Plato believed that deduction would simply follow from premises, hence he focused on maintaining solid premises so that the conclusion would logically follow.

In accordance with the Greek theorists, the Muslims considered Aristotle to be a dogmatic philosopher, the author of a closed system, and believed that Aristotle shared with Plato essential tenets of thought.

Plato believed the elements were geometric forms ( the platonic solids ) and he assigned the cube to the element of earth in his dialogue Timaeus.

Like Plato, Aristotle believed in an eternal cosmos with no beginning and no end ( which in turn follows Parmenides ' famous statement that " nothing comes from nothing ").

Plato wept while offering her gratitude, as well to a later caller who claimed to be a recovering addict, and told her that he believed everything she said.

Although ancient Greek philosophers believed in individual virtue ethics, philosophers like " Plato, Aristotle, and the Stoics not accept the formal principle that whatever the good is, we should seek only our own good, or prefer it to the good of others.

Plato believed that children would never learn unless they wanted to learn.

The Christian historian Socrates Scholasticus was of the opinion that Julian believed himself to be Alexander the Great " in another body " via transmigration of souls, " in accordance with the teachings of Pythagoras and Plato ".

Plato believed there to be a sharp distinction between the world of perceivable objects and the world of universals or forms: one can only have mere opinions about the former, but one can have knowledge about the latter.

Plato believed in the pre-existence of the soul, which tied in with his innatism.

This theory is similar to reincarnation, though there are differences — for example, Plato only believed in one earthly life.

However, Plato was critical of the sophists ' views because he believed that rhetoric was simply too dangerous, being based in skill and common opinion ( doxa ).

Rather than envisioning an Artificer as Plato did, he believed that the eternal cosmos required no creation.

Like Pythagoras, Plato believed that all things were composed of number, with the Empedocles ' elements taking the form of the Platonic solids.

Plato believed that these ideas are eternal and vastly superior to their manifestations in the world, and that we understand these manifestations in the material world by comparing and relating them to their respective ideal form.

It is likely that Plato believed that virtue was, in fact, a single thing, and that this enumeration was created by others in order to better define virtue.

Mannheim believed that relativism was a strange mixture of modern and ancient beliefs in that it contained within itself a belief in an absolute truth which was true for all times and places ( the ancient view most often associated with Plato ) and condemned other truth claims because they could not achieve this level of objectivity ( an idea gleaned from Marx ).

They believed in a prisca theologia, the doctrine that a single, true theology exists, which threads through all religions, and which was given by God to man in antiquity and passed through a series of prophets, which included Zoroaster and Plato.

Though purported to be one of the dialogues of Greek philosopher Plato, the Sisyphus is generally believed to be apocryphal, possibly written by one of his pupils.

Here he sees a similarity with the philosophy of Plato, who believed that physical phenomena are pale and transient imitations of eternal models or " Forms " ( see Theory of forms ).

It is generally believed that he was at least partly motivated by Stephen Gosson, a former playwright who dedicated his attack on the English stage, The School of Abuse, to Sidney in 1579, but Sidney primarily addresses more general objections to poetry, such as those of Plato.

For Plato however, the soul was not dependent on the physical body, he believed in metempsychosis, the migration of the soul to a new physical body.

Winckelmann believed that art should aim at " noble simplicity and calm grandeur ", and praised the idealism of Greek art, in which he said we find: " not only nature at its most beautiful but also something beyond nature, namely certain ideal forms of its beauty, which, as an ancient interpreter of Plato teaches us, come from images created by the mind alone.

The Ancient Greek philosopher Plato believed that to release another person from ignorance despite their initial resistance is a great and noble thing.

Altogether, the list will give us considerable variety in attitudes and some typical ones, for these critics range all the way from censors to those who consider art above ethics, all the way from Plato to Poe.

While Aristotle censors literature only for the young, Plato would banish all poets from his ideal state.

All through The Republic, Plato attends to the way art relates to the general life and ultimately to a good life for his citizens.

While Plato finally allows a few acceptable hymns to the gods and famous men, still he clearly leaves the way open for further discussion of the issue.

Those who wanted to close the theaters, for example, pointed to Plato's Republic and those who wished to keep them open called on the Plato of the Ion to testify in their behalf.

But contrary to Whitehead, philosophy is not a synonym for Plato.

Consequently, Plato realized that a method for obtaining conclusions would be most beneficial.

Although the authenticity of this epigram was accepted for many centuries, it was probably not composed for Agathon the tragedian, nor was it composed by Plato.

He was a pupil of Proclus in Athens, and taught at Alexandria for most of his life, writing commentaries on Plato, Aristotle, and other philosophers.

Eventually, they returned to Alexandria, where Ammonius, as head of the Neoplatonist school in Alexandria, lectured on Plato and Aristotle for the rest of his life.

After his death, Aeacus became ( along with the Cretan brothers Rhadamanthus and Minos ) one of the three judges in Hades, and according to Plato especially for the shades of Europeans.

The original text is found on the preface Blake printed for inclusion with Milton, a Poem, following the lines beginning " The Stolen and Perverted Writings of Homer & Ovid: of Plato & Cicero, which all Men ought to contemn: ..."

In his dialogues ( e. g. Republic 399e, 592a ), Plato has Socrates utter, " by the dog " ( kai me ton kuna ), " by the dog of Egypt ", " by the dog, the god of the Egyptians " ( Gorgias, 482b ), for emphasis.

However, Empedocles of Acragas, is best known for having selected all elements as his archai and by the time of Plato, the four Empedoclian elements of were well established.

This also makes fire the element with the smallest number of sides, and Plato regarded it as appropriate for the heat of fire, which he felt is sharp and stabbing, ( like one of the points of a tetrahedra ).

Plato ’ s student Aristotle did not maintain his former teacher's geometric view of the elements, but rather preferred a somewhat more naturalistic explanation for the elements based on their traditional qualities.

Plato, for instance writes that " So it is with air: there is the brightest variety which we call aether, the muddiest which we call mist and darkness, and other kinds for which we have no name ...." Among the early Greek Pre-Socratic philosophers, Anaximenes ( mid-6th century BCE ) named air as the arche.

Plato ’ s student Aristotle ( 384-322 BC ) developed a different explanation for the elements based on pairs of qualities.

However, his greatest praise is reserved for Plato, whose apophatic views of God prefigure Christianity.

In refuting the beliefs of the gnostics, Irenaeus stated that " Plato is proved to be more religious than these men, for he allowed that the same God was both just and good, having power over all things, and himself executing judgment.

Therein, Plotinus criticizes his opponents for their appropriation of ideas from Plato: