A Coherence of Ramsey Phenomena

摘要

The restricted coexistence as an accumulated status or an idea can be used to explain why so-called Ramsey''s effects or phenomena exist. From this, some properties, for instance, for all integers q> p-1> 2, a deep inequality R(p, q) > R(p -1, q + 2)-1, are proved, based on coherence of Ramsey¡¯s phenomena and the viewpoint of accumulated quantity. Further by known data, we declare finally two Ramsey numbers R(4, 7) = R(5, 5) = 49. The theory is so unusually stunning that it spreads rapidly to all science society and influences permanently people¡¯s views toward many problems from modern science and technology, such as celebrated NP-problem from computational complexity theory or theoretic computer, completeness of axiom systems from formal logic or foundation of mathematics, and so forth.