"This cell belongs to a brain,and this is my brain, the brain of the person that is writing, and this cell, and the atom in it, has to make me write, in an enormous and tiny game that nobody has yet described." (Primo Levi, The periodic table) The last chapter of the book from were the quote is from, is fully developed around the concept of how such a small thing as an atom of carbon can actually represent an active part of the author's writing.
Throughout history, many philosophers have grappled with the idea of how to understand the relationship between the whole and its parts. There are different philosophical perspectives on this issue, and some have argued that the whole is simply the sum of its parts, while others have suggested that the whole has emergent properties that cannot be reduced to its parts.
The specific study that has been done about this topic has been named mereology (from Greek μέρος 'part' (root: μερε-, mere-, 'part') and the suffix -logy, 'study, discussion, science'). It consists of the analysis of the concept that concerns parts and the wholes they form. Whereas set theory is founded on the membership relation between a set and its elements, mereology emphasizes the meronomic relation between entities, which—from a set-theoretic perspective—is closer to the concept of inclusion between sets.
Informal part-whole reasoning was consciously invoked in metaphysics and ontology from Plato (in particular, in the second half of the Parmenides) and more or less unwittingly in 19th-century mathematics until the triumph of set theory around 1910. Metaphysical ideas of this era that discuss the concepts of parts and wholes include divine simplicity and the classical conception of beauty.
One of the earliest philosophers to discuss the relationship between the whole and its parts was Aristotle, who believed that the whole was more than just the sum of its components. He argued that the parts of a thing can only be understood in relation to the whole, and that the whole has properties that are not present in any of its individual parts. For example, he believed that the human soul was not just the sum of its individual parts, but that it was actually an emergent property that arises from the interaction of those parts.
However, in the 18th and 19th centuries, philosophers such as Immanuel Kant and G.W.F. Hegel challenged the mechanistic view of the world and argued that the whole was more than just the sum of its parts. They suggested that the whole had emergent properties that could not be reduced to its individual parts, and that understanding the whole required a different kind of knowledge than understanding the parts.
KANT
HEGEL
PLATO
PARMENIDE