Indexed Virtual Number Algebra — a consistent algebraic framework making division by zero operable. Lean 4 proofs, Python implementation, interactive demo.
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Jul 22, 2026 - Python
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nonstandard-analysis
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Sharp Loeb spectral visibility barrier for cut-small Lp kernels, with an exact p=2 obstruction.
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Jul 21, 2026 - Python
ACL2 support for the Iris Number System and the Unified Field Theory
topology calculus analysis geometry cosmology astrophysics number-theory probability-theory maximum-entropy geometric-algebra formal-proofs acl2 clifford-algebra unified-field-theory nonstandard-analysis
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Aug 15, 2026 - Common Lisp
Machine-checked calculus on Conway's surreal numbers, in Lean 4.
theorem-proving proof-assistant mathlib combinatorial-game-theory surreal-numbers lean4 formalized-mathematics nonstandard-analysis
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Sep 3, 2026 - Lean
The Iris Number System: a mechanical, countable definition of numbers, giving a uniquely reliable deduction framework for number theory, analysis, and more
calculus analysis proofs number-theory proofs-and-conjectures nonstandard-analysis conjecture-solving
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Aug 1, 2026 - TypeScript
The Counting-Iris Number System: a mechanical, countable definition of numbers, giving a uniquely reliable deduction framework for number theory, analysis, and more
science engineering calculus analysis reliability numbers proofs number-theory conjectures constructive-mathematics postulates unified-field-theory nonstandard-analysis axiomatic-systems
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Sep 17, 2026 - TypeScript
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