Television commercials have been seen advertising special sunglasses that allow differing amounts of light to the left or right eye, thereby to treat mood disorders. because there is no science that supports these claims, this product demonstrates the principle of

 Because there is no science that supports the claim that there are special sunglasses that allow differing amounts of light to the left or right eye and thereby helping to treat mood disorders, these special sunglasses demonstrate the principle of extraordinary claims. Extraordinary evidence is required in order this statement to be true and proofed. 

The correct answer is the principle of extraordinary claims

.In 1979, an astronomer, Carl Sagan, stated that "Extraordinary claims require extraordinary evidence". By this he meant that claims that cannot be backed up by scientific evidence are highly questionable. In this instance, where television commercials advertise special sunglasses that allow differing amounts of light to the left or right eye,there is no scientific evidence that these "special sunglasses" function this way, thus demonstrating the principle of extraordinary claims.