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首页> 外文期刊>Journal of applied measurement >Reducible Or Irreducible? Mathematical Reasoning and the Ontological Method
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Reducible Or Irreducible? Mathematical Reasoning and the Ontological Method

机译：可还原还是不可还原？数学推理与本体论方法

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摘要

Science is often described as nothing but the practice of measurement. This perspective follows from longstanding respect for the roles mathematics and quantification have played as media through which alternative hypotheses are evaluated and experience becomes better managed. Many figures in the history of science and psychology have contributed to what has been called the "quantitative imperative," the demand that fields of study employ number and mathematics even when they do not constitute the language in which investigators think together. But what makes an area of study scientific is, of course, not the mere use of number, but communities of investigators who share common mathematical languages for exchanging quantitative and quantitative value. Such languages require rigorous theoretical underpinning, a basis in data sufficient to the task, and instruments traceable to reference standard quantitative metrics. The values shared and exchanged by such communities typically involve the application of mathematical models that specify the sufficient and invariant relationships necessary for rigorous theorizing and instrument equating. The mathematical metaphysics of science are explored with the aim of connecting principles of quantitative measurement with the structures of sufficient reason.
机译：人们通常将科学描述为测量实践。这种观点源于长期以来对数学和量化作为介质的作用的尊重，通过这些介质可以评估替代假设并更好地管理经验。科学和心理学史上的许多人物促成了所谓的“定量命令”，即要求研究领域采用数字和数学，即使它们并不构成研究者共同思考的语言。但是，使研究领域变得科学的原因当然不仅仅是数字的使用，而是共享共同的数学语言交换定量和定量价值的研究者社区。此类语言需要严格的理论基础，足以完成任务的数据基础以及可追溯到参考标准量化指标的工具。此类社区共享和交换的价值通常涉及数学模型的应用，这些数学模型指定了严格的理论化和仪器等价所需的充分且不变的关系。探索科学的数学形而上学的目的是将定量测量原理与充分理由的结构联系起来。

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