Open AccessHow We Understand Hilbert’s Thought of Infinity
Author(s) -
Zhang Hong,
Zhou Qiang
Publication year - 2021
Publication title -
journal of research in philosophy and history
Language(s) - English
Resource type - Journals
eISSN - 2576-2451
pISSN - 2576-2435
DOI - 10.22158/jrph.v4n3p17
Subject(s) - infinity , contradiction , dialectic , intuition , hegelianism , mathematics , pure mathematics , epistemology , philosophy , mathematical analysis
We know that Hilbert’s thought of infinity has profoundly influenced and changed the mathematical development of the 20th century, and yet there is inherent contradiction in his thought of infinity itself, building his understanding of infinity on Kant’s intuition and the principle of finalism. This paper analyzes his thought of infinity based on Hegel’s view of dialectical infinity, and points out the incompleteness of his understanding of infinity.