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Mathematics as a science, commenced when first someone, probably a Greek, proved propositions about "any" things or about "some" things, without specifications of definite particular things.
Alfred North Whitehead
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Interpretation

What this quote means

Mathematics began when it transitioned from specific instances to general propositions.

Alfred North Whitehead emphasizes the pivotal moment in the history of mathematics when thinkers started to formulate general rules and theories that applied to abstract entities rather than only specific, tangible examples. This shift allowed mathematics to develop as a rigorous science, abstracting concepts to understand broader truths about the universe.

Themes

MathematicsAbstractionSciencePropositionsGeneralization

In practice

Example use cases

This quote can be used in a lecture on the philosophy of mathematics to highlight its evolution.

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