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当代数学哲学的革命——“数学‘时间—空间’缺失”、数学知识的科学性盲区、数学上空的“一片巨大乌云”(英文) 被引量:9
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作者 欧阳耿 《喀什师范学院学报》 2015年第6期11-19,共9页
总结作者40多年来针对新发现的古代芝诺悖论家族成员(调和级数悖论)所揭示的存在于与"无穷"相关的现有经典科学体系中的5种典型缺陷所做的研究工作,即数学哲学中的"数学‘时间—空间’缺失"缺陷、"无穷"... 总结作者40多年来针对新发现的古代芝诺悖论家族成员(调和级数悖论)所揭示的存在于与"无穷"相关的现有经典科学体系中的5种典型缺陷所做的研究工作,即数学哲学中的"数学‘时间—空间’缺失"缺陷、"无穷"概念的认知缺陷、"无穷性质载体理论缺失"缺陷、极限论的缺陷、"数学知识的科学性"认知盲区.得到"解决这些缺陷所取得的研究成果,特别是与应用哲学相关的新"数学‘时—空’"理论以及知识的科学性谱系K_1-K_2-K_3-K_4的引入、研究与发展必将引发数学哲学、科学哲学的一场革命"明确的结论. 展开更多
关键词 理论哲学-应用哲学 数学哲学 数学“时间-空间” 数学基础 芝诺悖论-调和级数悖论 无穷 载体-数谱-集合谱 数学知识的科学性
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Revisiting Quantum Mechanical Weirdness From a Bio-psychological Perspective
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作者 Franz Klaus Jansen 《Journal of Philosophy Study》 2018年第8期343-354,共12页
Quantum mechanics has some weird aspects, which we simply have to accept, according to Tegmark. However, approaching this issue from a bio-psychological perspective allows for an alternative interpretation that avoids... Quantum mechanics has some weird aspects, which we simply have to accept, according to Tegmark. However, approaching this issue from a bio-psychological perspective allows for an alternative interpretation that avoids this supposedly inherent weirdness. Physical laws are established based on repeated observations or measurements, which involve sense organs. Our capacity for memorization and abstract reflection allows us to draw conclusions on physical reality, which can thus be represented with mathematical formalism. Therefore, physical laws are dependent on pure bio-psychological functions. If quantum mechanics is seen in the bio-psychological context, normal mental functions might explain phenomena such as the collapse of the wave function. If events of interest occurred regularly, similar to classical physics, the same pattern of regular events would be anticipated in the future. Conversely, if events that occurred in the past were irregular, like in quantum mechanics, they would also evolve in an irregular manner in the future. Prediction of irregular behavior requires the ability to imagine multiple possibilities in a kind of mental superposition. Only when one of the imagined possibilities is realized, the mental superposition of the future will collapse to one observable behavior occurring in the present. However, in mental representation, similar to classical physical formalism, some aspects of reality can be lost. When time and space coordinates are replaced by calculated time intervals and spatial distances, time periods and spatial lengths become independent of their initial reference frames. Consequently, the concepts of past, present, and future become irrelevant for time intervals. In quantum mechanics, as well as in mental imagination of potentiality, the notions of the unity of one space for one time and the time arrow are also eliminated. This analogy suggests that physical formalism does not correspond to independent physical reality, but rather to mental functions, which allow establishing a mathematical model of extra-mental reality. If quantum mechanics is conceived as mental potentiality for modeling physical reality, the weird aspect of the collapse of superposition disappears and becomes a simple transition from imagined potentiality in mental representation to observed reality, which could explain the measurement problem. 展开更多
关键词 quantum mechanics wave function SUPERPOSITION measurement problem weirdness OBSERVATION REALITY POTENTIALITY
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