Concept Notation

E253025

Concept Notation is Gottlob Frege’s groundbreaking 1879 logical calculus that introduced a formal system for representing logical relations and quantification, laying foundations for modern symbolic logic.

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Concept Notation canonical 1

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Predicate Object
instanceOf formal system
logical calculus
work on logic
aimedToClarify foundations of arithmetic
structure of logical inference
associatedWithPhilosophicalView logicism
author Gottlob Frege
developedIn Jena
field logic
mathematical logic
philosophy of logic
hasKeyConcept assertion sign
concept as a function from objects to truth-values
conditional stroke
judgment stroke
quantifier as a higher-level function
historicalSignificance first fully formal system of predicate logic
milestone in the development of analytic philosophy
precursor to standard first-order logic
influenced Alfred North Whitehead
Bertrand Russell
Principia Mathematica
modern logic notation
introducedBy Gottlob Frege
introduces axiomatic method in logic
distinction between function and argument
formal proof system
formal representation of logical relations
formal representation of quantification
function–argument analysis of propositions
laysFoundationFor modern symbolic logic
predicate logic
quantificational logic
originalLanguage German
originalTitle Begriffsschrift
precedes Arithmetices principia, nova methodo exposita
surface form: Peano’s logical notation

Principia Mathematica
publicationYear 1879
topic existential quantification
identity
implication
inference rules
logical consequence
negation
universal quantification
usesNotationType content strokes and concavity signs
two-dimensional formula notation

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Begriffsschrift translatedTitle Concept Notation