The One is Infinite or Unlimited. — Apollodorus
What is at issue is not that there are different kinds of number, but what is different about the eidetic kind: — Fooloso4
The point is that Being belongs to a higher intelligible order. — Fooloso4
I believe that Plato should be read on his own terms. — Apollodorus
... the One imposes limitation on itself in order to manifest multiplicity from Forms to Mathematical Objects to the multitude of Particulars that make up the sensible world. — Apollodorus
The denial of the One as a principle of limit follows from Plotinus' rejection of dualism of any sort, especially that which makes the Indefinite Dyad an irreducible first principle of unlimitedness, thereby requiring the One to be a coordinate principle of limit. (From Plato to Platonism)
... by lifting our gaze upward; and by opening our heart, the eye of our soul, to the Light of the One, — Apollodorus
Isn't "one", by its very definition, a unit and therefore limited? — Metaphysician Undercover
Where does Plato say this? If you are referring to what Gerson says, he says that according to the Platonic tradition, (not Plato) , the One imposes limit on the indefinite dyad, thereby producing Forms and Numbers. The One, according to this, does not impose a limit on itself, but on the indefinite dyad. — Fooloso4
As Aristotle says, Plato teaches that from the Great and the Small, by participation in the One come the Forms and the Numbers:
Now since the Forms are the causes of everything else, he supposed that their elements are the elements of all things. Accordingly the material principle is the "Great and Small," and the essence <or formal principle> is the One, since the numbers are derived from the "Great and Small" by participation in the One (Meta. 978b) — Apollodorus
Such stories may be inspiring and suitable for spiritual contemplation, but they should not be mistaken for Plato's metaphysics. — Fooloso4
By the other section of the intelligible I mean that which the reason itself lays hold of by the power of dialectics, treating its assumptions not as absolute beginnings but literally as hypotheses, underpinnings, footings, and springboards so to speak, to enable it to rise to that which requires no assumption and is the starting-point of all, and after attaining to that again taking hold of the first dependencies from it, so to proceed downward to the conclusion making no use whatever of any object of sense but only of pure ideas moving on through ideas to ideas and ending with ideas (Rep. 511b-c).
Isn't "one", by its very definition, a unit and therefore limited? — Metaphysician Undercover
We spin our stories about things we do not know. You take the story you put together from other stories and take it for the truth. — Fooloso4
I think it's more that Plato is being looked at through the prism of Christian Platonism — Wayfarer
How would you look at Plato in such a way as to avoid all appearance of looking at him through a "Christian Platonist" prism? — Apollodorus
Plato, Republic 7.527there is in every soul an organ or instrument of knowledge that is purified and kindled afresh by... studies when it has been destroyed and blinded by our ordinary pursuits, a faculty whose preservation outweighs ten thousand eyes ; for only by it is reality beheld. Those who share this faith will think your words superlatively true. But those who have and have had no inkling of it will naturally think them all moonshine. For they can see no other benefit from such pursuits worth mentioning.
But those who have and have had no inkling of it will naturally think them all moonshine. For they can see no other benefit from such pursuits worth mentioning. — Wayfarer
He also says that Plotinus rejected this because the One cannot be a principle of limitation. It is the Intellect that imposes limit on the One: — Fooloso4
For Plato the Indeterminate Dyad is "an irreducible first principle of unlimitedness." — Fooloso4
In the Philebus, Plato raises the problem of the “indeterminate dyad” . The limited (peras) and unlimited (apieron) is, as Aristotle called it, an indeterminate dyad.
These dyads include:
Limited and Unlimited
Same and Other
One and Many
Rest and Change
Eternity and Time
Good and Bad
Thinking and Being
Being and Non-being — Fooloso4
Cogito ergo sum [I think. Therefore, I am (being)] — René Descartes
Not necessarily. There is a difference between "unit" and "unity". The former refers to one among many, the latter to something that is one in the sense of simple or non-composite.
