Parmenides and non-Parmenides
First off, I’m not sure we can say the philosophy of Parmenides exactly “works”. That is, I don’t think we can take his ideas as precepts. Because, essentially, Parmenides speaks of the impossibility of speaking truthfully about things that do not exist. So, even this paragraph is a problem: Parmenides does not exist, so I can’t talk about him.
On the other hand, maybe philosophy is simply not precept-giving. To live “philosophically” seems to mean living in and through ideas, but not necessarily by ideas. It is essentially non-creedal. I think the ideal model for living philosophically is Proust’s narrator, who lives through thoughts, but never really comes down to a final creed as much as a series of interesting ideas and impressions. Parmenides gives us interesting and very profound ideas, but nothing like the “last word” on the subject of Being.
Parmenides of Elea comes to us most directly through a poem, which later writers called “On Nature”, that only exists in fragmentary form. The poem begins with Parmenides being carried along the “resounding road of the goddess” by a chariot drawn by two wise mares, led by two maidens who go “wherever there is light”. They come to a gate separating the “ways of Night and of Day”. Here he meets an unnamed goddess, who addresses Parmenides: “It is necessary that you should learn all things, as well the unshaken heart of well-rounded truth; as there is no true belief in the opinions of mortals. Nevertheless, you shall learn these (opinions) also, how the appearances, which pervade all things, had to be acceptable.”
I take the goddess to be basically a literary conceit: Parmenides wants to put forth his ideas and justifies those ideas by presenting them as divine revelation. I also suspect her promise to explain appearances suggests why the first part of the poem, the Aletheia, seems at odds with the second, the Doxa.
The goddess doesn’t make her revelation easy. In lines 31-40, she tells us that there are only two ways of inquiry that can be conceived: 1.“one says ‘exists’ and ‘it is not possible not to exist’” This is the “way of persuasion” (following truth). The other (2) says “exists-not” and that “not to exist is necessary”; the goddess says that “this is a path that is wholly unknowable”. In other words, there is Being and there is non-Being and the second is logically unthinkable.
This reminds me of Plato’s distinction between Being and Appearing. Henri Bergson calls non-Being a “pseudo-idea”, and Parmenides is basically saying that there is a choice but that all explanations from non-Being (and it stands to reason cosmological explanations in particular) are unknowable. He says “we can think and say Being” but, “nothing is not.”
On one hand, this is an easy statement to accept. I cannot say, “There is no two-headed man” because I’m making a truth statement about something that does not exist, which is therefore a statement devoid of meaning.
On the other hand, think of all the things we can’t talk about. I can’t even tell you a story about Rufus at age five falling down and needing stitches because “Rufus at age five” is a being that “does not exist”. If you cut out everything that “does not exist” we can talk about very little.
Parmenides also rules out explanations of change. He tells us that Being cannot be generated from non-Being. Parmenides: “Being is ungenerated and imperishable, whole, unique, immovable and complete. It was not once nor will it be, since it is now altogether, one, continuous.” So we can’t talk about the past or the future, or anything outside of Being without speaking untruth! Some have taken Parmenides to be talking about a sort of eternal present. Past and Future are a measure of process, and unknowable, while Being is an identity within a sort of “atemporal eternity”. Maybe a softer line is that Parmenides is just saying that Past and Future can’t be predicated from Being, and although they might exist, they’re unknowable.
Maybe this is going too far and we should just say that, if we want to know truth, we can only speak of the fact of Being. One notes how “existentialist” this is.
Plato characterizes Parmenides idea of Being as a “doctrine which asserts that all things are one and that there is no change or movement whatever in this one reality.” Elsewhere, the doctrine of the Eleatic school is held to be “the unity of all things”. This is also a serious dilemma that Leonardo Tarán summarizes: “since any difference from Being is absolute non-Being, and as such unthinkable, no account of the world of difference and change can be valid.”
Parmenides goes on to explain that people have erred in separating two forms, one an ethereal flame and the other a dense body of night. The identity of what is precludes the existence of anything else, including, according to the goddess, the way of the senses, which is non-Being. Nevertheless, the rest of the poem talked a lot about the sensible world, including physiology, cosmogony, and psychology. Some suggest the Aletheia and the Doxa are therefore at odds. Nietzsche tried to explain the Doxa as a youthful work and the account of Being as written in old age; even though they’re at odds, Parmenides kept the Doxa for nostalgic reasons. It’s a bit of a stretch. I think Parmenides is just describing what we cannot describe: the world of Appearances.
