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1879 book on logic by Gottlob Frege
Begriffsschrift (German for, roughly, 'concept-writing') is a book on logic by Gottlob Frege, published in 1879, and the formal system set out in that
Begriffsschrift
German philosopher, logician, and mathematician (1848–1925)
His contributions include the development of modern logic in the Begriffsschrift and work in the foundations of mathematics. His book the Foundations
Gottlob_Frege
System of formal deduction in logic
thereby qualifies as a Hilbert system dates back to Gottlob Frege's 1879 Begriffsschrift. Frege's system used only implication and negation as connectives,
Hilbert_system
Type of logical argument that applies deductive reasoning
predicate logic following the work of Gottlob Frege, in particular his Begriffsschrift (Concept Script; 1879). Syllogism, being a method of valid logical
Syllogism
Symbol connecting formulas in logic
} appeared in Heyting in 1930 (compare to Frege's symbol ⫟ in his Begriffsschrift); the symbol ∼ {\displaystyle \sim } appeared in Russell in 1908; an
Logical_connective
Branch of logic
Geometry, in propositional logic it dates back to Gottlob Frege's 1879 Begriffsschrift. Frege's system used only implication and negation as connectives.
Propositional_logic
Paradox in set theory
announced the discovery to Gottlob Frege of the paradox in Frege's 1879 Begriffsschrift and framed the problem in terms of both logic and set theory, and in
Russell's_paradox
About mathematical functions
things as may fairly find a place in ordinary Logic". Gottlob Frege's Begriffsschrift (1879) preceded Giuseppe Peano (1889), but Peano had no knowledge of
History of the function concept
History_of_the_function_concept
Leibnizian universal language concept
languages like Interlingua, and formal logic projects like Frege's Begriffsschrift. The global expansion of European commerce in Leibniz's time provided
Characteristica_universalis
Class of formal logics
original first-order, classical logic is found in Gottlob Frege's Begriffsschrift. It has a wider application than Aristotle's logic and is capable of
Classical_logic
digital-binary computer by Alan Turing" - "began with Gottlob Frege's Begriffsschrift Zuse, Konrad (28 September 1993). "Chapter 6". In Wössner, Hans (ed
Timeline of programming languages
Timeline_of_programming_languages
Subfield of automated reasoning and mathematical logic
the development of modern logic and formalized mathematics. Frege's Begriffsschrift (1879) introduced both a complete propositional calculus and what is
Automated_theorem_proving
below. Ancestral relations make their first appearance in Frege's Begriffsschrift. Frege later employed them in his Grundgesetze as part of his definition
Ancestral_relation
Mathematical use of "for all" and "there exists"
both all and some-not-all as quantifiers". Gottlob Frege, in his 1879 Begriffsschrift, was the first to employ a quantifier to bind a variable ranging over
Quantifier_(logic)
Study of mathematics itself
metamathematical reflection began with the work of Gottlob Frege, especially his Begriffsschrift, published in 1879. David Hilbert was the first to invoke the term
Metamathematics
Subfield of mathematics
presented an independent development of logic with quantifiers in his Begriffsschrift, published in 1879, a work generally considered as marking a turning
Mathematical_logic
Study of correct reasoning
the development of modern symbolic logic. Many see Gottlob Frege's Begriffsschrift as the birthplace of modern logic. Gottfried Wilhelm Leibniz's idea
Logic
Distinction in the philosophy of language
Frege developed his original theory of meaning in early works like Begriffsschrift (concept paper) of 1879 and Grundlagen (Foundations of Arithmetic)
Sense_and_reference
Let us calculate." Boole's The Laws of Thought (1854) and Frege's Begriffsschrift (1879) defined the modern form of symbolic mathematical logic. Building
History of artificial intelligence
History_of_artificial_intelligence
Fragment of first-order logic
Sanders Peirce in the nineteenth century, and by Frege in his 1879 Begriffsschrift. Prior to the work of these three, term logic (syllogistic logic) was
Monadic_predicate_calculus
Rule of logical inference
of the 19th century with early works of mathematical logic, such as Begriffsschrift and Principia Mathematica. Given two variables p and q that can either
Modus_ponens
20th-century tradition of Western philosophy
modern, mathematical and predicate logic with quantifiers in his book Begriffsschrift (English: Concept-script, 1879). Frege unified the two strains of ancient
Analytic_philosophy
Works by Aristotle on logic
Aristotle's square of opposition at the end of his groundbreaking Begriffsschrift to show the harmony of his theory with the Aristotelian tradition.
