Many advocates of non‐classical logic for reasons external to mathematics claim that their proposed revisions are consistent with the use of classical logic within pure mathematics. Doubts are raised about such claims, concerning the applicability of pure mathematics to natural and social science.

中文翻译：

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替代逻辑和应用数学

许多非经典逻辑的提倡者出于数学之外的原因，声称他们提出的修订与纯数学中经典逻辑的使用是一致的。人们对这种说法提出了怀疑，涉及纯数学在自然科学和社会科学中的适用性。