Complex sentence: Theories that account for the way a listener interprets utterances is the province of linguistic-pragmatics; using the rigorous methodology of experimental psychology to examine and test those theoretical perspectives is what gives the field its name.
Split into simpler sentences: Theories that account for the way a listener interprets utterances is the province of linguistic-pragmatics. It is the use of the rigorous methodology from experimental psychology--to examine and test those theoretical perspectives--is what gives the field its name.