TORI axiom is one of the TORI axioms; it refers to one of the following properties of a scientific concept:
S1. Applicability: The concept has some limited range of validity, distinguishable from the empty set.
S2. Verifiability: In the terms of the already accepted concepts, some specific experiment with some specific result, that confirms the concept, can be described.
S3. Refutability: In the terms of the concept, some specific experiment with some specific result, that negates the concept, can be described.
S4. Selfconsistency: No internal contradictions of the concept are known.
S5. Principle of correspondence: If the range of validity of a new concept intersects the range of validity of another already accepted concept, then, the new concept either reproduces the results of the old concept, or indicates the way to refute it. (For example, the estimate of the range of validity of the old concept may be wrong.)
S6. Pluralism: Mutually-contradictive concepts may coexist; if two concepts satisfying S1-S5 have some common range of validity, then, in this range, the simplest of them has priority.
In TORI, all the 6 properties above are postulated as compulsory for the concepts used in the scientific knowledge. These axioms are repeated at the main page and declared as main topic of TORI. No "proof" of these axioms is available; so, they can be interpreted as a kind of Religion.
http://mizugadro.mydns.jp/PAPERS/2013jmp.pdf D.Kouznetsov. TORI axioms and the applications in physics. Journal of Modern Physics, 2013, v.4, p.1151-1156.
http://pphmj.com/abstract/5076.htm D.Kouznetsov. Support of non-traditional concepts. Far East Journal of Mechanical Engineering and Physics, 1, No.1, p.1-6 (2010)
http://ufn.ru/tribune/trib120111 D.Kouznetsov. Place of science and physics in the human knowledge. Physics-Uspekhi, v.181, Трибуна, p.1-9 (2011, in Russian)