论文标题
对话类型，论证方案和数学实践：道格拉斯·沃尔顿（Douglas Walton）和数学
Dialogue Types, Argumentation Schemes, and Mathematical Practice: Douglas Walton and Mathematics
论文作者
论文摘要
道格拉斯·沃尔顿（Douglas Walton）对论证研究的众多贡献，很少直接与数学论证有关。尽管如此，他与他最密切相关的几项创新有助于提高我们对数学论点的理解。我专注于这两项这样的创新：对话类型（第1节）和论证方案（§2）。我认为，这两种设备都比通常想象的更适用于数学推理。
Douglas Walton's multitudinous contributions to the study of argumentation seldom, if ever, directly engage with argumentation in mathematics. Nonetheless, several of the innovations with which he is most closely associated lend themselves to improving our understanding of mathematical arguments. I concentrate on two such innovations: dialogue types (§1) and argumentation schemes (§2). I argue that both devices are much more applicable to mathematical reasoning than may be commonly supposed.
