Study of Three Conditions of Impossible Regress

Some philosophers have tried to justify the existence of infinity in collections such as chains of numbers، temporal contingent and abstract souls by three conditions: actuality، coming together and succession and protected mentioned collections against arguments of absurdity of the infinite regress. In this paper، we show that appealing to mentioned conditions to exit chains of numbers، temporal contingent and abstract souls from circle of actual infinity is not successful. Inseparability of numbers and multiplicity in the first condition، lack of appropriate meaning of the term «coming together» in the second one and consideration of limitations of human minds in justification of the third condition cause these conditions to encounter serious challenges.