Ultimately, what I take from Parmenides is a sort of radical skepticism about how much we can logically or accurately say about the world. We can take Parmenides not a doctrine so much but a corrective to excessive confidence about our own interpretations of the world of appearances, which are not untrue (here’s where I might disagree with Parmenides) but remain, on some level, subjective fictions, and not objective truth statements. Given the intensity of human conflicts about these interpretations, it probably is useful to take our own interpretations with a grain of salt.
Endnotes:
1. I’d like to start digging into Plato next. If there are any other pre-Socratics that we simply cannot skip over, please let me know.
2. Also, it might be a bit of horn-tooting, but I’d just like to note that, in the last week or so, at the League, we’ve discussed: the Pope and the current scandal, health care cost controls, Heraclitus and Parmenides, fiscal austerity in Lithuania, the meaning of the Resurrection in Christian doctrine, Sappho, Conservative Rap, Red Tories, Ugandan anti-gay laws, energy security, the GOP’s political rhetoric, Easter, serious reading, and about a half-dozen other things. That’s certainly something to praise, I think.
I have to wonder how much of Parmenides is one big joke. Like you mention, he opens up the poem with him riding on a chariot with a bunch of women, all these noises, and cheats his way past the gates to meet the Goddess. This does nothing but invalidate his philosophy.
And moreso, at the end of the Aletheia we are told that all of reality is one big sphere. Which leads me to wonder how we could say that. Doesn’t a sphere require a border? How can all of reality border with the nothing which is not? It’s like it’s meant to break down. How much is serious, I don’t know, but I don’t think we are meant to agree with the conclusion.Report
Yeah, that might be true. Like you say, the fact that Being has limits seems to imply non-Being, even though he continually says there’s no such thing.
Another thing, which obviously wasn’t intentional, is just how fragmentary it is. One of the fragments reads: “It is indifferent to me where I make a beginning; for there I come back again.” Proculus, who preserved it, thought that has to do with being. But it’s just such a small fragment that it could be about being, or a conversation, or a sphere, or Parmenides’ own voyage, or… really just about anything!
But, indeed, it’s probably a problem that we have very little of the original poem and it already seems to be breaking down.Report
Oh, how I hate most philosophers!
The long chains of reasonings, simple and easy, by which geometricians are wont to achieve their most complex proofs, had led me to suppose that all things, the knowledge of which man may achieve, are strung together in the same way, and that there is nothing so distant as ultimately to be beyond our mental grasp, or so hidden that we cannot uncover it, provided only we avoid accepting falsehoods as true, and always preserve in our thoughts the discipline essential for the deduction of one truth from another.
–René Descartes, Le Discours de la méthode pt 2 (1637)(S.H. transl.)Report
I wonder if there’s not some sort of underlying difference of tastes with these things, because I know exactly what Descartes is talking about in terms of mathematics proceeding slowly and methodically through easily grasped proofs to more complex ones, but for me, that got to be sort of boring. I never had much trouble with it, but it didn’t really tie me in knots like philosophy does, and maybe that’s what I enjoy about philosophy. Even if Parmenides doesn’t quite work for me, I enjoy trying to think through what he must have been thinking to write this stuff down. With math, it’s much more straightforward: you learn the formulas and proofs and plug in the numbers. But sometimes I like things that are just totally bewildering.Report
Unfortunately for me the very language is bewildering. I think it’s a lack of ability with words, not necessarily the concepts. I think I understand what he’s trying to say, it’s just so dense for me.Report
Well, I’m sure it helps when you get someone better versed in philosophy to explain it. I’m really just starting with this stuff and part of the reason I’m reading the pro-Socratics is because, indeed,I’m often unsure just what Plato and the philosophers afterward are trying to say.Report
The main thing to think about when looking at the pre socratics is how much of their language is built out of poetry. Rarely are they using words exactly as they seem. When a presocratic says that the world is made of water he’s not saying that the wet stuff that we drink is all that the world is made of. Instead the idea of water is what the world is made of. So when Parmenides says that being is a sphere he is more saying that being is a unity in that a sphere has a ratio of surface to volume of 1 to 1. Also, non being is all around being equidistant to the center of being. Zeno’s paradox’s are in part an attempt to defend parmenides by showing that other views are nonsensical.Report
So when Parmenides says that being is a sphere he is more saying that being is a unity in that a sphere has a ratio of surface to volume of 1 to 1
A sphere has a ratio of surface to volume of r/3, no?Report
That is r/3 to 1.Report
And a circle r/2. In general, an n-dimensional sphere has ratio of volume to boundary of r/n. We can combine Parmenides with general relativity to conclude that the universe is a 4-dimensional sphere of radius 4.Report
Yeah, maybe my mistake here was forgetting to look at this as poetic language. With Heraclitus I looked at the “fire” as both poetic and literal at once and that helped quite a bit. As I was falling asleep last night, I tried to think of Parmenides in the same way- not that there’s nothing outside of Being, but that this is a bit how perception represents things. That actually helped quite a bit and I also started seeing how many people after Parmenides were addressing the same problems.Report
It’s pretty astounding to think of how influential Parmenides was. His argument against change and for capital-B being being was truly revolutionary, and it pretty much derailed natural philosophy as everybody set to work solving the metaphysical problems he raised (Plato’s theory of the forms was a direct attempt to reconcile the world we see every day with Parmenides’ notion of the eternal, unchanging whole).
