It was the influence of this authority that Bruno, in the interests of true philosophy and science, set to work to undermine. The charge which he brought against Aristotle was the same as that which Bacon afterwards brought--that he attempted to explain nature by logical categories. "It is not strange that from impossible, logical, and imaginary distinctions quite discordant with the truth of things, he infers an infinite number of other untruths" (_inconvenientia_).[162] "Matter is formless only to logical abstraction, as with Aristotle, who is constantly dividing by reason what is indivisible according to nature and truth:"[163] "a logical intention (or concept) is made into a principle (or element) of nature."[164] However unfair and indeed absurd the charge must appear when Aristotle is considered in his actual place within the development of philosophy and science, and however far Bruno or Bacon or any of the nature-philosophers of the Renaissance was from avoiding the use in explanation of similar purely logical or metaphysical conceptions, it was still a great and necessary step to call attention to the need of observation and experiment upon nature, and to the value of mathematics as a method of calculating and correlating the phenomena observed. This was a second objection to Aristotle, that he despised mathematics, "being too much of a logician (and stronger in criticism than in argument)," yet, Bruno adds, "when he sought to explain any of the more profound facts of nature, he was often driven by necessity to the repudiated mathematics." Many of Bruno's own mathematical applications savour rather of Neopythagorean mysticism than of the spirit of modern science, and his geometry was far from Euclidean, but he at least made a serious attempt to account for the building-up of bodies and of the universe on mathematical principles. A third objection, which again we find in Bacon, is as to Aristotle's treatment of his predecessors. His depreciation of them is condemned in the _Causa_:--"Of all philosophers I do not know one who founds more upon imagination, or is further removed from nature than he: and if sometimes what he says is excellent, we know that it does not spring from his own principles, but is always a proposition taken from other philosophers."[165] In another passage he is described as a "dry sophist, aiming with malicious explanations and frivolous arguments to pervert the opinions of the ancients, and to oppose the truth, not so much perhaps through imbecility of intelligence as through the influence of envy and ambition."[166] So Bacon speaks of him as imposing "innumerable fictions upon the nature of things at his own will: being everywhere more anxious as to how one should extricate oneself by an answer, and how some positive reply in words should be made, than as to the internal truth of things."[167] In particular it was argued that Aristotle confused the various meanings of the