For Palton the idea does nor depend on the mind to be. For him the Word idea is not equal to concept, there are different definitions. For Platon, ideas are in the intelligible world, but the concepts of things are found in the sensitive world. Why does he say that? In fact, the concept can change according to the person, so, if there are several concepts for a single object, this can not be part of an intelligible world, but the sensitive world (there everything changes constantly), on the other hand the idea is unique (it does not change) that is why it belongs to the intelligible world.
An example of a concept would be the table. We all understand what a table is, because all of us have the same idea, in contrast, when we talk about the concepts is different, I mean, my concept of table will be different from the concept "table" of another person. Maybe I can imagine a brown table, and another person imagine it green. For this reason, Platon says that there are several concepts for a single idea. The concepts are in the mind, but the idea is independent of the mind, the idea is beyond. The idea trascends the things, it is an objective reality (unique, it does not change), while the concept is subjective (varies according to the subjects).
There is an important name that you have to know, it is "Demiürg", this is a formator God that gives form to the idea, for example, to form a case what the "Demiürg" would do is to take the idea case, take a little mass and create the case, shape the case. So, the idea would be used as a mold.
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