论数学、物质与心灵
On Math, Matter and Mind
摘要:
我们在彭罗斯的数学-物质-心灵三角形的本体论语境中讨论实在的本质。这个三角形暗示了一种普遍观点的循环性,即数学起源于思维,思维起源于物质,物质可以用数学来解释。非物理学家应该警惕任何声称现代物理学引导我们对这种循环进行任何特定解决的说法,因为即使是撰写本文的三位理论物理学家也持有三种不同的观点。一些物理学家认为,当前的物理学已经找到了完整描述现实的基本框架,只需要填充细节。另一些人则怀疑,没有一个单一的框架,从物理学或其他来源,将永远捕捉现实。然而,其他人猜测,现实可能会被某种形式的未来物理学任意接近,但可能基于完全不同的框架。我们将指定这三种方法为原教旨主义,世俗和神秘主义的世界观,如实践物理学家所见。我们提出并对比了这些观点,它们可以形成广泛的类别,涵盖了大多数(如果不是所有)物理学的解释。我们认为,这种多样性的物理学界是更有用的本体论的单一文化,因为它激励物理学家解决各种各样的方法未解决的问题。
英文摘要:
We discuss the nature of reality in the ontological context of Penrose's math-matter-mind triangle. The triangle suggests the circularity of the widespread view that math arises from the mind, the mind arises out of matter, and that matter can be explained in terms of math. Non-physicists should be wary of any claim that modern physics leads us to any particular resolution of this circularity, since even the sample of three theoretical physicists writing this paper hold three divergent views. Some physicists believe that current physics has already found the basic framework for a complete description of reality, and only has to fill in the details. Others suspect that no single framework, from physics or other sources, will ever capture reality. Yet others guess that reality might be approached arbitrarily closely by some form of future physics, but probably based on completely different frameworks. We will designate these three approaches as the fundamentalist, secular and mystic views of the world, as seen by practicing physicists. We present and contrast each of these views, which arguably form broad categories capturing most if not all interpretations of physics. We argue that this diversity in the physics community is more useful than an ontological monoculture, since it motivates physicists to tackle unsolved problems with a wide variety of approaches.
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