This article introduces an absolute mathematical-philosophical system grounded in eight absolute theorems, eight absolute hypotheses of mathematical infinity, and thirty-two absolute axioms . within this framework, all mathematics—numbers , equations, functions, inequalities , logic and physical constants—emerges as limited special cases. Human cognition , causality, teleology, the indeterminate 0/0 and the undefined 1/0 , beginning and end, and even black holes are reformulated as mathematical arithmetic systems. Classical rational principles and logical axioms are known to be constrained structures rather than foundations . central to the system is a radical identification : axioms as freedom , theorems as responsibility, rendering knowledge itself an act of absolute responsibility. The article derives the old from the new and confronts the reader with the mathematical structure of existence itself .this article is based on three foundational mathematical papers that have already been published . their links are provided at the end of this article , and they constitute the sole references for this philosophical-mathematical work.