As unit, one is limited. As unity, it can be unlimited. — Apollodorus
Monism posits a One, but a One can only exist in relation to another. So 'one' already implies 'two'. — Wayfarer
I don't accept any of this. I see no reason why a "unit" must be one among many, and not just a defined "whole", without the need for others to validate the definition. And I see no possible way that "unity" could be unlimited, as necessarily limited by that which unites. — Metaphysician Undercover
Isn't "one", by its very definition, a unit and therefore limited? — Metaphysician Undercover
I think that this is just like the modern difference between ordinal numbers and cardinal numbers, ordinals demonstrating an order, while cardinals count a quantity. — Metaphysician Undercover
Sure but if it's a higher order than rest or motion, how does this make it not simply a third category? — Metaphysician Undercover
Also, remember that this is the position of "the Stranger" ... — Metaphysician Undercover
In the Timaeus, the qualities of Being and Becoming are starkly differentiated: — Valentinus
How does this sort of careful separation of different arguments relate to grand claims of explaining what is happening? It seems like Plato did both. — Valentinus
One of the first distinctions I learned in comparative religion was between monism and non-dualism. Monism posits a One, but a One can only exist in relation to another. So 'one' already implies 'two'. Whereas 'non-dualism' means 'not divided' or 'not two' - which is subtly but crucially different. — Wayfarer
"One" as unity, in the sense of simple or non-composite, need not be limited. — Apollodorus
Indeed, Plato says quite clearly that the One is not a whole consisting of parts and that it is "unlimited" (apeiron). This is precisely why there is nothing else like the One. — Apollodorus
The ordinal numbers are orders of numbers. It applies to anything that is ordered in some way as first, second, third.
Eidetic numbers are relations of eidos or Forms. Their order is determined by kind. — Fooloso4
Rest, Change, and Being are not at the same level of order and so are not counted together. — Fooloso4
Why would Plato write this long, detailed, difficult dialogue if the point is to just to dismiss the Stranger? — Fooloso4
I never saw a clear and coherent definition of "the One" in Plato, perhaps you could show me where this is stated. Nevertheless what I did see stated about the One seemed confused and incoherent, so I tend not to agree with it. I have the same problem with what Plotinus said about the One, though it seems much clearer than what Plato said, it still appears to me to be inconsistent. — Metaphysician Undercover
There is in the universe a plentiful Infinite and a sufficient Limit, and in addition a by no means feeble Cause which orders and arranges years and seasons and months, and may most justly be called wisdom and mind (Phileb. 30c)
“Then the One (to Hen), if it has neither beginning nor end, is unlimited.”
“Yes, it is unlimited” (Parm. 137d)
The objects of knowledge not only receive from the presence of the Good their being known, but their very existence and essence is derived to them from it (Rep. 509b)
To count rest, change, and being as three would be mistaken. Being is a higher order than rest and change. It is not a third thing to be counted alongside them. — Fooloso4
God and the universe do not add up to two, any more than my envy and my left foot constitute a pair of objects. — Terry Eagleton
Have you not read many Platonic dialogues? That's what he did with them. He wrote long difficult dialogues to show the faults of, and dismiss the views expressed by the people taking part in the dialogues. — Metaphysician Undercover
There is a lot more to the dialogues than Socrates pointing out the weaknesses of the arguments of others.
I do not think it is a case of Plato dismissing the views of others, but of you dismissing the dialogues of Plato. — Fooloso4
In "The Sophist", the stranger, from Parmenides' school, is of the opinion that there is a difference between, a sophist, a philosopher, and a statesman, as three distinct intellectual capacities. — Metaphysician Undercover
What is demonstrated by Plato, is that the stranger, who thinks of himself as a philosopher, really behaves in the way that he describes a sophist. — Metaphysician Undercover
So the stranger is therefore the sophist — Metaphysician Undercover
What is demonstrated by Plato, is that the stranger, who thinks of himself as a philosopher, really behaves in the way that he describes a sophist. So the stranger is therefore the sophist, the namesake of the dialogue.
Why else is the dialogue called "The Sophist"?. — Metaphysician Undercover
In contrast, the Sophist uses elaborate arguments, including superficially convincing ones, to claim that there is no higher goal, no means of attaining it, and no need to even think of leaving the cave. — Apollodorus
He was, as you said, from Parmenides' school. It was not a school of sophists. — Fooloso4
I don't understand the basis for calling the Stranger a Sophist. Can you point to one of the arguments he makes by way of example? — Valentinus
Is he mistaken in his opinion? If not, then what is the difference? Why is there a dialogue the Sophist and a dialogue the Statesman, but no dialogue the Philosopher. Where is the philosopher? Are they three? — Fooloso4
Have you noticed how often Socrates' behaves like a sophist? Aristophanes was not simply mistaken when he called Socrates a sophist. — Fooloso4
What is it about a sophist that you think means he must be wrong? The sophists were not all the same, to simply to be dismissed. Their arguments must be attended to, as Socrates did. It should also be noted how often Socrates incorporates parts of what the sophists he is arguing with say. — Fooloso4
He was, as you said, from Parmenides' school. It was not a school of sophists. — Fooloso4
Remember, what is stressed over and over again throughout the dialogue, is that the sophist is hard to catch, appearing just like a philosopher, but really a poser, a pretender. The dialogue has to be read very carefully to see that Plato is portraying the stranger as a sophist, pretending to be a philosopher. — Metaphysician Undercover
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