**Image context:** A chalkboard with a simple arithmetic equation written in white chalk.

The image contains a single mathematical claim: “1+1=2”. In standard arithmetic over the natural numbers/integers/reals, this statement is true and is derivable from widely accepted axiom systems (e.g., Peano arithmetic) once addition and numerals are defined. Targeted web research found reputable references describing the axiomatic basis (Peano axioms) and scholarly/archival discussion that 1+1=2 is provable within formal systems (e.g., in the context of Principia Mathematica’s development of arithmetic).

What checked out (1)

• In standard arithmetic, 1+1=2.

Confidence

High — The claim is a universally accepted identity in standard arithmetic and is consistent with (and derivable from) mainstream foundational axiom systems. Sources consulted include a reputable mathematics reference for Peano axioms and reputable scholarly/archival discussions situating the formal provability of basic arithmetic results.

Search journal

Peano axioms prove 1+1=2 primary source

• https://mathworld.wolfram.com/PeanosAxioms.html

Principia Mathematica 1+1=2 proposition

• https://old.maa.org/node/736573
• https://philopedia.org/works/principia-mathematica/
• https://plato.stanford.edu/entries/pm-notation/

formal proof of 1+1=2 in ZFC axioms source

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