Modern mathematics — the integration of deductive and inductive approaches

Abstract

The deductive procedures don't solve the very important NP-complete problems. Therefore another schemes of calculations were presented. These schemes are realized on quantum and DNA computing. Quantum and biological computations could potentially have vastly more parallelism than conventional ones and solve many famous NP-complete problem. Inductive procedures are very similar to quantum calculations. The estimation error is a superposition of probabilities of vast number of objects and learning samples.