FREGE in English translation

• frege

Examples of using Frege in Danish and their translations into English

de tre andre er Aristoteles, Frege, og Gödel.
the other three being Aristotle, Frege, and Gödel.

Mens bind 2 i den grundlæggende love for Aritmetik var ved printere Frege modtaget et brev(den 16 juni 1902) fra Bertrand Russell.
While Volume 2 of The Basic Laws of Arithmetic was at the printers Frege received a letter(on 16 June 1902) from Bertrand Russell.

Frege, som vi har nævnt,
Frege, as we have mentioned,

tysk matematisk filosof Gottlob Frege er i dag anses for faderen til matematisk logik.
the German mathematical philosopher Gottlob Frege is today considered the father of mathematical logic.

mange af de teoremer i bind 1, ikke gå igennem og Frege må have vidst dette.
many of the theorems of Volume 1 do not go through and Frege must have known this.

den blev offentliggjort, Frege opdaget, at dette volumen,
before it was published, Frege discovered that this volume,

En anden udtalelse om, at man ofte læser er, at Frege var så deprimeret efter Russell's skrivelser, at han opgav forskning.
Another statement that one often reads is that Frege was so depressed after Russell 's letters that he gave up research.

i de senere mængder Frege bestemt til at udvide arbejdet til de reelle tal.
in the later volumes Frege intended to extend the work to the real numbers.

Efter indstilling hans dagsorden i begyndelsen af Grundlagen, Frege kigget på de bidrag, som tidligere matematikere til to grundlæggende spørgsmål:
After setting his agenda at the start of the Grundlagen, Frege looked at the contributions made by previous mathematicians to two fundamental questions:

I denne periode Frege blev udnævnt til ordinært honorære professor ved Jena,
During this period Frege was appointed ordinary honorary professor at Jena,

Han introducerede begrebet"logiske konsekvens«, som gav en logik tættere på matematisk ræsonnement end de systemer, som foreslået af Frege, Russell og Hilbert.
He introduced the notion of'logical consequence' which provided a logic closer to mathematical reasoning than the systems proposed by Frege, Russell and Hilbert.

Nu Frege axiomatized regne med en intuitiv indsamling af aksiomer,
Now Frege axiomatized arithmetic with an intuitive collection of axioms,

Faktisk er dette langt fra sandheden, og man må se Frege som den person der gjort en af de vigtigste bidrag til grundlaget for matematik, som nogensinde er foretaget.
In fact this is far from the truth and one must view Frege as the person who made one of the most important contributions to the foundations of mathematics that has ever been made.

I 1879 Frege offentliggjort sin første store arbejde Begriffsschrift,
In 1879 Frege published his first major work Begriffsschrift,

Efter mange breve mellem de to, Frege modificeret en af hans aksiomer
After many letters between the two, Frege modified one of his axioms

Gottlob Frege præsenterede en uafhængig udvikling af logikken med kvantifikatorer i hans Begriffsschrift,
Gottlob Frege presented an independent development of logic with quantifiers in his Begriffsschrift,

Ligesom Gottlob Frege, Russell's grundlæggende idé om at forsvare logicism var, at numre kan identificeres med klasser af klasser
Like Gottlob Frege, Russell's basic idea for defending logicism was that numbers may be identified with classes of classes

I 1923 Frege kom til den konklusion, at det mål, han havde sat
In 1923 Frege came to the conclusion that the aim he had set himself throughout most of his career,

Frege argumenterer:"om aftenen stjerne""Morgenstjerne" does not have samme følelse som"aften stjerne""aftenen stjerne", så"den aften stjerne" ikke har samme betydning som"Morgenstjerne.
Frege argues:"the evening star""the morning star" does not have the same sense as"the evening star""the evening star" so"the evening star" does not have the same sense as"the morning star.

Efter hans to års studier ved universitetet i Jena, Frege fortsatte sin uddannelse i 1871 ind på universitetet i Göttingen, hvor han studerede kurser i matematik,
After his two years of study at the University of Jena, Frege continued his education in 1871 entering the University of Göttingen where he studied courses in mathematics,