Let us say in passing that since (philosophical) remedies are often worse than the malady, our age, in order to be cured of the Plato sickness, has swallowed such doses of a relativist, vaguely skeptical, lightly spiritualist and insipidly moralist medicine, that it is in the process of gently dying, in the small bed of its supposed democratic comfort.
It is noteworthy that modern Platonists , almost without exception, are ignorant of mathematics, in spite of the immense importance that Plato attached to arithmetic and geometry, and the immense influence that they [these studies] had on his philosophy. This is an example of the evils of specialization: a man must not write on Plato unless he has spent so much of his youth on Greek as to have no time for the things that Plato thought important.
Plato gave a healthful stimulus to the study of stereometry [solid geometry], which until his time had been entirely neglected. The sphere and the regular solids had been studied to some extent, but the prism, pyramid, cylinder, and cone were hardly known to exist. All these solids became the subjects of investigation by the Platonic school.
The Eudemian Summary says that Eudoxus "first increased the number of general theorems, added to the three proportions three more, and raised to a considerable quantity the learning, begun by Plato, on the subject of the section, to which he applied the analytical method." By this 'section' is meant, no doubt, the "golden section" ( sectio aurea ), which cuts a line in extreme and mean ratio. The first five propositions in Euclid XIII. relate to lines cut by this section, and are generally attributed to Eudoxus.
Since the time of Plato and Aristotle philosophers have had an interest in taking note of common fallacies in reasoning.randal marlin
While [Plato] affirmed with emphasis that the place of the individual in society should not be determined by birth or wealth or any conventional status, but by his own nature as discovered in the process of education, he had no perception of the uniqueness of individuals. For him they fall by nature into classes, and into a very small number of classes at that.john dewey
He was a man, which, as Plato saith, is a very inconstant creature.Plutarch
Plato defined a slave as one who accepts from another the purposes which control his conduct. This condition obtains even where there is no slavery in the legal sense. It is found wherever men are engaged in activity which is socially serviceable, but whose service they do not understand and have no personal interest in.john dewey
Plato began his philosophic career as the result of a conversion. This is surely an existential beginning.
Where Plato and Aristotle had asked the question, What is man?, St. Augustine (in the Confessions ) asks, Who am I? and this shift is decisive.
The Christian priesthood, finding the doctrines of Christ levelled to every understanding, and too plain to need explanation, saw in the mysticism of Plato, materials with which they might build up an artificial system, which might, from its indistinctness, admit everlasting controversy, give employment for their order, and introduce it to profit, power and pre-eminence. The doctrines which flowed from the lips of Jesus himself are within the comprehension of a child:;; but thousands of volumes have not yet explained the Platonisms engrafted on them; and for this obvious reason, that nonsense can never be explained.
Since the time of Plato and Aristotle philosophers have had an interest in taking note of common fallacies in reasoning.
I have read in Plato and Cicero sayings that are very wise and very beautiful; but I never read in either of them, "Come unto me, all ye that labor and are heavy laden."
Amicus Plato, sed magis amica veritas.
[Aristotle] totally misrepresents Plato 's doctrine of "Ideas." ... It is also pertinent to inquire, what is the difference between the "formal cause" of Aristotle and the archetypal ideas of Plato? ... Yet Aristotle is forever congratulating himself that he alone has properly treated the "formal" and the "final cause"!
It is not in Science only that Plato is misled by his Method. The same confidence in deduction from unverified premisses vitiates his teaching in every other department of inquiry, moral and political; but in Science his errors are more patent, because his statements admit of a readier, and less equivocal, confrontation with fact.george henry lewes
It is no idle question to wonder whether Plato, if he had stayed free of the Socratic spell, might not have found an even higher type of the philosophical man, now lost to us forever.
One profound lesson Plato teachers, albeit not by design, is that Plato himself, considered by many the greatest of all philosophers, could not construct the perfect society. He sought to avoid the disintegration of society and the onset of tyranny, but his solution was a totalitarian City destructive of human nature. Regrettably, Plato provided a philosophical and intellectual brew for a utopian society that would influence tyrannies for centuries to come.
The New Deal gave us a proliferation of alphabetized federal agencies to do what Plato envisioned could be done, namely to plan for and direct the course of economic systems.
We know only what we do, what we make, what we construct:;; and all that we make, all that we construct, are realities. I call them images , not in Plato 's sense (namely that they are only reflections of reality), but I hold that these images are the reality itself and that there is no reality beyond this reality except when in our creative process we change the images: then we have created new realities.
There is thus a certain plausibility to Nietzsche's doctrine, though it is dynamite. He maintains in effect that the gulf separating Plato from the average man is greater than the cleft between the average man and a chimpanzee.walter kaufmann
Actually, the gap between say Plato or Nietzsche and the average human is greater than the gap between that chimpanzee and the average human.