How We Understand Hilbert’s Thought of Infinity | Zendy

Hong Zhang | Zendy; Zhou Qiang | Zendy

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How We Understand Hilbert’s Thought of Infinity

Author(s) -

Hong Zhang,

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.

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