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International Journal for Research Trends and Innovation
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ISSN Approved Journal No: 2456-3315 | Impact factor: 8.14 | ESTD Year: 2016
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Impact Factor : 8.14
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| Paper Title: | Platonism in the Age of Artificial Intelligence |
| Authors Name: | Dr. Soma Das , Prof. Vinod Kumar (Rtd.) |
| Download E-Certificate: | Download |
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IJRTI_208734
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| Published Paper Id: | IJRTI2512118 |
| Published In: | Volume 10 Issue 12, December-2025 |
| DOI: | |
| Abstract: | This paper examines the impact of artificial intelligence (AI) on long-standing debates in the philosophy of mathematics, with particular emphasis on the validity of Platonism in the contemporary context. Platonism holds that mathematical entities exist independently of human minds and are discovered rather than invented. Alternative perspectives—including formalism, nominalism, logicism, intuitionism and fallibilism—offer competing accounts of the nature and epistemology of mathematics. The integration of AI into mathematical practice, through formal verification, computer-assisted proofs and machine-guided discovery, presents unprecedented challenges and opportunities for these philosophical positions. AI’s successes, such as the formal proof of the Kepler Conjecture and the generation of new conjectures in knot theory, lend empirical support to the idea of mathematical objectivity, but they also highlight the role of human-designed formal systems and evolving practices. The paper argues that while AI strengthens the epistemic plausibility of Platonism, it does not conclusively establish its ontological claims. Instead, the interplay between humans and machines suggests a hybrid view, where mathematics emerges both as a discovery of objective structures and as a historically evolving, technologically mediated human practice. The conclusion underscores AI’s transformative role in reshaping mathematical knowledge, expanding epistemic norms and redefining philosophical inquiry into the foundations of mathematics. |
| Keywords: | Artificial intelligence; Philosophy of mathematics; Platonism; Formalism; Nominalism; Fallibilism; Mathematical ontology; Proof verification; Machine learning; Epistemology of mathematics |
| Cite Article: | "Platonism in the Age of Artificial Intelligence", International Journal for Research Trends and Innovation (www.ijrti.org), ISSN:2455-2631, Vol.10, Issue 12, page no.b154-b165, December-2025, Available :http://www.ijrti.org/papers/IJRTI2512118.pdf |
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2456-3315 | IMPACT FACTOR: 8.14 Calculated By Google Scholar| ESTD YEAR: 2016 An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 8.14 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator |
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Published Paper ID: IJRTI2512118
Registration ID:208734
Published In: Volume 10 Issue 12, December-2025
DOI (Digital Object Identifier):
Page No: b154-b165 Country: Saharanpur (U.P.), U.P., INDIA Research Area: Other Publisher : IJ Publication Published Paper URL : https://www.ijrti.org/viewpaperforall?paper=IJRTI2512118 Published Paper PDF: https://www.ijrti.org/papers/IJRTI2512118 |
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ISSN: 2456-3315
Impact Factor: 8.14 and ISSN APPROVED,
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