At the conclusion of Agathon's speech there is general applause, and everyone remarks on how eloquent and brilliant Agathon is. Socrates points out to Eryximachus that what he had said before (at 194a) has held true, that Agathon would speak admirably and that he would be lost for words. Eryximachus agrees that Agathon has spoken beautifully, but does not doubt that Socrates will find something to say.
Socrates expresses great admiration at the beauty and careful phrasing of Agathon's speech, noting a debt of influence to the great orator, Gorgias. Socrates confesses that he has realized that he has no business in trying to eulogize Love, since clearly he knows nothing at all about how to give a proper eulogy. He had thought that the best way to give a eulogy would be to tell the truth about the subject and to present one's subject in the best light the truth can shed. In fact, he says, it seems that the truth does not matter at all, and that one should simply ascribe all the finest possible qualities to one's subject whether or not what one says is true. All the speeches given so far have been beautifully expressed and have said all sorts of marvelous things about Love that might impress the ignorant, but none of them have approached the truth.
Socrates admits that he would be incapable of following up Agathon's speech with a similar eulogy, and if that is his task, he must bow out. However, he asks Phaedrus if he might be permitted to give a different kind of eulogy, one that speaks the truth and doesn't use fancy language, but uses only the words that come to him as he speaks. Phaedrus consents to this request, and consents also to Socrates' further request that he might ask Agathon some questions so as to make his speech on the basis of an agreement with the tragedian.
Socrates begins by asking Agathon whether or not Love is love of something or other, in the same way as a father is a father of a son or a daughter or the way a brother is the brother of a sister or a brother. Agathon agrees that Love is certainly love of something, which prompts Socrates to secure Agathon's further agreement that Love desires what it is love of. If Love desires what he loves, that would suggest that, necessarily, he does not have the object of his desire in his possession. When we desire something we have--for instance, a healthy person who wants to be healthy--what we desire is to continue to have that thing in the future, not in the present.
Socrates then recalls what Agathon said that Love is of: for one thing, Agathon suggested that the gods are organized through a love of beautiful things. From this, Socrates has Agathon agree that Love must be love of beauty, which in turn implies that Love itself must be wholly without beauty. Agathon admits that Socrates is right and that he was wrong. Socrates goes on to point out that if good things are beautiful, then Love must also be lacking in good things, and cannot himself be good. Agathon surrenders, saying that he cannot argue against Socrates. Socrates replies that it is easy to argue against Socrates, but that Agathon cannot argue with the truth.
This passage is the only example we find in The Symposium of the method of elenchus, or cross-examination, that defines Plato's and Socrates' dialectic method. In a typical dialogue, Socrates will question someone who claims expert knowledge on a particular subject. Supposedly without interjecting any knowledge or thoughts of his own, Socrates leads his interlocutor into a contradiction, showing him that his supposed knowledge is unfounded. Here Socrates takes Agathon's claims to know the nature and importance of Love, and leads Agathon, through questioning, to admit that he does not know the subject well at all.
The dialectic method encourages us to question our claims and the ground on which we make our claims. Socrates' cross-examination digs up the assumptions and the reasoning that underlie certain claims and exposes them to scrutiny. It emphasizes careful reasoning, logical thinking, and the necessity of reaching agreement at each stage of the dialectic. It is no wonder, then, that Socrates is mistrustful of the carefully crafted rhetoric that he has seen already. Poetic turns of phrase and the like are, to him, simply means of covering up shoddy reasoning and unwarranted assumptions. This sentiment is strongly justified in Agathon's speech, whose rhetorical flourishes do their best to protect what are very clearly some unsupported and grandiose claims.
Socrates opens with the remark that he cannot speak well if speaking well means forming well-crafted sentences, but that he can speak the plain truth. This remark echoes the opening of The Apology, where Socrates similarly mocks his opponents' careful rhetoric and prepares the audience for his simple speech. In both cases, we might ask to what extent Socrates is feigning naivete. Plato is a formidable writer, and the style of Socrates' speech, while not marked by the techniques of the orators (though it is occasionally in The Apology), certainly betrays a high level of careful crafting.
The philosophical move made in this passage is to suggest that Love is primarily a relational property that holds between things. That is, Love is not itself beautiful or good or anything else so much as it is a relation that holds between the beautiful, the good, and those who love. This claim will be brought out more explicitly in later passages, but we should give it some examination now. In particular, Socrates/Plato may be right in identifying Love as a relation, but there is no support given for defining it as the particular type of relation Socrates/Plato describe; that is, Socrates statement that Love is love of something, a relation between lover and object of desire. Love could equally well be a relation that exists between two people or between two kinds of behavior or all sorts of other things. There is only superficial justification for the particular choice of relation.
Further, the reasoning near the end, where Socrates claims to show that Love wholly lacks beauty, is questionable on two counts. First, one can desire beauty without oneself being ugly. Socrates here seems to be fudging the distinction between love or desire for concrete objects and love or desire of abstract ideas, like beauty. I can't want to have a car if I already have a car, but I can want to have beautiful things and still be beautiful myself. Second, Socrates leaps from the claim that Love's desire for beauty suggests that it lacks beauty to the claim that Love is wholly without beauty. Couldn't Love be somewhat beautiful and desire to be even more beautiful? There is also an ambiguity in the language of this passage, where it is unclear whether Socrates is speaking of Love itself or of a person who loves.