Abstract
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We provide a collection of natural axioms centered around the symmetric forcing
theorem, which yield the concept of symmetric extensions, avoiding the technicalities
involved in standard presentations.
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Keywords
forcing, symmetric extension
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Mathematical Subject Classification
Primary: 03E40, 03E30, 03E25, 03A05
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Milestones
Received: 8 November 2024
Revised: 23 September 2025
Accepted: 23 September 2025
Published: 26 November 2025
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