图书
The Question of the Foundations of Logic proposes a comprehensive and systematic new basis for logic. As we all know, building a systematic philosophical basis for logic is an exceptionally difficult problem. This book argues that the key to solving this problem lies in methodology. It is generally accepted that the basis of logic must adopt the traditional foundational methodology, that is, foundationalism. However, this methodology cannot provide a basis for basic disciplines in principle. This leads the philosopher to abandon altogether the construction of a foundation for logic. However, foundationalism is not the only rational foundational methodology. This book presents basic holism as an alternative methodology. Fundamental holism combines strong foundational requirements with holistic tools to establish a viable, systematic foundation for logic. This book uses this new methodology to provide a practical basis for logic, starting from the role of logic in human knowledge, that is, to provide a universal and particularly powerful method of reasoning or consequentiation, especially that logical consequential must guarantee the transmission of the conclusion that is really mentioned earlier, and this guarantee must have a particularly strong modal force. In order to do so, logic must meet firm requirements for authenticity, and for this it must be based on the human mind and the world. But logic cannot be based on anything in the world, it must be based on the world strong enough to provide a basis for the requirements of logical succession. This book solves this problem by basing logic on a particularly strong law that governs the world—the law of form. Because of the characteristics of these laws, which are particularly strong degrees of invariance, formal laws have a strong modal force, and they have the required necessity and thus provide the basis for logical succession. This book provides a criterion for formality that makes logical constants the "engine" of logical truth and logical successors. It further explains how the new foundation guarantees inevitability, not only that, but also how it guarantees other typical features of logic: universality, thematic neutrality, strong normativity, and (quasi) innateness. Errors and corrections in logic are discussed, and criticisms of logical standards are also responded. The book concludes with an examination of the relationship between logic and mathematics, proposing a Frey-style logicism. Logicism bases mathematics on logic, but it cannot provide a basis for logic. By basing both mathematics and logic on form, this problem no longer arises in the foundation on which this book is built. Such a new foundation can explain the connection and difference between logic and mathematics, that is, the division of labor and cooperation between the two.
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