Philosophical Logic: A Phenomenological Approach
暫譯: 哲學邏輯:現象學方法
Schumann Andrew
- 出版商: World Scientific Pub
- 出版日期: 2026-08-02
- 售價: $6,400
- 貴賓價: 9.5 折 $6,080
- 語言: 英文
- 頁數: 300
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 981981328X
- ISBN-13: 9789819813285
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相關分類:
Computer-Science
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商品描述
This book is an accessible introduction to philosophical logic's phenomenological approach, elucidating its principles and demonstrating its utility in uncovering the origins and development of logic. The analytical approach to philosophical logic which dominated early discourse posited that logic serves as a universal tool capable of articulating any consistent thought, representative of an era where formalism and rigor were prized as the ultimate pathways to clarity and precision. In recent times, however, the landscape of foundational mathematics has shifted with the emergence of univalent foundations. They, unlike symbolic logic and set theory, embrace the uncountable, infinite diversity of mathematical objects, something that was inconceivable within the confines of logical positivism.
The phenomenological approach dispenses with the need for comprehensive logical calculi, focusing instead on smaller, modular units of logic referred to as logemes. The implications of this approach extend beyond historical analysis, holding significant potential for applications in artificial intelligence, machine learning, and more. By offering an expansive arsenal of homotopic tools, the phenomenological approach equips researchers and practitioners with innovative techniques for tackling complex problems in all fields.
商品描述(中文翻譯)
這本書是對哲學邏輯現象學方法的易懂介紹,闡明其原則並展示其在揭示邏輯的起源和發展方面的實用性。早期的哲學邏輯討論中,主導的分析方法認為邏輯是一種普遍工具,能夠表達任何一致的思想,這代表了一個重視形式主義和嚴謹性的時代,這些被視為通往清晰和精確的終極途徑。然而,近年來,基礎數學的格局因單一基礎的出現而發生了變化。與符號邏輯和集合論不同,單一基礎擁抱了數學對象的不可數、無限多樣性,這在邏輯實證主義的範疇內是不可想像的。
現象學方法不再需要全面的邏輯計算,轉而專注於稱為邏輯單元(logemes)的較小模組化邏輯單位。這種方法的影響超越了歷史分析,對人工智慧、機器學習等領域的應用具有重要潛力。通過提供一系列廣泛的同倫工具,現象學方法為研究人員和實踐者提供了創新的技術,以應對各個領域中的複雜問題。