such atomic species in some chemical categories. The
arithmetical background of chemistry has been indicated in this way. 