Showing posts with label Platonic Forms. Show all posts
Showing posts with label Platonic Forms. Show all posts

Wednesday, May 29, 2013

The History of Western Philosophy in Meme Format



Socrates, Rene Descartes, Baruch Spinoza,
Georg Wilhelm Friedrich Hegel,
Karl Marx, Ayn Rand, Max Stirner, Jacques Derrida, Socrates



"For what reason then do the realists show themselves so unfriendly toward philosophy? Because they misunderstand their own calling and with all their might want to remain restricted instead of becoming unrestricted! Why do they hate abstractions? Because they themselves are abstract since they abstract from the perfection of themselves, from the elevation of redeeming truth!" - Max Stirner



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Sunday, October 24, 2010

The Platonic Forms


 
Plato (ca. 427 - 347 BC)

In the Parmenides, Plato, represented by Socrates, thinks that objects can be at once both one and many. He thinks this because an object can be shown to partake of oneness when it is shown to be a single entity out of multiple separate entities, and an object can be shown to partake of multitude when it is shown to be comprised of several parts. Socrates tells Zeno that he would be amazed if someone were to distinguish opposite forms (i.e., oneness and multitude) as separate things, and then show that in themselves the forms can mix together and separate.

Parmenides gets Socrates to agree that things partake of forms by being likened to them, and that things cannot be dissimilar to things they are like. This poses a problem because it means that if something were shown to be both one and many, then it has oneness and multitude, so it is similar to both oneness and to multitude, so the thing and its two forms are all similar, so the thing is both forms themselves, so both forms are the same.

Plato thinks (and has Socrates and Parmenides agree) that someone who won’t allow that there are forms will “destroy the power of discourse” because “he won’t have a direction for his thought, since he doesn’t allow that for each thing there is a character that is always the same”. Parmenides argues that there are difficulties and objections involved in trying to make sense of the forms, so people argue that the forms “do not exist, and that, even if they do, they must by strict necessity be unknowable to human nature”.

Parmenides thinks that a form is separate from itself if everything that partakes of a form partakes of it as a whole because the form is separate from the things that partake of it.

This is not a good argument against the forms because Parmenides is thinking of a form as if it were an object of finite size instead of as a property. He seems to think that when several things share the same property, they can somehow use it up and take it away from itself. This is why using the phrase “to get a share of” instead of “to partake of” can be misleading, because “to get a share of” gives the impression that when a thing gets a share of a form, part of the form is lost to the thing, causing the parts of the form to separate.

Parmenides is right to say that Socrates’ example of the day is like his own example of the sail because they both cover many parts at once and part of each covers different places and different things. Those things exist during the day and under the sail, all at once, without the day or the sail having to be divided so that the things can fall under them.

In the dialogue, Parmenides presents the argument that objects partaking of a form have sameness, which makes the observer conclude that the form is one thing. When the observer thinks of the form and the things that partake of the form, the mind’s eye views them all as sharing a form that is different from the first form. Objects partaking of the form largeness and largeness itself partake of a form labeled the “third large.” Each time one thinks of what is common to a form and things that partake of it, a separate, different form is conceived of in the mind. The “fourth large” would be partaken of by the “third large,” largeness itself, and large things, and so on.

Parmenides says, “There is for each thing some being, itself by itself… to begin with” and “the forms are what they are of themselves and in relation to themselves”, which is to say that forms do not originate in the things that partake of the forms. This could provide an escape from the “third large” argument, but another problem is encountered when Parmenides says this argument means we cannot possess the forms themselves, so we cannot possess knowledge itself, but if anything partakes of knowledge itself, it is a god that does so. This is a problem because it contradicts Parmenides’ and Socrates’ earlier agreement that “the forms are what they are of themselves and in relation to themselves”.

Considering the forms thoughts would not help escape the argument. Socrates says, “[E]ach of the forms is a thought of the many… and properly occurs only in minds”. Socrates thinks that the mind recognizes a form when it observes many things partaking of it, and that to partake of a form is to be likened to it. Parmenides says that if Socrates is correct and a thing and a form resemble each other, and if “that which is like… partake[s] of the same one thing as what is like it”, “and if like things are like by partaking of something”, then that something is the form itself. Parmenides ends this argument by concluding that the thing and the form cannot be alike, otherwise “a fresh form will never cease emerging”, so this argument fails to refute the “third large” argument.

I believe that Platonic forms can be salvaged. Considering the forms thoughts comes close to refuting the “third large” argument, but a different approach must be taken. I think it is true that “each of the forms is a thought of the many… and properly occurs only in minds”, but I disagree that to partake of a form is to be likened to it. I think things are what they are in and of themselves, but I think forms are dependent on the things that partake of them.

Each form is a positive or negative value of a dimension, and thus each form has an opposite. For example, large and small are positive and negative values of size, and beauty and ugliness are positive and negative values of aesthetics. Thus, when a thing partakes of a form, it does not get a share of one form or the other; rather, a thing’s size or beauty is relative. It depends on what other thing – something bigger, smaller, more beautiful, or more ugly – it is being compared to.

This conflicts with superexemplification because it rejects the proposal that a form is the thought of a perfect example, which is to say, using my examples, that there is something of ultimate size or beauty, of which everything else large or small or beautiful or ugly is a thought.

