09-15-2026, 04:41 PM
The article “Who Owns the Theorem?” by Melvyn B. Nathanson examines the unusual question of whether a mathematician can be said to “own” a mathematical theorem. Nathanson begins by contrasting mathematics with other sciences, where secrecy can have commercial or national-security implications. He recalls the 1970s controversy over the US National Security Agency’s attempt to impose pre-publication review on cryptographic research, and argues that mathematics is generally more open because mathematical truths have little direct commercial value.
Once a theorem has been proved, however, an interesting ethical problem arises: if mathematician A discovers and proves a theorem but has not yet published it, does mathematician B have the right to use that theorem after learning about it, provided A is properly credited?
Nathanson ultimately questions the very idea that mathematical truths can be privately owned. A theorem may be “yours” in the sense that you discovered and proved it, but mathematical truths themselves are not created by their discoverers—they are discovered and become part of a shared body of knowledge. Nevertheless, mathematicians sometimes keep results secret to prevent others from “scooping” them, particularly when publications, careers, promotions, prizes, or major conjectures are involved.
The article therefore presents mathematical ownership primarily as an ethical and professional question: how should mathematicians balance priority and recognition with the fundamental communal nature of mathematical knowledge?
ARTICLE [PDF]
Once a theorem has been proved, however, an interesting ethical problem arises: if mathematician A discovers and proves a theorem but has not yet published it, does mathematician B have the right to use that theorem after learning about it, provided A is properly credited?
Nathanson ultimately questions the very idea that mathematical truths can be privately owned. A theorem may be “yours” in the sense that you discovered and proved it, but mathematical truths themselves are not created by their discoverers—they are discovered and become part of a shared body of knowledge. Nevertheless, mathematicians sometimes keep results secret to prevent others from “scooping” them, particularly when publications, careers, promotions, prizes, or major conjectures are involved.
The article therefore presents mathematical ownership primarily as an ethical and professional question: how should mathematicians balance priority and recognition with the fundamental communal nature of mathematical knowledge?
ARTICLE [PDF]
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│ KONSTANTINOS MICHAILIDIS │
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│ KONSTANTINOS MICHAILIDIS │
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