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The function of a mathematician is to do something, to prove new theorems, to add to mathematics, and not to talk about what he or other mathematicians have done.

Exposition, criticism, appreciation, is work for second-rate minds.

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If then I find myself writing, not mathematics, but ‘about’ mathematics, it is a confession of weakness, for which I may rightly be scorned or pitied by younger and more vigorous mathematicians.

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— A Mathematician’s Apology (1940), by G. H. Hardy

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2009.01.28 Wednesday ACHK

國家

Nation, Country, and State

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In casual usage, the terms “country,” “nation,” and “state” are often used as if they were synonymous; but in a more strict usage they can be distinguished:

* Country denotes a geographical area.

* Nation denotes a people who are believed to or deemed to share common customs, origins, and history.

However, the adjectives national and international also refer to matters pertaining to what are strictly states, as in national capital, international law.

* State refers to the set of governing and supportive institutions that have sovereignty over a definite territory and population.

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— Wikipedia

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Country 地理國家

Nation 民族國家

State 政權國家

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— Me, Translated

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2009.01.27 Tuesday ACHK

Fear | Hope

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Fear cannot be without hope nor hope without fear.

— Spinoza

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Do what you fear is an effective way to get what you want.

— Me

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Do what you fear is a way to upgrade yourself in a short time.

Do what you fear is a way to update yourself in a short time.

— Me

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2009.01.26 Monday copyright ACHK