Annie Hall

Marshall Mcluhan in Annie Hall?
i love the scene in the movie where alvi brings in marshall mcluhan to put the professor back in his place but i don’t understand what mcluhan meant by, “You mean my whole fallacy is wrong?”
the statement seems ironic but i dont know what its referring to since i’m not familiar with what he does. does anyone know what it means??
This is what Wikipedia said about MM’s appearance in Annie Hall. You read the whole article at Wikipedia.com:
Marshall and Corinne McLuhan had six children: Eric, twins Mary and Teresa, Stephanie, Elizabeth and Michael. The associated costs of a large family eventually drove McLuhan to advertising work and accepting frequent consulting and speaking engagements for large corporations, IBM and AT&T among them.[12] In September 1979 he suffered a stroke, which affected his ability to speak. The University of Toronto’s School of Graduate Studies tried to close his research center shortly thereafter, but was deterred by substantial protests, most notably by Woody Allen, in whose Oscar-winning motion picture Annie Hall McLuhan had a cameo role; Allen had McLuhan saying to someone, “You know nothing of my work.” This was one of McLuhan’s most frequently expressed statements to and about those who would disagree with him.[28][2]
He never fully recovered from the stroke and died in his sleep on December 31, 1980.
ANNIE HALL – Trailer ( 1977 )