What is the Principle of Non-Contradiction (PNC)? Is it justified to refer to it as the Law of Non-Contradiction (LNC)? Elaborate. What is the relevance. if any, of PNC/LNC for our knowledge of reality?
Explicate Zeno’s Dichotomy Paradox (aka the Racecourse Paradox). You must supplement any diagrammatic illustration you may offer with precise verbal exposition. What are the salient metaphysical and/or epistemological implications of Zeno’s paradoxical conclusion? What is the relevance to the Dichotomy Paradox of Gauss’s demonstration that the arithmetical series {1/2 + 1/4 + 1/8 + 1/16 + . . . } sums to unity? Discuss and evaluate at least one prospective resolution (or dissolution) of the Dichotomy Paradox.