Johann Schultz (architect)
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Johann Friedrich Schultz, also known as Johann Schultz (11 June 1739,
Mühlhausen Mühlhausen () is a town in the north-west of Thuringia, Germany, north of Niederdorla, the country's Central Germany (geography)#Geographical centre, geographical centre, north-west of Erfurt, east of Kassel and south-east of Göttingen ...
– 27 June 1805,
Königsberg Königsberg (; ; ; ; ; ; , ) is the historic Germany, German and Prussian name of the city now called Kaliningrad, Russia. The city was founded in 1255 on the site of the small Old Prussians, Old Prussian settlement ''Twangste'' by the Teuton ...
), was a German
Enlightenment Enlightenment or enlighten may refer to: Age of Enlightenment * Age of Enlightenment, period in Western intellectual history from the late 17th to late 18th century, centered in France but also encompassing (alphabetically by country or culture): ...
Protestant Protestantism is a branch of Christianity that emphasizes Justification (theology), justification of sinners Sola fide, through faith alone, the teaching that Salvation in Christianity, salvation comes by unmerited Grace in Christianity, divin ...
theologian Theology is the study of religious belief from a religious perspective, with a focus on the nature of divinity. It is taught as an academic discipline, typically in universities and seminaries. It occupies itself with the unique content of ...
,
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 ...
and
philosopher Philosophy ('love of wisdom' in Ancient Greek) is a systematic study of general and fundamental questions concerning topics like existence, reason, knowledge, Value (ethics and social sciences), value, mind, and language. It is a rational an ...
. He is best known as a close personal friend and trusted expositor (a person who explains complicated ideas) of
Immanuel Kant Immanuel Kant (born Emanuel Kant; 22 April 1724 – 12 February 1804) was a German Philosophy, philosopher and one of the central Age of Enlightenment, Enlightenment thinkers. Born in Königsberg, Kant's comprehensive and systematic works ...
. Johann Schultz was a ''Hofprediger'' (second court
chaplain A chaplain is, traditionally, a cleric (such as a minister, priest, pastor, rabbi, purohit, or imam), or a lay representative of a religious tradition, attached to a secular institution (such as a hospital, prison, military unit, intellige ...
) and Professor of Mathematics at the
University of Königsberg The University of Königsberg () was the university of Königsberg in Duchy of Prussia, which was a fief of Poland. It was founded in 1544 as the world's second Protestant Reformation, Protestant academy (after the University of Marburg) by Duke A ...
.


