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It seems to me, that the only Objects of the abstract Sciences or of Demonstration is Quantity and Number, and that all Attempts to extend this more perfect Species of Knowledge beyond these Bounds are mere Sophistry and Illusion.
David Hume
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Interpretation

What this quote means

David Hume suggests that true knowledge is limited to quantity and number, and anything beyond that is deceptive.

In this quote, David Hume asserts that the realm of knowledge derived from abstract sciences is confined to quantifiable elements, specifically quantity and number. He argues that any attempts to apply this kind of rigorous scientific understanding to more complex or abstract ideas leads to misconceptions and false reasoning, which he terms as 'sophistry and illusion'. Hume's statement emphasizes a philosophical skepticism about the limits of human understanding and the nature of reality beyond empirical measurement.

Themes

KnowledgeQuantityNumberSophistryIllusionPhilosophy

In practice

Example use cases

In a lecture on the limits of scientific knowledge, one might reference Hume's quote to illustrate the boundaries of empirical inquiry.

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