Organon
Canadian philosopher (born 1954)
treating Begriffsschrift (Frege's logic) as a notational variant of quantificational logic, Macbeth proposes that reasoning in Begriffsschrift is more
Danielle_Macbeth
Tree in formal language theory
form of parse tree was in use as early as 1879 in Gottlob Frege's Begriffsschrift book. A parse tree is made up of nodes and branches. In the picture
Parse_tree
French-American mathematical historian
mathematics. It begins with the first complete translation of Frege's 1879 Begriffsschrift, followed by 45 short pieces on mathematical logic and axiomatic set
Jean_van_Heijenoort
If and only if relation
Macmillan, Barclay, & Macmillan/George Bell. p. 17. Frege, G. (1879). Begriffsschrift, eine der arithmetischen nachgebildete Formelsprache des reinen Denkens
Logical_biconditional
Sequence of words formed by specific rules
realize Leibniz's ideas, through a notational system, first outlined in Begriffsschrift (1879) and more fully developed in his 2-volume Grundgesetze der Arithmetik
Formal_language
Symbol in mathematical logic
/tex-archive/macros/latex/contrib/turnstile". ctan.org. Frege, Gottlob (1879). Begriffsschrift: Eine der arithmetischen nachgebildete Formelsprache des reinen Denkens
Turnstile_(symbol)
Mathematics notation with operators preceding operands
not the first one as Gottlob Frege had proposed his parentheses-free Begriffsschrift notation in 1879 already. Alonzo Church mentions this notation in his
Polish_notation
Metatheorem
logical (see logicism). Most of these axioms were carried over from his Begriffsschrift; the one truly new principle was one he called the Basic Law V (now
Frege's_theorem
3-volume treatise on mathematics, 1910–1913
down.[citation needed] PM adopts the assertion sign "⊦" from Frege's Begriffsschrift (1879): "(I)t may be read 'it is true that'" Thus to assert a proposition
Principia_Mathematica
Approach to logic
tradition. The first predicate logic was that of Frege's landmark Begriffsschrift (1879), little read before 1950, in part because of its eccentric notation
Term_logic
Type of determiner that indicates quantity
touching on the alethic modalities. Starting with Gottlob Frege's 1879 Begriffsschrift, Charles Sanders Peirce's 1885 work, and Bertrand Russell's 1903 Principles
Quantifier_(linguistics)
original on 2023-02-02. Retrieved 2016-06-04. Arthur Gottlob Frege. Begriffsschrift: eine der arithmetischen nachgebildete Formelsprache des reinen Denkens
History_of_computing_hardware
Failure in traditional logic to describe certain intuitively valid inferences
calculus capable of dealing with such inferences was Gottlob Frege's Begriffsschrift (1879), the ancestor of modern predicate logic, which dealt with quantifiers
Problem of multiple generality
Problem_of_multiple_generality
Calendar year
cocoa beans to Ghana from Equatorial Guinea. Gottlob Frege publishes Begriffsschrift, eine der arithmetischen nachgebildete Formelsprache des reinen Denkens
1879
Axioms for the natural numbers
in mathematics; such a separation had first been introduced in the Begriffsschrift by Gottlob Frege, published in 1879. Peano was unaware of Frege's work
Peano_axioms
a greater continuity of development. The logicist period from the Begriffsschrift of Frege to the Principia Mathematica of Russell and Whitehead. The
History_of_logic
Law (all real numbers are positive, negative, or 0)
cardinal numbers (because they are all well-orderable in that case). Begriffsschrift contains an early formulation of the law of trichotomy Dichotomy Law
Law_of_trichotomy
Type of diagrammatic notation for propositional logic
Euler's diagrams and Venn's 1880 revision thereof. Frege's 1879 work Begriffsschrift also employed a two-dimensional notation for logic, but one very different
Existential_graph
Possessing negative truth value
Int.: pp. 25–38; Metaphysics IV: pp. 1588–1595. Gottlob Frege (1879, Begriffsschrift) Alfred Tarski (1930s, Introduction to Logic, Chapter II (Symbolic
False_(logic)
German philosopher
Klaus Reich, Lorenz Krüger und Reinhard Brandt. An Essay on Freges Begriffsschrift (1879) is appended to the book. In it, Wolff demonstrates the misunderstandings
Michael_Wolff_(philosopher)
Basic notion of sameness in mathematics
equality. In 1879 Gottlob Frege would publish his pioneering text Begriffsschrift, which would shift the focus of logic from Aristotelian logic, focused
Equality_(mathematics)
Theoretical universal logical calculation framework
grant primacy to calculations. That logic began with Frege's 1879 Begriffsschrift and C.S. Peirce's writings on logic in the 1880s. Frege intended his
Calculus_ratiocinator
Formal language used to prove statements
aegis of term logic. Gottlob Frege's two-dimensional notation of the Begriffsschrift (1879) is usually regarded as introducing the modern concept of quantifier
Proof_calculus
Approach to the semantics of logic that locates meaning in inferential role
following Robert Brandom — has been traced through Wilfrid Sellars to the Begriffsschrift of Gottlob Frege. Dummett gave the position its most sustained articulation
Proof-theoretic_semantics
German-American philosopher (1891–1970)
consist of his student notes, his seminars with Frege (describing the Begriffsschrift and the logic in mathematics). Carnap's notes from Russell's seminar
