| Summary: | This essay is the first in a two-part series. This first installment invites readers to consider a few very basic questions: what does it mean to count words in a text? What happens to the text, and to our understanding of it, when we decompose it into a series of word counts? What relation exists between the textual domain and its numerical image? Or, to restate this question with a nod to literary critic stanley fish, "is there a text in my data?" following one document through a series of typical transformations -- first into a simple list of words and their frequencies, then to a vector of elements in a matrix, and from there through the processes of normalization, dimensionality reduction, and analysis -- this essay argues against the commonly held notion that counting words reduces complexity, suggesting instead that semantic models embed textual objects in highly complex structures that are extremely sensitive to historical context and subtle nuances in meaning. Word frequencies aren't static, given things that simply exist in a text. They're produced through the act of modeling, and the mathematical structures they imply dissolve both words and texts into elaborate systems of mutual interrelation.
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