Personal life

Schultz studied theology and mathematics at the
Collegium Fridericianum The Collegium Fridericianum (also known as the Friedrichskolleg, Friedrichskollegium, and Friedrichs-Kollegium) was a prestigious Gymnasium (Germany), gymnasium in Königsberg, Prussia. Alumni were known as ''Friderizianer''.Gause, p. 716 History ...
at Königsberg University, where Immanuel Kant lectured, and matriculated on 24 September 1756. Ludwig Borowski, one of Kant's early biographers stated that Schultz was one of the best students of Kant, and this is often repeated in the literature, but Schultz denied ever having attended a lecture. Schultz initially worked as a private
tutor Tutoring is private academic help, usually provided by an expert teacher; someone with deep knowledge or defined expertise in a particular subject or set of subjects. A tutor, formally also called an academic tutor, is a person who provides assis ...
within Königsberg before undertaking employment as a
pastor A pastor (abbreviated to "Ps","Pr", "Pstr.", "Ptr." or "Psa" (both singular), or "Ps" (plural)) is the leader of a Christianity, Christian congregation who also gives advice and counsel to people from the community or congregation. In Lutherani ...
in
Starkenberg Starkenberg is a municipality in the district Altenburger Land, in Thuringia, Germany. On 1 December 2008, it incorporated the former municipalities Naundorf and Tegkwitz. History Within the German Empire (1871–1918), Starkenberg was part of ...
between 1766 and 1769, taking similar employment at Löwenhagen between 1769 and 1775 before returning in 1775, to Königsberg to work as a
Deacon A deacon is a member of the diaconate, an office in Christian churches that is generally associated with service of some kind, but which varies among theological and denominational traditions. Major Christian denominations, such as the Cathol ...
at the Altroßgarten church. On 6 July 1775 he received his
magister degree A magister degree (also magistar, female form: magistra; from , "teacher") is an academic degree used in various systems of higher education. The magister degree arose in medieval universities in Europe and was originally equal to the doctorate; ...
and on 2 August 1775, he took his examination for promotion of
habilitation Habilitation is the highest university degree, or the procedure by which it is achieved, in Germany, France, Italy, Poland and some other European and non-English-speaking countries. The candidate fulfills a university's set criteria of excelle ...
with a
disputation Disputation is a genre of literature involving two contenders who seek to establish a resolution to a problem or establish the superiority of something. An example of the latter is in Sumerian disputation poems. In the scholastic system of e ...
on
acoustics Acoustics is a branch of physics that deals with the study of mechanical waves in gases, liquids, and solids including topics such as vibration, sound, ultrasound and infrasound. A scientist who works in the field of acoustics is an acoustician ...
. He worked as a lecturer over the winter of 1775 and 1776. In 1777, he was made ''Hofprediger'' at Königsberg castle church. Schultz's appointment as professor of mathematics to the government on 11 August 1786 was recommended by the Königsberg senate, at the same time that Kant was serving as rector at Königsberg. As a professor of mathematics, he had a duty to provide lectures, which he did in
arithmetic Arithmetic is an elementary branch of mathematics that deals with numerical operations like addition, subtraction, multiplication, and division. In a wider sense, it also includes exponentiation, extraction of roots, and taking logarithms. ...
and
geometry Geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician w ...
in the summer, and
trigonometry Trigonometry () is a branch of mathematics concerned with relationships between angles and side lengths of triangles. In particular, the trigonometric functions relate the angles of a right triangle with ratios of its side lengths. The fiel ...
and
astronomy Astronomy is a natural science that studies celestial objects and the phenomena that occur in the cosmos. It uses mathematics, physics, and chemistry in order to explain their origin and their overall evolution. Objects of interest includ ...
in the winter. Apart from a lecture series in
metaphysics Metaphysics is the branch of philosophy that examines the basic structure of reality. It is traditionally seen as the study of mind-independent features of the world, but some theorists view it as an inquiry into the conceptual framework of ...
during the first half of his second year, and
pedagogy Pedagogy (), most commonly understood as the approach to teaching, is the theory and practice of learning, and how this process influences, and is influenced by, the social, political, and psychological development of learners. Pedagogy, taken ...
that each professor took turns offering, Schultz offered mathematics lectures, focusing on pure and
applied mathematics Applied mathematics is the application of mathematics, mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and Industrial sector, industry. Thus, applied mathematics is a ...
:
Arithmetic Arithmetic is an elementary branch of mathematics that deals with numerical operations like addition, subtraction, multiplication, and division. In a wider sense, it also includes exponentiation, extraction of roots, and taking logarithms. ...
,
Geometry Geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician w ...
,
Trigonometry Trigonometry () is a branch of mathematics concerned with relationships between angles and side lengths of triangles. In particular, the trigonometric functions relate the angles of a right triangle with ratios of its side lengths. The fiel ...
,
Algebra Algebra is a branch of mathematics that deals with abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic ope ...
, finite and infinite analysis,
Astronomy Astronomy is a natural science that studies celestial objects and the phenomena that occur in the cosmos. It uses mathematics, physics, and chemistry in order to explain their origin and their overall evolution. Objects of interest includ ...
,
Mechanics Mechanics () is the area of physics concerned with the relationships between force, matter, and motion among Physical object, physical objects. Forces applied to objects may result in Displacement (vector), displacements, which are changes of ...
and
Optics Optics is the branch of physics that studies the behaviour and properties of light, including its interactions with matter and the construction of optical instruments, instruments that use or Photodetector, detect it. Optics usually describes t ...
. Schultz used Christian Wolff's '' Treatise of Algebra'' and
Leonhard 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 ...
''
Elements of Algebra ''Elements of Algebra'' is an elementary mathematics textbook written by mathematician Leonhard Euler around 1765 in German. It was first published in Russian as "''Universal Arithmetic''" (''Универсальная арифметика''), ...
'' (French: ''Élémens ďalgebre'') and his own text for arithmetic, geometry and trigonometry. Schultz first met the philosopher
Johann Gottlieb Fichte Johann Gottlieb Fichte (; ; 19 May 1762 – 29 January 1814) was a German philosopher who became a founding figure of the philosophical movement known as German idealism, which developed from the theoretical and ethical writings of Immanuel Ka ...
between July and October 1791 when Schultz helped Fichte acquire a teaching position close to Danzig. Fichte described Schultz in correspondence as: :''He has an angular
Prussian Prussia (; ; Old Prussian: ''Prūsija'') was a German state centred on the North European Plain that originated from the 1525 secularization of the Prussian part of the State of the Teutonic Order. For centuries, the House of Hohenzoll ...
face, but honesty and kindness shine forth from it'' They continued to write to each other to discuss ideas, even when Fichte left Danzig. The relationship between Schultz and Fichte was more convoluted than it would otherwise be, as Johanna Eleonore, ''née'' Büttner (1751–1795), Schultz's wife, was romantically linked to Fichte. Fichte left Königsberg sooner than he initially planned. Schultz became friends with Kant late in life.


