以下为句子列表：
英文: In the past, concepts and logical reasoning and argumentation were taken to be the hope for interdisciplinary research.
中文: 过去将学科跨界域的希望寄托于概念与邏辑推理和論证。
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英文: Inquiry into the nature of things based on logical reasoning rather than empirical methods.
中文: 自然科学基于逻辑推理而不是凭经验得来的方法来探究事物的本质
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英文: Most of us, most of the time, come to our beliefs for a variety of reasons having little to do with empirical evidence and logical reasoning.
中文: 通常，多数人的信念来自于各种与经验证据和逻辑推理无关的理由。
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英文: The substance of rationalism is that the conclusion of ought-to-be-sois made by logical reasoning.
中文: 理性主义的实质是通过合逻辑的推理推演出“应当如此”的结论。
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英文: This paper intends to explain the essence of beauty with G?del Theorem, prove the changeability of beauty with logical reasoning and thus confirm the openness of beauty essence and the rationality of aesthetics.
中文: 摘要用哥德尔定理解读美本质，以逻辑推理方式，论证了没有千古不变的美本身，确证了美本质的开放性及美学的合法性。
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