Sentence examples similar to pie models from inspiring English sources

Suppose, first, that partaking conforms to the Whole Pie Model.

Having assimilated Socrates' day analogy to the Piece-of-Pie Model, Parmenides turns to a criticism of this second version of the Pie Model.

Paradigmatism is incompatible both with the proposal that forms are thoughts and with the Pie Model conception of partaking.

What Parmenides goes on to argue is that the theory of forms is internally inconsistent on either version of the Pie Model.

So if forms are thoughts, then according to the Pie Model everything is composed of thoughts, and hence all things think.

According to the Pie Model, participants literally get a share of the forms of which they partake, in a way analogous to the way in which those who partake of a pie literally get a share of the pie.

The Pie Model comes in two versions: according to the Whole Pie Model, for X to partake of Y is for X to get the whole of Y as its share of Y (i.e., for the whole of Y to be in X); according to the Piece-of-Pie Model, for X to partake of Y is for X to get a (proper) part of Y as its share of Y (i.e., for a (proper) part of Y to be in X).

Assuming that thoughts do not have parts, the only way for an object to partake of a thought in accordance with the Pie Model is for the object to get the thought as a whole.

As if this weren't bad enough, Parmenides goes on to derive a further absurdity from the result of combining the proposal that forms are thoughts with the Pie Model conception of partaking.

According to the first "Pie Model" account, for X to partake of Y is for the whole or a part of Y to be in X (as a part of X).

The upshot of the Whole-Part Dilemma is that absurdity or inconsistency follows from the theory of forms on either of the two possible versions of the Pie Model conception of partaking.