Small and Large Categories
A category C is called small if both ob(C) and hom(C) are actually sets and not proper classes, and large otherwise. A locally small category is a category such that for all objects a and b, the hom-class hom(a, b) is a set, called a homset. Many important categories in mathematics (such as the category of sets), although not small, are at least locally small.
Read more about this topic: Category (mathematics)
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“Child, the current of your breath is six days long.
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—Anne Sexton (1928–1974)
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—T.S. (Thomas Stearns)
“Sure He that made us with such large discourse,
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To fust in us unused.”
—William Shakespeare (1564–1616)
“all the categories which we employ to describe conscious mental acts, such as ideas, purposes, resolutions, and so on, can be applied to ... these latent states.”
—Sigmund Freud (1856–1939)