George Boole emerged from the British tradition of the “New Analytic”, known for the view that the laws of logic are laws of thought. Logicians in the New Analytic tradition were influenced by the work of Immanuel Kant, and by the German logicians Wilhelm Traugott Krug and Wilhelm Esser, among others. In his 1854 work An Investigation of the Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities, Boole argues that the laws of thought acquire normative force when constrained to mathematical reasoning. Boole’s motivation is, first, to address issues in the foundations of mathematics, including the relationship between arithmetic and algebra, and the study and application of differential equations (Durand-Richard, van Evra, Panteki). Second, Boole intended to derive the laws of logic from the laws of the operation of the human mind, and to show that these laws were valid of algebra and of logic both, when applied to a restricted domain. Boole’s thorough and flexible work in these areas influenced the development of model theory (see Hodges, forthcoming), and has much in common with contemporary inferentialist approaches to logic (found in, e.g., Peregrin and Resnik).
乔治·布尔(George Boole)来自英国的“新分析”传统，该传统以逻辑法则即思维法则的观点而闻名。新分析传统中的逻辑学家受到伊曼努尔·康德以及德国逻辑学家威廉·特劳戈特·克鲁格和威廉·埃塞尔等人的影响。在他1854年的著作《对逻辑与概率的数学理论赖以建立的思维规律的研究》中，布尔认为，思维规律在受到数学推理的约束时获得了规范性的力量。布尔的动机是，首先，解决数学基础问题，包括算术和代数之间的关系，以及微分方程的研究和应用(Durand-Richard, van Evra, Panteki)。其次，布尔打算从人类思维的运行规律中推导出逻辑定律，并证明这些定律在有限的领域内对代数和逻辑都是有效的。布尔在这些领域的彻底和灵活的工作影响了模型理论的发展(见霍奇斯，即将出版)，并与当代推理主义的逻辑方法(如Peregrin和Resnik)有很多共同之处。
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