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Theorem

Tennenbaum's Theorem

Logic and Foundations

Tennenbaum's theorem, named for Stanley Tennenbaum who presented it in 1959, is a result in mathematical logic stating that no countable nonstandard model of first-order Peano arithmetic can be recursive. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts
Classification
Statement Form
Impossibility Theorem 1
Proof Year
1959 1
Connections

Has Statement Form

Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.

In Branch

Source Tennenbaum's theorem (Wikipedia)
Sources
1. Tennenbaum's theorem (Wikipedia)
In Branch: Logic and Foundations, Lead sentence
Quote, In Branch: Logic and Foundations, Lead sentence
who presented the theorem in 1959, is a result in mathematical logic that states that no countable nonstandard model of first-orde
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