International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/643 2020 2020 University of New Mexico Mathematics, Physical and Natural Science Division 705 Gurley Ave., Gallup, NM 87301, USA admin admin   In any science, a classical Theorem, defined on a given space, is a statement that is 100% true (i.e. true for all elements of the space). To prove that a classical theorem is false, it is sufficient to get a single counter-example where the statement is false.   Therefore, the classical sciences do not leave room for partial truth of a theorem (or a statement). But, in our world and in our everyday life, we have many more examples of statements that are only partially true, than statements that are totally true.   The NeutroTheorem and AntiTheorem are generalizations and alternatives of the classical Theorem in any science. More general, by the process of NeutroSophication, we have extended any classical Structure, in no matter what field of knowledge, to some NeutroStructure, and by the process of AntiSophication to some AntiStructure 2021 2021 28 33 10.54216/IJNS.130104 https://www.americaspg.com/articleinfo/21/show/643