PhilArchive
open access
Is Euclid's proof of the infinitude of prime numbers tautological?
Euclid's classic proof about the infinitude of prime numbers has been a standard model of reasoning in student textbooks and books of elementary number theory. It has withstood scrutiny for over 2000 years but we shall prove that despite the deceptive appearance of its analytical reasoning it is tautological in nature. We shall argue that the proof is more of an observation about the general property of a prime numbers than an expository style of natural deduction of the proof of their infinitude.
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- Andreas Müller, Constructing Practical Reasons: Oxford: Oxford University Press, 2020. ISBN: 9780198754329#735181
- Probabilities of Conditionals and Conditional Probabilities — Revisited#85422
- Wittgenstein, Peirce, and Paradoxes of Mathematical Proof#746047
- The Dependence of Truth on Being: Is There a Problem for Minimalism?#707915
- Rationale of the Mathematical Joke#114080
Record · ID 750466
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive