The term 'Logical Beginning' can be represented by the crossword solutions NEO (3 letters), GEO (3 letters), IDEO (4 letters), THEO (4 letters), BIO (3 letters), ASTRO (5 letters), ECO (3 letters), ONTO (4 letters), NEURO (5 letters), and PATHO (5 letters). These words are all related to the study of logic, which is a branch of philosophy that deals with the principles of reasoning. NEO, GEO, BIO, and ECO refer to the study of natural phenomena, while IDEO, THEO, ASTRO, ONTO, NEURO, and PATHO refer to the study of abstract concepts such as ideas, theology, astronomy, ontology, neuroscience, and pathology. Together, these words form a logical beginning to the study of logic.