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Literary notes about divisible (AI summary)

The term “divisible” has been used in literature with a wide range of nuances, from literal descriptions of natural entities to abstract philosophical and mathematical concepts. In natural history and anatomy, it connotes a physical partitioning—as seen in botanical descriptions where plant parts are "divisible in 2 leaves" [1] or the pistil is "generally divisible into the ovary or germen, the style and the stigma" [2]. Philosophers and scientists, however, have extended its use to articulate more conceptual separations. David Hume, for example, discusses how extended entities are "divisible, if not in reality, at least in the imagination" [3] and reflects on the complexities of dividing objects of sensation and understanding [4]. In the realm of mathematics, "divisible" straightforwardly addresses the idea of one number being exactly partitioned by another ([5], [6], [7]). Furthermore, literary authors like James Joyce use the term metaphorically to describe the multifaceted nature of human identity and experience [8]. Thus, whether describing natural forms, abstract ideas, or numerical properties, the word “divisible” serves as a bridge linking the tangible with the conceptual ([1], [3], [8], [5], [6], [4], [2]).
  1. Stigma thick, oblong, divisible in 2 leaves.
    — from The Medicinal Plants of the Philippines by T. H. Pardo de Tavera
  2. The pistil is generally divisible into the ovary or germen, the style and the stigma.
    — from The Origin of Species by Means of Natural Selection by Charles Darwin
  3. Whatever is extended consists of parts; and whatever consists of parts is divisible, if not in reality, at least in the imagination.
    — from A Treatise of Human Nature by David Hume
  4. On which account existent things are divisible into objects of sensation and objects of understanding.
    — from The Lives and Opinions of Eminent Philosophers by Diogenes Laertius
  5. 38 If a is a root of an algebraic equation, the first member is divisible by x - a .
    — from The Declaration of Independence of the United States of America by Thomas Jefferson
  6. Every number will necessarily be divisible by its difference from 210.
    — from Amusements in Mathematics by Henry Ernest Dudeney
  7. Can you also find the smallest possible number produced in the same way that is divisible by 11?
    — from Amusements in Mathematics by Henry Ernest Dudeney
  8. You apprehend it as complex, multiple, divisible, separable, made up of its parts, the result of its parts and their sum, harmonious.
    — from A Portrait of the Artist as a Young Man by James Joyce

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