Carl Gottlieb Ehler
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Carl Gottlieb Ehler (8 September 1685 – 22 November 1753) is considered a
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
, specifically due to his post as an astronomer in Berlin. He was mayor of the Prussian capital of Danzig from March 1741 until his death.


Career

Much of his early life remains a mystery though it can be inferred from his posts later in life that he received an education given to privileged children. From this education, Ehler ventured on to
Paris Paris () is the Capital city, capital and List of communes in France with over 20,000 inhabitants, largest city of France. With an estimated population of 2,048,472 residents in January 2025 in an area of more than , Paris is the List of ci ...
, and after a brief stay to
Berlin Berlin ( ; ) is the Capital of Germany, capital and largest city of Germany, by both area and List of cities in Germany by population, population. With 3.7 million inhabitants, it has the List of cities in the European Union by population withi ...
, which is where his life changed. In Berlin, he took the post of
astronomer An astronomer is a scientist in the field of astronomy who focuses on a specific question or field outside the scope of Earth. Astronomers observe astronomical objects, such as stars, planets, natural satellite, moons, comets and galaxy, galax ...
, and while researching in Berlin, he met
Gottfried Wilhelm Leibniz Gottfried Wilhelm Leibniz (or Leibnitz; – 14 November 1716) was a German polymath active as a mathematician, philosopher, scientist and diplomat who is credited, alongside Sir Isaac Newton, with the creation of calculus in addition to ...
.M. Dascal (trans.), Gottfried Wilhelm Leibniz, ''The Art of Controversies'', (Dordrecht: Springer Science, 2008); p. 451 This meeting would forever change Carl Gottlieb. Ehler would eventually send Leibniz both his own astronomical observations as well as a book produced by the converted catholic, Isaac Papin. This helpful correspondence allowed Leibniz to respond to Papin's new use of skeptical arguments. The response was not quite what Papin had hoped for, and Leibniz instead wrote that the use of good
logic Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical truths. It examines how conclusions follow from premises based on the structure o ...
is the combat of
skepticism Skepticism ( US) or scepticism ( UK) is a questioning attitude or doubt toward knowledge claims that are seen as mere belief or dogma. For example, if a person is skeptical about claims made by their government about an ongoing war then the p ...
. Ehler forged a friendship with fellow Prussian mathematician Heinrich Kuhn. This friendship would then blossom into a correspondence with another mathematician, Leonhard Euler. The correspondence initially began in March 1735 with a letter sent by Ehler to
Euler Leonhard Euler ( ; ; ; 15 April 170718 September 1783) was a Swiss polymath who was active as a mathematician, physicist, astronomer, logician, geographer, and engineer. He founded the studies of graph theory and topology and made influential ...
. The correspondence itself is lost, but we can find the main thread of their relationship with Euler's first letter of response. In the letter, Euler talks of the problem of the
Seven Bridges of Königsberg The Seven Bridges of Königsberg is a historically notable problem in mathematics. Its negative resolution by Leonhard Euler, in 1736, laid the foundations of graph theory and prefigured the idea of topology. The city of Königsberg in Prussia ...
, a problem that Ehler brought to Euler's attention. The reason for such an inquiry was the desire by Kuhn and Ehler to encourage mathematical advancements within Prussia. The letter itself reads: Euler replied to Ehler and Kuhn in April 1736: While this letter seems to suggest Euler's reluctance to tackle such problem, Kuhn and Ehler had piqued his intellectual curiosity by proposing the solution is part of a new style of mathematics. This enticement is what led the great mathematician to solve the problem and eventually bring to light the new mathematical genre known as '' geometria situs''. Along with the correspondence between mathematicians, Ehler also takes his place in history by his post as mayor of Danzig. He was mayor three different times, first in 1741, then in 1745, and finally in 1751. After overseeing the mayoral office of Danzig for the third and final time, Ehler retired to private life and died in 1753. While not the most important of historical figures, Carl Gottlieb Ehler contributed to the correspondence of key mathematical figures, and their solutions continued the expansion of such mathematical fields like
graph theory In mathematics and computer science, graph theory is the study of ''graph (discrete mathematics), graphs'', which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of ''Vertex (graph ...
and
number theory Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers as well as the properties of mathematical objects constructed from integers (for example ...
.
André Weil André Weil (; ; 6 May 1906 – 6 August 1998) was a French mathematician, known for his foundational work in number theory and algebraic geometry. He was one of the most influential mathematicians of the twentieth century. His influence is du ...
, ''Number Theory: an Approach Through History from Hammurapi to Legendre'', (Boston: Birkhäuser , 1983); p. 202


References

{{DEFAULTSORT:Ehler, Carl Gottlieb 1685 births 1753 deaths 18th-century German mathematicians 18th-century German astronomers Mayors of Gdańsk Scientists from Berlin Astronomers from the Kingdom of Prussia