If we imagine something with a size, and that size were greater than the size of the smallest conceivable thing and smaller than the size of the largest conceivable thing, this would present no problem because everything besides those two things fits that description. But this is distinct from claiming that the universe is largeness itself, or a subatomic particle is smallness itself. Size is relative. It is possible to conceive of something larger than the universe, and it is possible to conceive of something smaller than a subatomic particle. Every description we can attach to something only exists relative to its opposite.


Originally Written in October or November 2007 as a college essay



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Aristotle’s Criticisms of Plato’s Form of the Good


Greek philosophers Plato (ca. 427 - 347 BC) and Aristotle (384 B.C.E. - 322 B.C.E.)


The categories are Aristotle’s attempt to place the senses of being into ten classifications. They are substance, quantity, quality, relation, place, time, position, state, action, and affection.

Aristotle argues against the Platonists’ view that there is such a thing as the “form of the good.” Aristotle believes that good is not a single, common universal because what it is to be good is particular to the essence of the individual; that is, what makes something good varies depending on what the thing is.

Aristotle defines what goodness is with respect to each category of being. For example, he says the good place is the right situation, the good relative is the useful, and the good time is the opportune moment. He says that if good were a common and single universal, it would be spoken of in only one of the categories and not in them all.

To describe two different individuals as “good” is to assign them a homonymous quality. They are both called “good,” but what it is to be good is different for the two individuals. For example, what it is to be a good master is different from what it is to be a good slave because different properties define each individual and different properties define what makes each individual good. Were a slave to try to be a good slave by partaking in that which makes his master a good master, he would either cease to be good, cease to be a slave, or both.

Aristotle says that “good” is the same as “good itself” because they both have the same account of “good” in the same way that “the human being itself” and “human being” have the same account of “human being”. To argue this is to disagree with the Platonic idea that “good” and “human being” are individuals that partake of the forms “good itself” and “the human being itself.” To add the word “itself” to an idea is to suggest that the idea is a form that is dependent upon the things that partake of it.

Aristotle also says, “good itself will be no more of a good by being eternal; for a white thing is no whiter if it lasts a long time than if it lasts a day”. Aristotle means that just because some individual may have a quality that is thought of as a perfection, it does not mean that that individual is any more perfect with respect to what makes that individual what it is. In other words, if an individual (“f”) has a perfection (“p”), its “f-ness” is not affected.

Next, for the Platonist who would respond to his criticisms by distinguishing goods which are good in their own right from goods which are merely useful, Aristotle poses a dilemma. He asks, “is nothing except the Form good in its own right, so that the Form will be futile?” He then says that if practical wisdom, pleasures, and honors are goods in their own right, and if there is a Form of good, then the same account of good turns up in all of them. He says those three things have different and dissimilar accounts, so “the good is not something common corresponding to a single Form”.

When Aristotle says that good “is not like homonyms resulting from chance,” he means that it is not due to chance that one definition of “good” shares something with another. “Good” has many meanings depending on the nature of the individual to which it is applied. This is why the idea “good” can be represented in a single word; for each individual, there exists a property or a set of properties required for the individual to be called “good.”

Aristotle also asks whether good is spoken of by analogy. This may be so, as when two individuals each have the set of properties that respectively make them good, the goodness of one individual is analogous to the goodness of the other with respect to what the individuals are and what makes them good, even though the properties that make them good may be in completely different categories.

Aristotle says that in trying to determine whether there is a Form of the Good, we are looking for “the sort of good which a human being can possess or achieve in action.” He says, “If there is some one good predicated in common, or some separable good, itself in its own right,” that is not the sort of good that we can possess or achieve. He disagrees with the proposition that if we have a view to the Form of the Good “as a sort of pattern, we shall also know better about the goods that are goods for us, and if we know about them, we shall hit on them.”

Aristotle says it is useless for a craftsman to know good itself because the craftsman has nothing to gain by knowing it. What makes a doctor or a weaver or a carpenter useful is his understanding of the work he practices; not simply knowing good itself and thus being able to partake of it.

It may not be the case that the “possess and achieve in action” argument is an argument against Plato at all. What is probable is that it was not intended as an argument, but rather as a rationalization. In this section of the text, Aristotle is not using his statement about the uselessness of understanding the Form of the Good to mankind to argue against its existence, but  rationalizing the difficulty of determining, once and for all, the answer to the question of whether there exists a Form of the Good.

Aristotle’s weakest argument against Plato is the argument that “good itself will be no more of a good by being eternal, for a white thing is no whiter if it lasts a long time than if it lasts a day”. Aristotle is trying to say that if an individual “f” has a perfection “p”, the “f-ness” possessed by “f” is no greater. This statement seems true, as it does not contradict Aristotle’s assertion that for an individual to have a superfluous characteristic in a state of perfection does not make that individual any more “good.” However, the first statement makes it necessary to ask, What does Aristotle think is the property that allows for goodness itself to be good?

Aristotle’s strongest argument against Plato is the argument that good is spoken of as an analogy. If two individuals are described as good, a Platonist would take that to mean that both individuals partake of the same thing, goodness. Aristotle, on the other hand, understands that the individuals are good with respect to what it is for each individual to be good. He rejects the idea that their goodness is the same, but he also rejects the idea that they are both called good for no reason whatsoever. Instead, he sees goodness as something abstract and difficult to define, proposing that the goodness possessed by the individuals are analogous with respect to what makes the individuals what they are. This argument is fair to Plato in that it seems to reconcile that notion with Plato’s position that the Form of the Good exists as something that encompasses all different types of good.



Originally written in November or December 2007 as a college essay






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