Satan, Cantor, and Infinity
E206685
"Satan, Cantor, and Infinity" is a popular logic and mathematics book by Raymond Smullyan that presents puzzles and paradoxes through playful dialogues and stories.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Satan, Cantor, and Infinity canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T1835353 — 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: Satan, Cantor, and Infinity Context triple: [Raymond Smullyan, notableWork, Satan, Cantor, and Infinity]
-
A.
Orders of Infinity
"Orders of Infinity" is a mathematical treatise by G. H. Hardy that systematically develops the theory of divergent series and the comparative growth rates of functions in analysis.
-
B.
Cantor’s paradox
Cantor’s paradox is a foundational result in set theory showing that the “set of all sets” cannot exist because its power set would have a strictly larger cardinality, leading to a contradiction.
-
C.
Cantor’s theorem
Cantor’s theorem is a fundamental result in set theory stating that the power set of any set has a strictly greater cardinality than the set itself, implying there is no largest infinity.
-
D.
von Neumann paradox in set theory
The von Neumann paradox in set theory is a foundational result showing that, under certain group-theoretic conditions, a set can be decomposed and reassembled into paradoxical subsets of equal “size,” illustrating the counterintuitive consequences of the axiom of choice.
-
E.
Surreal numbers
Surreal numbers are a class of numbers introduced by John H. Conway that form an extensive ordered field encompassing the real numbers, infinite quantities, and infinitesimals within a unified framework.
- 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: Satan, Cantor, and Infinity Target entity description: "Satan, Cantor, and Infinity" is a popular logic and mathematics book by Raymond Smullyan that presents puzzles and paradoxes through playful dialogues and stories.
-
A.
Orders of Infinity
"Orders of Infinity" is a mathematical treatise by G. H. Hardy that systematically develops the theory of divergent series and the comparative growth rates of functions in analysis.
-
B.
Cantor’s paradox
Cantor’s paradox is a foundational result in set theory showing that the “set of all sets” cannot exist because its power set would have a strictly larger cardinality, leading to a contradiction.
-
C.
Cantor’s theorem
Cantor’s theorem is a fundamental result in set theory stating that the power set of any set has a strictly greater cardinality than the set itself, implying there is no largest infinity.
-
D.
von Neumann paradox in set theory
The von Neumann paradox in set theory is a foundational result showing that, under certain group-theoretic conditions, a set can be decomposed and reassembled into paradoxical subsets of equal “size,” illustrating the counterintuitive consequences of the axiom of choice.
-
E.
Surreal numbers
Surreal numbers are a class of numbers introduced by John H. Conway that form an extensive ordered field encompassing the real numbers, infinite quantities, and infinitesimals within a unified framework.
- F. None of above. chosen
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
logic puzzle book ⓘ mathematics popularization book ⓘ |
| author | Raymond Smullyan ⓘ |
| educationalObjective |
explain set-theoretic ideas
ⓘ
explore self-referential paradoxes ⓘ illustrate logical reasoning ⓘ introduce concepts of infinity ⓘ present computability concepts ⓘ |
| genre |
logic puzzles
ⓘ
philosophical puzzles ⓘ recreational mathematics ⓘ |
| hasCharacter |
Satan
ⓘ
linked to:
Iblis
logicians ⓘ mathematicians ⓘ |
| hasPart |
dialogue sequences
ⓘ
expository interludes ⓘ puzzle collections ⓘ |
| language | English ⓘ |
| mainSubject |
Gödel’s incompleteness theorems
ⓘ
Turing machines ⓘ
linked to:
Turing machine
computability theory ⓘ diagonalization ⓘ infinity ⓘ logic ⓘ mathematics ⓘ paradoxes ⓘ self-reference ⓘ set theory ⓘ |
| narrativeForm |
dialogue
ⓘ
short stories ⓘ |
| notableFor |
accessible treatment of advanced logic topics
ⓘ
combining fiction with mathematical exposition ⓘ popularizing ideas about infinity ⓘ |
| relatedWorkByAuthor |
The Lady or the Tiger?
ⓘ
To Mock a Mockingbird ⓘ What Is the Name of This Book? ⓘ |
| style |
didactic
ⓘ
humorous ⓘ playful ⓘ |
| targetAudience |
general readers
ⓘ
puzzle enthusiasts ⓘ students of logic ⓘ |
| usesDevice |
logical puzzles
ⓘ
paradoxes ⓘ thought experiments ⓘ |
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: Satan, Cantor, and Infinity Description of subject: "Satan, Cantor, and Infinity" is a popular logic and mathematics book by Raymond Smullyan that presents puzzles and paradoxes through playful dialogues and stories.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.