Why Countable Additivity

Why Countable Additivity
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为什么可数可加性

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发表时间:
2013
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通讯作者:
K. Easwaran
K. Easwaran
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作者:
K. Easwaran

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有时有人声称,认为概率函数应该是可数可加的论点表现得太多了,而且它们还激发了不可数的可加性。我通过给出两个自然动机的论点来证明这是错误的,这两个论点是关于可数可加性的,它们不会激励不可数可加性。
It is sometimes alleged that arguments that probability functions should be countably additive show too much, and that they motivate uncountable additivity as well. I show this is false by giving two naturally motivated arguments for countable additivity that do not motivate uncountable additivity.