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在宇宙学中统一的概率
1Centre for Logic and Philosophy of Science, Institute of Philosophy, KU Leuven, Belgium.
Studies in history and philosophy of science
|September 10, 2023
概括
宇宙学的测量问题使得口袋宇宙的概率赋值变得复杂. 这项研究通过检查无限空间的均概率来澄清障碍,为宇宙学理论提出了多种一致的数学方法.
科学领域:
- 宇宙学的宇宙学是什么?
- 可能性理论概率理论.
- 通货膨胀理论是指通货膨胀的理论.
背景情况:
- 在无限支上的统一概率在当代宇宙学中提出了挑战.
- 宇宙学的测量问题使通胀理论中的口袋宇宙的概率测量任务复杂化.
研究的目的:
- 将概率哲学家介绍给最近的宇宙学讨论.
- 让宇宙学家熟悉基础的概率论工作.
- 澄清解决宇宙学测量问题的障碍的起源.
主要方法:
- 在无限样本空间上从均概率中产生的悖论的分析.
- 评论像科尔莫戈罗夫,德菲内蒂和杰恩斯这样的概率论者的基础工作.
- 检查概率悖论背后的假设.
主要成果:
- 识别了标准概率理论中涉及无限样本空间的悖论.
- 突出了这些悖论与宇宙学测量问题之间的联系.
- 表示存在多个一致的方法来处理无限空间上的均概率.
结论:
- 宇宙测量问题与概率论的基本问题有关.
- 对宇宙学的数学方法的多元主义方法可以促进进步.
- 进一步的工作可以建立在基础概率理论上,以解决宇宙学测量挑战.
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