Literature

Schultz published poetry in his early life, and several
Latin Latin ( or ) is a classical language belonging to the Italic languages, Italic branch of the Indo-European languages. Latin was originally spoken by the Latins (Italic tribe), Latins in Latium (now known as Lazio), the lower Tiber area aroun ...
texts on theology in 1787 and 1791. However, most of his literature was concerned with creation of mathematical texts, including the explanation of
Immanuel Kant Immanuel Kant (born Emanuel Kant; 22 April 1724 – 12 February 1804) was a German Philosophy, philosopher and one of the central Age of Enlightenment, Enlightenment thinkers. Born in Königsberg, Kant's comprehensive and systematic works ...
's new critical system (
critical philosophy Critical philosophy () is a movement inaugurated by Immanuel Kant (1724–1804). It is dedicated to the self-examination of reason with the aim of exposing its inherent limitations, that is, to defining the possibilities of knowledge as a prere ...
,
transcendental idealism Transcendental idealism is a philosophical system founded by German philosopher Immanuel Kant in the 18th century. Kant's epistemological program is found throughout his '' Critique of Pure Reason'' (1781). By ''transcendental'' (a term that des ...
). Schultz wrote and successfully published several mathematical texts including ''Foundation of Pure Mathematics'' in 1790, a ''Brief System of Mathematics'' first published in 1797 with new editions in 1805 and 1806. However most of his interest was in the work concerning the Parallel Lines Postulate with papers published in 1780, 1784 and 1786. In 1788 he wrote ''Attempt at a precise theory of the infinite'' (German: Versuch einer genauen Theorie des Unendlichen) which was an entrant for the 1786 Berlin Academy prize essay question asking for a: :''clear and precise theory of mathematical infinity'' Although Schultz was unsuccessful in this entry, the essay preceded certain features of
Georg Cantor Georg Ferdinand Ludwig Philipp Cantor ( ; ;  – 6 January 1918) was a mathematician who played a pivotal role in the creation of set theory, which has become a foundations of mathematics, fundamental theory in mathematics. Cantor establi ...
's theory of
transfinite number In mathematics, transfinite numbers or infinite numbers are numbers that are " infinite" in the sense that they are larger than all finite numbers. These include the transfinite cardinals, which are cardinal numbers used to quantify the size of i ...
s. The work, although similar to work undertaken by the mathematicians
Wenceslaus Johann Gustav Karsten Wenceslaus Johann Gustav Karsten (15 December 1732 – 17 April 1787) was a German mathematician. In 1768, Karsten published a graphic representation of infinitely many logarithms of real and complex numbers. He was a professor of Mathematics at t ...
,
Georg Simon Klügel Georg Simon Klügel (August 19, 1739 – August 4, 1812) was a German mathematician and physicist. He was born in Hamburg, and in 1760 went to the University of Göttingen where he initially studied theology before switching to mathematics. ...
, and
Johann Heinrich Lambert Johann Heinrich Lambert (; ; 26 or 28 August 1728 – 25 September 1777) was a polymath from the Republic of Mulhouse, at that time allied to the Switzerland, Swiss Confederacy, who made important contributions to the subjects of mathematics, phys ...
, would eventually result in the development of
non-Euclidean geometry In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those that specify Euclidean geometry. As Euclidean geometry lies at the intersection of metric geometry and affine geometry, non-Euclidean ge ...
.


