The Quinian approach in contemporary philosophy, named after philosopher W.V. Quine, is significant because it emphasizes the interconnectedness of language, logic, and reality. It challenges traditional views on the nature of truth and knowledge, promoting a holistic understanding of how we construct meaning and interpret the world. This approach has influenced various fields within philosophy, such as epistemology and metaphysics, shaping debates on language, ontology, and the nature of scientific inquiry.