Many beautiful things and beauty itself

Book V of the Republic distinguishes delight in attractive sounds, colours and works from grasping beauty itself. Encountering many beautiful objects does not by itself establish the distinction between instances and their common object.

Socrates uses this distinction in examining knowledge and opinion. Particular things can appear beautiful and not beautiful under different relations, whereas beauty itself is introduced as a different object of understanding. The proposal is not simply to choose one exceptionally attractive specimen.

References: [1]

What participation must explain

In the Parmenides, a young Socrates distinguishes Forms from things participating in them. Parmenides asks whether each participant receives the whole Form or a part. The first option raises questions about one whole in separate places; the second appears to divide the Form.

Socrates compares participation to one day present in many places, and Parmenides counters with a sail spread over several people. Their exchanges show that naming participation does not yet explain how the proposed relationship works.

References: [2]

A shared property and further regress

Parmenides also considers greatness together with the great things it explains, asking whether their common character requires another greatness. Repeating the same explanatory step threatens a regress instead of securing the intended unity.

This challenge occurs inside a Platonic dialogue and makes the scope and relations of Forms matters for argument. It warrants neither treating every dialogue as one unchanging formula nor declaring every argument about Forms abandoned on the basis of these objections alone.

References: [2]