Bibliography

* (anon.), Review of Kant's Inaugural Dissertation, in the ''Königsbergsche Gelehrte und Politische Zeitungen'' (22–25 November 1771). Reprinted in Reinhard Brandt (op cit.), pp. 59–66. Transl. by James C. Morrison (op cit.), pp. 163–70. * ''Vorläufige Anzeige des entdeckten Beweises für die Theorie der Parallellinen'' (Königsberg, 1780). 2nd ed.: 1786. * ''Entdeckte Theorie der Parallelen, nebst einer Untersuchung über den Ursprung ihrer bisherigen Schwierigkeit'' (Königsberg: D. C. Kanter, 1784). * ''Erläuterungen über des Herrn Professor Kant Critik der reinen Vernunft'' (Königsberg: C. G. Dengel, 1784). 2nd ed.: 1791. Transl. by James C. Morrison (op cit.), pp. 3–141. * (anon.), Review of J. A. H. Ulrich, ''Institutiones logicae et metaphysicae scholae suae scripsit'' (Jena: Cröker, 1785), in Allgemeine Literatur-Zeitung (13 December 1785), pp. 247–49. Translated into English in Brigitte Sassen, tr. and ed., ''Kant’s Early Critics'' (Cambridge: Cambridge University Press, 2000), pp. 210–14. * ''Darstellung der vollkommenen Evidenz und Schärfe seiner Theorie der Parallelen'' (Königsberg: G. C. Hartung, 1786). * ''Prüfung der Kantischen Critik der reinen Vernunft'', 2 vols. (Königsberg: Hartung, 1789; Nicolovius 1792). Reprinted in ''Aetas Kantiana'', 1968.


Other publications

* Reflections on the Empty space. ''Betrachtungen über den leeren Raum''. Königsberg, 1758 * ''De geometria acustica seu solius auditus ope exercenda''. Königsberg, 1775 * ''De geometria acustica nec non de ratione 0:0 seu basi calculi differentialis''. Königsberg, 1787 * ''Elementa theologiae popularis theoreticae''. 1787 * Attempt at a precise theory of the infinite. ''Versuch einer genauen Theorie des Unendlichen''. Königsberg, 1788 * Rudements of Pure Mathematics. ''Anfangsgründe der reinen Mathesis''. Königsberg. 1790 * Elements of Practical Theology. ''Elementa theologiae practicae''. 1791 * Defense of critical letters to Mr Emanuel Kant through his critique of pure reason, primarily against the Bornischen attacks. ''Vertheidigung der kritischen Briefe an Herrn Emanuel Kant über seine Kritik der reinen Vernunft, vornehmlich gegen die Bornischen Angriffe''. Göttingen, 1792 * A Brief Concept of Mathematics. ''Kurzer Lehrbegriff der Mathematik. Königsberg'', 1797, 1805, 1806 # ''Bd. Kurzer Lehrbegriff der Arithmetik, Geometrie, Trigonometrie und Landmesskunst''. # ''Bd. Kurzer Lehrbegriff der mechanischen und optischen Wissenschaften''. # Popular Foundations of Astronomy. ''Bd. Populäre Anfangsgründe der Astronomie''. * Very light and short development of some of the most important mathematical theories. ''Sehr leichte und Kurze Entwickelung einiger der wichtigsten mathematischen Theorien''. Königsberg, 1803 * Foundations of pure mechanics, which are the foundations of pure natural science. ''Anfangsgründe der reinen Mechanik, die zugleich die Anfangsgründe der reinen Naturwissenschaft sind''. Königsberg, 1804


References

{{DEFAULTSORT:Schultz, Johann Friedrich 1739 births 1805 deaths People from Bagrationovsky District People from East Prussia 18th-century German mathematicians 19th-century German mathematicians 18th-century German Protestant theologians 19th-century German Protestant theologians 18th-century German philosophers 19th-century German philosophers Enlightenment philosophers 18th-century German writers 18th-century German male writers 19th-century German writers 19th-century German male writers Academic staff of the University of Königsberg