The final conclusion is that “if the One is not, nothing is” — Apollodorus
I agree. Which makes the actual Parmenides interesting. Zeno's paradoxes are themselves interesting, highly popular and lead to math that surfaced far later.Plato's Parmenides character is not Parmenides. Uncovering the foibles of the primitive logic of opposites and pluralities and how this evolved from Parmenides to Plato is what reading Plato's Parmenides is mostly about. — magritte
Apparently so. Plato was considered the leading Pythagorean as well as Eleatic of his time. His mathematical preoccupation at times obscures the main discussion making either difficult to separate and follow. Part II of the Parmenides is presented as an exemplary complete lesson in a version of binary logic. Our job is to adjust the premises to fit the conclusions.And wasn't during this time the belief in Greece that all numbers were rational broken by the observations that not all geometric magnitudes can be expressed by rational numbers? — ssu
One way of looking at it is that there were two forms of Heracliteanism. The "extreme" one held that everything was in flux in every way, which meant that things could not have properties. The "moderate" one held that there must be some permanence, otherwise the "eternal flux" itself would be impossible.
Plato obviously rejects extreme Heracliteanism. But he nevertheless holds that sensibles are always in some way becoming. This is why he contrasts the world of Becoming and the world of Being.
The Platonic world of Becoming (the world of sensibles) is similar to the Heraclitean world of flux and, therefore, less than real. The real world is the world of Being which is the world of unchanging intelligibles. — Apollodorus
Another pre-Socratic approach was to say that the Parmenidean One exists but there happen to be lots of them. Each 'den' ("thing" - made-up word, opposite of 'ouden' = no-thing) is indivisible, without parts, absolute being without specific properties such as colour or taste. They buzz around in the vacuum and make up the familiar world of sensible objects and properties. The result is Atomism. — Cuthbert
As far as I can tell, there are two issues:
1. Change itself. For example motion. [Changes]
2. The cause of change: The laws of motion. [Does not change] — TheMadFool
Because of a belief that the truth is beyond words? — frank
This is, then, a single negation summing all the rest and added to them. The One, not being one among all things, is the cause of all. So the general negation represents at the same time the whole progression of all from the One.
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But from another point of view one must say that he first denies everything of the One, thinking that negations are more suited to it than assertions, and keeping the hypothesis which says “is” of the One. But since, as he advances, he has taken away from it not only everything else but also participation in substance and Being, and has shown that it is neither expressible nor knowable, now at the end he rightly removes from it even the negations themselves. For if the One is not expressible and if it has no definition, then how will the negations be true for it?
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He is therefore right in ending with the removal even of the negatives, saying that it is impossible that they should express anything about the One, which is inexpressible and unknowable. And one should not wonder that Plato, who always respects the principles of contradiction, says here that both the assertions and the denials are false of the One at the same time.
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Next then, let us take up the fourth way of solving the problem. The soul ascending to the level of Intellect, ascends with her multitude of faculties, but sheds everything that dissipates her activities. Now going further and having arrived there she comes to rest in the One Being, and she approaches the One itself and becomes single, not becoming inquisitive or asking what it is not and what it is, but everywhere closing her eyes, and contracting all her activity and being content with unity alone. Parmenides, then, is imitating this and ends by doing away both with the negations and with the whole argument, because he wants to conclude the discourse about the One with the inexpressible (Commentary on Plato’s Parmenides, 7.68K-74K).
Sure. It is difficult to tell what Heraclitus taught exactly. But if everything is in constant flux, then the flux itself qua flux must remain the same.
The water in a river may change between the times you step in it, but the river itself as a riverbed with flowing water is the same river - or changes its course sufficiently slowly to qualify as the same for practical purposes.
Heraclitus’ position, if our understanding of it is correct, seems to be similar to the Indian Theory of Momentariness (Kshanika-Vada).
Plato would agree that the physical world is in constant flux, but the intelligible world is changeless. Hence his theory of eternal Forms which Pamenides seems to endorse in the dialogue. — Apollodorus
Change is the only constant — Heraclitus
Change is continuous — Heraclitus
If the world we see is an illusion, there still has to be someone experiencing the illusion. — frank
I also feel that this apparent paradox reflects what Wittgenstein referred to as "bewitchment of our intelligence by means of language" because replace "is the only constant" with "is continuous" in the above statement by Heraclitus and we get... — TheMadFool
Correct. As far as I am aware, Heraclitus believes in an immortal soul. So, presumably, the soul is the changeless element in the midst of a changing world.
Parmenides has a conception of the soul that is quite similar to Plato’s: the soul is immortal and divine and inhabits various bodies as it journeys through the cycle of death and rebirth. — Apollodorus
Yes, language can create as much as solve problems. This is why some believe that truth is to be found in silence. — Apollodorus
We can see why Plato’s Parmenides tends to be regarded as something of an enigma. — Apollodorus
I mean, even if by working terribly hard I could understand this dialogue, what's the point of it? — Cuthbert
This whole dialectical method, which works by negations, conducts us to what lies before the threshold of the One, removing all inferior things and by this removal dissolving the impediments to the contemplation of the One, if it is possible to speak of such a thing. But after going through all the negations, one ought to set aside this dialectical method also, as being troublesome and introducing the notion of the things denied with which the One can have no neighborhood.
For the intellect cannot have a pure vision when it is obstructed intelligizing the things that come after it, nor the soul distracted by deliberation, of the things that are lower than the soul, nor in general is it possible to have perfect vision with deliberation. Deliberation is the mark of thought’s encounter with difficulties. It deliberates only when it is doubtful and falls short of being knowledge.
Just as there deliberation ought to be eliminated from our activity, although it is brought to perfection by deliberation, so here all dialectical activity ought to be eliminated. These dialectical operations are the preparation for the strain toward the One, but are not themselves the strain. Or rather, not only must it be eliminated, but the strain as well. Finally, when it has completed its course, the soul may rightly abide with the One. Having become single and alone in itself, it will choose only the simply One.
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It is with silence, then, that he brings to completion the study of the One (7.74K).
Where do you base this assumption-statement on?Western philosophy began with ontology. — frank
From Homeric myth to what we know as Western philosophy a lot of things have happened. One cannot way that ontology was a (sudden) turn away or a separation or whatever from Homeric myth. They are two totally different worlds.It was a mighty turn away from Homeric myth to secular explanations, if not yet what we would recognize as science. — frank
Plato's dialogues reflect philosophical problems discussed in the Academy. — Apollodorus
Where do you base this assumption-statement on? — Alkis Piskas
Much less can we talk about ontology and science, which have no relation whatsoever. — Alkis Piskas
Have you made this up right now? Because you have not mentioned Thales in your description. It comes after a comment of mine. Anyway, you made it worse, because Thales is not connected to ontology. Parmenides, is. (Whom you did mention.)Where do you base this assumption-statement on?
— Alkis Piskas
Thales. Water. — frank
I can't compete with this! :smile:Much less can we talk about ontology and science, which have no relation whatsoever.
— Alkis Piskas
This is not true. — frank
This seems to be a Plato of abstract mysticism, removed from life completely. Once we've eliminated dialectic and become one with the One, what is left? Perhaps we achieve release from rebirth in nirvana. Shantih. — Cuthbert
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