Rudolf_Carnap
Notion of self-reference in mathematics and philosophy
with his reading of Frege's treatise of mathematical logic, his 1879 Begriffsschrift; the offending sentence in Frege is the following: On the other hand
Impredicativity
Overview of and topical guide to logic
Linguistics and Philosophy A System of Logic Attacking Faulty Reasoning Begriffsschrift Categories (Aristotle) Charles Sanders Peirce bibliography De Interpretatione
Outline_of_logic
Graphical representation of a morphism
invented independently from the one-dimensional syntax of Gottlob Frege's Begriffsschrift. String diagrams are made of boxes f : x → y {\displaystyle f:x\to
String_diagram
Mathematical term; concerning axioms used to derive theorems
founding the subject of non-Euclidean geometry. 1879 Gottlob Frege Begriffsschrift Frege published a formal system for the foundations of mathematics
Axiomatic_system
Academic field of logic and rhetoric
demonstrate (see Gottlob Frege, The Foundations of Arithmetic, 1884, and Begriffsschrift, 1879) that arithmetical truths can be derived from purely logical
Argumentation_theory
Bertrand Russell announced his discovery of the paradox in Frege's Begriffsschrift. Frege promptly responded, acknowledging the problem and proposing
History_of_type_theory
system QED project Rocq, formerly Coq Automated Mathematician Eurisko Begriffsschrift Systems of Logic Based on Ordinals – Alan Turing's Ph.D. thesis Philosophy
List of mathematical logic topics
List_of_mathematical_logic_topics
Axiom in Russell's ramified theory of types
pair. An intuitive version of this notion appeared in Frege's (1879) Begriffsschrift (translated in van Heijenoort 1967:23); Russell's 1903 followed closely
Axiom_of_reducibility
Sanders Peirce, "How to Make Our Ideas Clear", 1878 Gottlob Frege, Begriffsschrift, 1879 Friedrich Nietzsche, Thus Spoke Zarathustra, 1883–1891 Friedrich
List of publications in philosophy
List_of_publications_in_philosophy
Type of logic diagram
opposition with the claim. Gottlob Frege (8 November 1848 – 26 July 1925)'s Begriffsschrift also presents a square of oppositions, organised in an almost identical
Square_of_opposition
Olsson (2007). Frege's foundations of mathematics in his 1879 book Begriffsschrift turned out to be inconsistent because of Russell's paradox, found in
List_of_incomplete_proofs
School of thought in philosophy of mathematics
(p. 43). Frege 1879 describes his intent in the Preface to his 1879 Begriffsschrift: He started with a consideration of arithmetic: did it derive from
Logicism
Book by Gottlob Frege
ISBN 0810106051. OCLC 650. {{cite book}}: ISBN / Date incompatibility (help) Begriffsschrift Foundationalism Round square copula Concept horse paradox Frege 1960
The_Foundations_of_Arithmetic
Croatian philosopher (1947–2013)
Wittgenstein-Symposiums (1999), pp. 51–59. The Heritage of Frege’s Begriffsschrift. Published in Acta Analytica #25 (2000), pp. 61–82. "In memoriam -
Goran_Švob
of digital logic. Gottlob Frege (1879) Published in 1879, the title Begriffsschrift is usually translated as concept writing or concept notation; the full
List of publications in mathematics
List_of_publications_in_mathematics
American philosopher and logician (1940–1996)
Platonism," The Philosophical Review 94: 327–344. LLL. 1985b, "Reading the Begriffsschrift," Mind 94: 331–344. LLL; FPM: 163–81. 1985c (with Giovanni Sambin)
George_Boolos
Philosophical problem about Frege's distinction between concept and object
Cook, Roy T. (2023). Zalta, Edward N. (ed.). "The Period Between Begriffsschrift and Grundgesetze". Stanford Encyclopedia of Philosophy. Retrieved 16
Concept_horse_paradox
Austrian philosopher
confused concept and object in his Die Grundlagen der Arithmetik and in Begriffsschrift. Frege responded to a number of aspects of this critique in 1892 with
Benno_Kerry
Liberal arts college in Jerusalem, Israel
The Prince by Niccolò Machiavelli, On Liberty by John Stuart Mill, Begriffsschrift by Gottlob Frege, The Road to Serfdom by Friedrich Hayek, After Virtue
Shalem_College
Renaissance of Art in France Edward Dowden – Southey Gottlob Frege – Begriffsschrift (Concept Writing) Henry George – Progress and Poverty Agnes Giberne
1879_in_literature
American philosopher, writer and editor
work on his biography of Frege, his English translation of Frege's Begriffsschrift and related articles, and his extensive annotated Frege bibliography
Terrell_Ward_Bynum
publishes Euclid and his Modern Rivals in London. Gottlob Frege publishes Begriffsschrift, eine der arithmetischen nachgebildete Formelsprache des reinen Denkens
1879_in_science
Scottish mathematician and novelist (1831–1909)
the "calculus of equivalent statements", preceding Gottlob Frege's Begriffsschrift. He subsequently published 11 articles in Mind magazine, during the
Hugh_MacColl
German philosopher (born 1946)
treatise in order to present it in his own name, etc., up to Frege's Begriffsschrift, Wittgenstein's album and Levinas' Talmud interpretation. According
Werner_Stegmaier
proved to depend on such mappings. Wörter und Sachen Frege, G. (1967). Begriffsschrift, a formula language modeled upon that of arithmetic for pure thought
Pragmatic_mapping
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