Abstract

Paper 1 introduces and formalizes The Knowledge Acquisition Paradox (KAP), which asserts that as knowledge expands, so too does awareness of the unknown, making complete understanding an unattainable goal. The paradox manifests in fields such as epistemology, quantum mechanics, mathematics, and cognitive science. A refined mathematical framework is introduced to model how the expansion of knowledge increases the perceived unknown, incorporating both linear and non-linear growth models. The paper explores how perception, observation, and dimensionality contribute to this paradox and its broader philosophical implications. Scientific and conceptual methodologies for examining the paradox are discussed, bridging theoretical and empirical inquiry.