论文标题
物理学和直觉数学的不确定性
Indeterminism in Physics and Intuitionistic Mathematics
论文作者
论文摘要
大多数物理学理论都是确定性的，但显着的量子力学除外，但是，量子力学受到所谓的测量问题的困扰。这种情况很可能是由于标准数学无法“谈论”不确定性，它无法为我们展示一个世界观，随着时间的流逝，创建新信息。在这种情况下，科学的决定论仅由于永恒的数学语言科学家使用而成为一种幻想。为了调查这种可能性，有必要开发一种替代的数学语言，该语言既足够强大，以允许科学家计算预测并与不确定性和时间的流逝兼容。我们认为直觉数学提供了这样一种语言，我们用简单的术语进行了说明。
Most physics theories are deterministic, with the notable exception of quantum mechanics which, however, comes plagued by the so-called measurement problem. This state of affairs might well be due to the inability of standard mathematics to "speak" of indeterminism, its inability to present us a worldview in which new information is created as time passes. In such a case, scientific determinism would only be an illusion due to the timeless mathematical language scientists use. To investigate this possibility it is necessary to develop an alternative mathematical language that is both powerful enough to allow scientists to compute predictions and compatible with indeterminism and the passage of time. We argue that intuitionistic mathematics provides such a language and we illustrate it in simple terms.
