Is there a philosophical reason to postulate the existence of entities without parts? It seems like everything in our experience is complex and has various pieces and parts or can be reduced to a more fundamental entity given scientific exploration; what reason is there for thinking that there is something that is non-reducible?
Here's an argument that the early modern philosophy Gottfried Wilhelm Leibniz gives for postulating the existence of an entity without parts, versions of which he gave from the 'middle' of his philosophical career--roughly, from about the time that he wrote the "Discourse on Metaphysics"--until the end, which, for present purposes, we can take to be the Monadology . Leibniz starts from the fact that material things can all be subdivided--he actually says that material things not only can be divided, but that they are actually infinitely divided. Since a material thing such as a table can be, as it were, decomposed into infinite material parts, Leibniz argues--in a line of reasoning that is especially emphasized in his correspondence with the philosopher Antoine Arnauld based on issues in the "Discourse on Metaphysics," but elsewhere in his writings as well--that a material thing like a table is no more metaphysically real than a heap of stones, a flock of sheep, or a rainbow: the basis for...
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