Introduction to Quantum Logic

This paper develops a framework for quantum logic, integrating mathematical precision with philosophical insights. It formalizes the concepts of superposition, entanglement, and contextuality, extending them through temporal dynamics and memory states. Using set and number theory, it explores the propositional continuum, demonstrating infinite recursive possibilities and their physical constraints. The work challenges classical notions of universal logic, highlighting the epistemic limits of fully realizing or knowing a system constrained by physical and metaphysical boundaries.