All practical teachers know that education is a patient process of mastery of details, minute by minute, hour by hour, day by day.
Alfred North WhiteheadRead
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.
Interpretation
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.
In practice
This quote can be used in a lecture on the philosophy of mathematics to highlight its evolution.
All practical teachers know that education is a patient process of mastery of details, minute by minute, hour by hour, day by day.
The vitality of thought is in adventure. Idea's won't keep. Something must be done about them. When the idea is new, its custodians have fervour, live for it, and, if need be, die for it. Their inheritors receive the idea, perhaps now strong and successful, but without inheriting the fervour; so the idea settles down to a comfortable middle age, turns senile, and dies.
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Mitt Romney's energy policy is a relic of the 19th century. We need a 21st century plan. The fate of the planet is at stake.
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