Arithmetices principia, nova methodo exposita
E403669
Arithmetices principia, nova methodo exposita is Giuseppe Peano’s foundational work in mathematical logic that presents an axiomatization of arithmetic using symbolic notation.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Arithmetices principia, nova methodo exposita canonical | 2 |
| Peano’s logical notation | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T3995508 — 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: Arithmetices principia, nova methodo exposita Context triple: [Giuseppe Peano, notableWork, Arithmetices principia, nova methodo exposita]
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A.
Principia Mathematica
Principia Mathematica is a landmark three-volume work in mathematical logic and the foundations of mathematics, co-authored by Bertrand Russell and Alfred North Whitehead, which aimed to derive all mathematical truths from a formal system of symbolic logic.
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B.
Die Grundlagen der Arithmetik
Die Grundlagen der Arithmetik is Gottlob Frege’s seminal philosophical work that lays the logical foundations of arithmetic and advances the logicist thesis that arithmetic is reducible to pure logic.
-
C.
Frege’s system in "Grundgesetze der Arithmetik"
Frege’s system in "Grundgesetze der Arithmetik" is a foundational logical framework for arithmetic based on second-order logic and Basic Law V, whose inconsistency—revealed by Russell’s paradox—marked a turning point in the development of modern logic and set theory.
-
D.
Grundgesetze der Arithmetik, Volume II
Grundgesetze der Arithmetik, Volume II is the second volume of Gottlob Frege’s foundational work in logic and the philosophy of mathematics, in which he further develops and applies his formal system for arithmetic.
-
E.
Begriffsschrift
Begriffsschrift is Gottlob Frege’s groundbreaking 1879 work that introduced a formal logical notation and is widely regarded as the foundation of modern symbolic logic.
- 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: Arithmetices principia, nova methodo exposita Target entity description: Arithmetices principia, nova methodo exposita is Giuseppe Peano’s foundational work in mathematical logic that presents an axiomatization of arithmetic using symbolic notation.
-
A.
Principia Mathematica
Principia Mathematica is a landmark three-volume work in mathematical logic and the foundations of mathematics, co-authored by Bertrand Russell and Alfred North Whitehead, which aimed to derive all mathematical truths from a formal system of symbolic logic.
-
B.
Die Grundlagen der Arithmetik
Die Grundlagen der Arithmetik is Gottlob Frege’s seminal philosophical work that lays the logical foundations of arithmetic and advances the logicist thesis that arithmetic is reducible to pure logic.
-
C.
Frege’s system in "Grundgesetze der Arithmetik"
Frege’s system in "Grundgesetze der Arithmetik" is a foundational logical framework for arithmetic based on second-order logic and Basic Law V, whose inconsistency—revealed by Russell’s paradox—marked a turning point in the development of modern logic and set theory.
-
D.
Grundgesetze der Arithmetik, Volume II
Grundgesetze der Arithmetik, Volume II is the second volume of Gottlob Frege’s foundational work in logic and the philosophy of mathematics, in which he further develops and applies his formal system for arithmetic.
-
E.
Begriffsschrift
Begriffsschrift is Gottlob Frege’s groundbreaking 1879 work that introduced a formal logical notation and is widely regarded as the foundation of modern symbolic logic.
- F. None of above. chosen
Statements (42)
| Predicate | Object |
|---|---|
| instanceOf |
logic book
ⓘ
mathematics book ⓘ nonfiction book ⓘ |
| aim | to provide a rigorous logical foundation for arithmetic ⓘ |
| author | Giuseppe Peano ⓘ |
| contribution |
early development of mathematical logic
ⓘ
formalization of arithmetic in axiomatic form ⓘ systematic use of symbolic notation in arithmetic ⓘ |
| countryOfOrigin | Italy ⓘ |
| defines |
successor function on natural numbers
ⓘ
zero as a natural number ⓘ |
| field |
arithmetic
ⓘ
foundations of mathematics ⓘ mathematical logic ⓘ |
| focusesOn | natural numbers ⓘ |
| hasPart |
axiom system for natural numbers
ⓘ
symbolic calculus for arithmetic ⓘ |
| historicalPeriod | late 19th century ⓘ |
| includes |
axioms for addition
ⓘ
axioms for equality ⓘ axioms for multiplication ⓘ induction axiom ⓘ |
| influenced |
Principia Mathematica
ⓘ
development of formal systems in logic ⓘ foundational studies in arithmetic ⓘ |
| introduces | Peano axioms for natural numbers ⓘ |
| mainSubject |
Peano arithmetic
ⓘ
surface form:
Peano axioms
axiomatization of arithmetic ⓘ symbolic logic ⓘ |
| method |
axiomatic method
ⓘ
formal symbolic representation ⓘ |
| notableFor |
clear separation of syntax and arithmetic content
ⓘ
one of the first fully axiomatized theories in mathematics ⓘ |
| originalLanguage | Latin ⓘ |
| partOf |
history of mathematical logic
ⓘ
history of the foundations of mathematics ⓘ |
| publicationYear | 1889 ⓘ |
| publisherLocation | Turin ⓘ |
| relatedWork |
Formulario Mathematico
ⓘ
surface form:
Formulario mathematico
|
| title | Arithmetices principia, nova methodo exposita self-link ⓘ |
| translatedTitle |
Die Grundlagen der Arithmetik
ⓘ
surface form:
The principles of arithmetic, presented by a new method
|
| uses | symbolic notation ⓘ |
How these facts were elicited
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Instruction
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Input
Subject: Arithmetices principia, nova methodo exposita Description of subject: Arithmetices principia, nova methodo exposita is Giuseppe Peano’s foundational work in mathematical logic that presents an axiomatization of arithmetic using symbolic notation.
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Peano’s logical notation
Arithmetices principia, nova methodo exposita
→
title
→
Arithmetices principia, nova methodo exposita
self-link
ⓘ