Types, Tableaux and Godel’s God
E504790
"Types, Tableaux and Godel’s God" is a philosophical logic book by Melvin Fitting that uses tools from modal logic, type theory, and tableau methods to analyze and formalize Gödel’s ontological argument for the existence of God.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Types, Tableaux and Godel’s God canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T5234094 — 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: Types, Tableaux and Godel’s God Context triple: [Melvin Fitting, notableWork, Types, Tableaux and Godel’s God]
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A.
Gödel's ontological proof
Gödel's ontological proof is a formal, modal-logic-based argument for the existence of God that rigorously develops and refines earlier ontological arguments within a precise axiomatic framework.
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B.
Recherches sur la théorie de la démonstration
Recherches sur la théorie de la démonstration is Jacques Herbrand’s foundational work in mathematical logic, introducing key results in proof theory and what is now known as Herbrand’s theorem.
-
C.
Remarks on the Foundations of Mathematics
Remarks on the Foundations of Mathematics is a posthumously published collection of Ludwig Wittgenstein’s later writings that critically examines the nature of mathematical truth, proof, and practice from a philosophical and language-centered perspective.
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D.
Hilbert-style deductive systems
Hilbert-style deductive systems are axiomatic proof systems in mathematical logic that use a small set of axiom schemas and a few inference rules (typically including modus ponens) to derive theorems in formal theories such as Zermelo–Fraenkel set theory.
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E.
Hilbert’s program
Hilbert’s program was an influential early-20th-century initiative in the foundations of mathematics that sought to formalize all of mathematics and prove its consistency using finitistic methods.
- 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: Types, Tableaux and Godel’s God Target entity description: "Types, Tableaux and Godel’s God" is a philosophical logic book by Melvin Fitting that uses tools from modal logic, type theory, and tableau methods to analyze and formalize Gödel’s ontological argument for the existence of God.
-
A.
Gödel's ontological proof
Gödel's ontological proof is a formal, modal-logic-based argument for the existence of God that rigorously develops and refines earlier ontological arguments within a precise axiomatic framework.
-
B.
Recherches sur la théorie de la démonstration
Recherches sur la théorie de la démonstration is Jacques Herbrand’s foundational work in mathematical logic, introducing key results in proof theory and what is now known as Herbrand’s theorem.
-
C.
Remarks on the Foundations of Mathematics
Remarks on the Foundations of Mathematics is a posthumously published collection of Ludwig Wittgenstein’s later writings that critically examines the nature of mathematical truth, proof, and practice from a philosophical and language-centered perspective.
-
D.
Hilbert-style deductive systems
Hilbert-style deductive systems are axiomatic proof systems in mathematical logic that use a small set of axiom schemas and a few inference rules (typically including modus ponens) to derive theorems in formal theories such as Zermelo–Fraenkel set theory.
-
E.
Hilbert’s program
Hilbert’s program was an influential early-20th-century initiative in the foundations of mathematics that sought to formalize all of mathematics and prove its consistency using finitistic methods.
- F. None of above. chosen
Statements (45)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
logic textbook ⓘ philosophy of religion book ⓘ |
| aimsTo |
clarify the logical assumptions behind Gödel’s argument
ⓘ
provide rigorous formal systems for ontological reasoning ⓘ |
| analyzesWorkOf | Kurt Gödel ⓘ |
| author | Melvin Fitting ⓘ |
| concerns |
existence of God
ⓘ
ontological arguments ⓘ |
| contributesTo |
applications of tableau methods in modal logic
ⓘ
applications of type theory in philosophy ⓘ debate on the validity of Gödel’s ontological proof ⓘ |
| discusses |
formal properties of divine attributes
ⓘ
necessity and possibility in the context of God’s existence ⓘ |
| examines | logical structure of Gödel’s ontological argument ⓘ |
| field |
logic
ⓘ
mathematical logic ⓘ modal metaphysics ⓘ philosophy ⓘ philosophy of religion ⓘ |
| focusesOn | formal analysis of Gödel’s ontological proof ⓘ |
| genre | academic monograph ⓘ |
| hasForm |
academic text
ⓘ
printed book ⓘ |
| hasSubject |
formal semantics
ⓘ
higher-order logic ⓘ ontological proof formalization ⓘ proof theory ⓘ |
| intendedAudience |
logicians
ⓘ
philosophers ⓘ students of modal logic ⓘ students of philosophy of religion ⓘ |
| language | English ⓘ |
| mainTopic |
Gödel’s ontological argument
ⓘ
formalization of ontological arguments ⓘ modal logic ⓘ philosophical logic ⓘ tableau methods ⓘ type theory ⓘ |
| relatedTo |
modal ontological arguments
ⓘ
possible worlds semantics ⓘ proof search via tableaux ⓘ |
| usesTool |
modal logic
ⓘ
tableau proof systems ⓘ type theory ⓘ |
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: Types, Tableaux and Godel’s God Description of subject: "Types, Tableaux and Godel’s God" is a philosophical logic book by Melvin Fitting that uses tools from modal logic, type theory, and tableau methods to analyze and formalize Gödel’s ontological argument for the existence of God.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.