The kicker, though, is that the whole problem of change arises because Parmenides has a fuzzy notion of the verb “to be,” sliding between existential and predicative usage (I think Charles Kahn is a good source on this, but it’s been a while). But since the presocratics had to invent philosophy with the language they already had, they didn’t really have a technical way of dealing with the root of the issue and sent philosophy on a 2000-year wild goose chase instead.Report
To Parmenides credit, though, he had a non-pernicious influence on the development of mathematics.
Serendipitously, most of the story is here: after scaring a few generations of mathematicians away from considering infinity, Zeno’s famous paradoxes eventually pushed Archimedes to develop a kind of proto-calculus. Not mentioned at the link, but notable here, is that Zeno developed his paradoxes to support Parmenides’ arguments against motion/change.Report
Actually, an even better example than Heidegger (who I’m still not convinced isn’t basically full of it) is Henri Bergson, who wrote a really influential book called Time and Free Will in the late 1800s. That book is, essentially, an attempt to answer Zeno’s paradox of Achilles and the Tortoise.Report
That’s an important point about Plato. Parmenides’ discussion of Being also reminded me of the “existentialist” discussions following Heidegger, who definitely gets tied up in knots about what “to be” means. I’d have to read Kuhn to know how one actually gets out of those knots, but my sense of it is that Parmenides doesn’t exactly give us answers, but he poses some very important and profound questions, which I think is what philosophy is for. And, honestly, I’m not sure how to answer them, even though “to be” is such a basic term.Report
“On the other hand, think of all the things we can’t talk about. I can’t even tell you a story about Rufus at age five falling down and needing stitches because “Rufus at age five” is a being that “does not exist”. If you cut out everything that “does not exist” we can talk about very little.”
Of course, if you free yourself from the idea that the meaning of a word is an object, these headaches go away.Report
That’s a great point and basically what I take away from Parmenides is just a reminder that, in very many conversations, we’re not discussing objects.Report
Yeah, and this would take us far afield, but I thought when I was reading the Parmenides that the second part of the dialogue was about predication.Report
It’s so fragmentary though. It’s possible that he’s doing what Plato often does- giving us the views of other people before Socrates finally destroys them. We might just be missing that final attack on predication that the first section seems, to me, to promise. Or I could just be reading too much into it.Report
Oh, and I’d have to disagree with this, somewhat:
“To Parmenides credit, though, he had a non-pernicious influence on the development of mathematics.”
It was the Greek’s aversion to nonbeing, to not be able to talk about “what is not there,” that prevented them from embracing the zero. It was left to the Indians, specificially Buddhists — see, sunyata — to make the concept of zero respectable.Report
It’s true that Parmenides contributed far more confusion than clarification (you can read an analytic sneer whenever I write “metaphysics”), but getting the ball rolling on infinite series is nothing to sneeze at.
And for the record, Hellenistic astronomers did have zero at their disposal and used it in a system supposedly developed by Hippasus (who was also notable for proving the irrationality of ?2, which got him thrown overboard at sea by the Pythagoreans). It’s my understanding that this was a few centuries before Indian mathematicians completely formalized their understanding of zero.
Interestingly, the Bhagavad Gita contains a line almost straight out of Parmenides (2.16: “That which really is cannot go out of existence, just as that which is non-existent cannont come into being”). But unlike the Greeks, the Indians didn’t tie themselves in knots trying to solve this problem.Report
(Question mark above was supposed to be a square-root sign.)Report
I have trouble with the question marks too (but not the Mysterions)- if WordPress didn’t insist on replacing symbols with them, there would be a lot more Greek in my posts.Report
It’s already Greek to me.Report
Hah!Report