Title
Author
Keywords
JOURNAL OF DIALECTICS OF NATURE
A Comprehensive, Academic Journal of the Philosophy, History, Sociology and Cultural Studies of Science and Technology
English
Chinese
Home
Browse
Published ahead of Print
Latest Issue
More Content
Purchase
Submit
Sign up/in
Author Guidelines
About Us
About the Journal
Editorial Board
Conference
Home
Browse
Published ahead of Print
Latest Issue
More Content
Purchase
Submit
Sign up/in
Author Guidelines
About Us
About the Journal
Editorial Board
Conference
Author Information
BAO Xiangfei
Information
Research Articles
The Influence of Kant’s View of Logic on Thinking About Mathematical Foundation
Abstract: From the perspective of intellectual history, logicism, formalism and intuitionism are intricately linked to Kant’s conception of mathematics. A fundamental aspect of Kant’s view of logic is the assertion that the applicability of logic is confined to possible experiences. The acceptance and subsequent critique of this view have catalyzed a significant inquiry into the foundations of mathematics. This paper investigated the impact of Kant’s view of logic on Hilbert’s theory of finite proofs, delineated the similarities and distinctions between Kant’s conception of mathematics and the formalist and platonist interpretations of mathematics, and elucidated that Kant’s logic provides the philosophical framework essential for comprehending Hilbert’s program. Furthermore, it also emphasized that a comprehensive understanding of Gödel’s incompleteness theorem necessitates an adequate grasp of Hilbert’s finite proofs theory. Ultimately, the author illustrated the enduring relevance of Kant’s view of logic in contemporary scientific inquiry, by exemplifing the double-slit experiment in quantum mechanics. Key Words: Kant; Logic; Formalism; Platonism; Double-Slit experiment
Author:
BAO Xiangfei
GUI Shujie
Issue:Volume 47, lssue 8, August 2025
Page: 28-36
JOURNAL OF DIALECTICS OF NATURE
About the Journal
Submit
Author Guidelines
Purchase Information
Help
Contact Us
Address: No.19A Yuquan Road, Beijing, 100049, China
Phone: +86-10-88256007
Email:
jdn@ucas.ac.cn
Follow Us
© 2014 Copyright of the University of Chinese Academy of Sciences
© 2014 Copyright of the University of Chinese Academy of Sciences