Mark Kac
E16842
Mark Kac was a Polish-American mathematician renowned for his work in probability theory and mathematical physics, particularly for linking stochastic processes with partial differential equations.
All labels observed (2)
How this entity was disambiguated
This entity first appeared as the object of triple T100565 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Mark Kac Context triple: [Feynman–Kac formula, namedAfter, Mark Kac]
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A.
Stanislaw Ulam
Stanislaw Ulam was a Polish-American mathematician and physicist known for his key contributions to the development of the hydrogen bomb, the Monte Carlo method, and early work in computing and set theory.
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B.
Freeman Dyson
Freeman Dyson was a renowned theoretical physicist and mathematician known for his work in quantum electrodynamics, solid-state physics, and futurist writings.
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C.
Marian Smoluchowski
Marian Smoluchowski was a Polish physicist and pioneer of statistical physics whose work on molecular motion and fluctuations helped establish the kinetic theory of matter and advanced the understanding of Brownian motion.
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D.
John von Neumann
John von Neumann was a pioneering 20th-century mathematician and polymath whose foundational work in game theory, computer science, quantum mechanics, and economics profoundly shaped modern science and technology.
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E.
Albert W. Tucker
Albert W. Tucker was a Canadian-born American mathematician best known for his influential work in game theory and topology, including formulating the Prisoner’s Dilemma and mentoring John Nash.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Mark Kac Target entity description: Mark Kac was a Polish-American mathematician renowned for his work in probability theory and mathematical physics, particularly for linking stochastic processes with partial differential equations.
-
A.
Stanislaw Ulam
Stanislaw Ulam was a Polish-American mathematician and physicist known for his key contributions to the development of the hydrogen bomb, the Monte Carlo method, and early work in computing and set theory.
-
B.
Freeman Dyson
Freeman Dyson was a renowned theoretical physicist and mathematician known for his work in quantum electrodynamics, solid-state physics, and futurist writings.
-
C.
Marian Smoluchowski
Marian Smoluchowski was a Polish physicist and pioneer of statistical physics whose work on molecular motion and fluctuations helped establish the kinetic theory of matter and advanced the understanding of Brownian motion.
-
D.
John von Neumann
John von Neumann was a pioneering 20th-century mathematician and polymath whose foundational work in game theory, computer science, quantum mechanics, and economics profoundly shaped modern science and technology.
-
E.
Albert W. Tucker
Albert W. Tucker was a Canadian-born American mathematician best known for his influential work in game theory and topology, including formulating the Prisoner’s Dilemma and mentoring John Nash.
- F. None of above. chosen
Statements (48)
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Mark Kac Description of subject: Mark Kac was a Polish-American mathematician renowned for his work in probability theory and mathematical physics, particularly for linking stochastic processes with partial differential equations.
Referenced by (25)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
M. Kac