What is this ‘school’ called neoclassical economics?

What is this school called neoclassical economics? Does it exist? Should it? Where does the term ‘neoclassical economics’ come from, and is there any connection between any of the current interpretations of the term and its original meaning? How do we make sense of competing current interpretations? Is there a sustainable formulation? These and related questions are raised and answered in an attempt to bring clarity to ongoing economic discussion and debate, thereby to under-labour for a more relevant academic economics discipline. [ABSTRACT FROM PUBLISHER]