A collection of my philosophical and mathematical research exploring questions at the intersection of logic, metaphysics, epistemology, and rational inquiry.
An examination and defense of Socrates' claim that "the unexamined life is not worth living." This paper explores the philosophical foundations of self-reflection and its role in human flourishing, analyzing the connection between knowledge, virtue, and the good life.
A comparative analysis of the metaphysical claims of Parmenides and Heraclitus regarding the fundamental nature of reality. This paper examines the tension between being and becoming, permanence and change, and their implications for our understanding of existence.
A detailed comparison of the metaphysical frameworks proposed by Plato and Parmenides. This analysis explores Plato's theory of Forms as a response to Parmenidean challenges about change and multiplicity, examining how Plato's system addresses fundamental questions about reality.
A defense of rationalist epistemology and its advantages over empiricist approaches to knowledge. This paper examines the role of reason in acquiring knowledge, the reliability of rational intuition, and the foundational principles that make rational inquiry possible.
An exploration of the connections between Thomistic philosophy and contemporary theological frameworks, with particular attention to how Aquinas's systematic approach to metaphysics and ethics provides foundational principles for modern religious thought.