Johann Friedrich Schultz
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Johann Friedrich Schultz, also known as Johann Schultz (11 June 1739,
Mühlhausen Mühlhausen () is a city in the north-west of Thuringia, Germany, north of Niederdorla, the country's geographical centre, north-west of Erfurt, east of Kassel and south-east of Göttingen. Mühlhausen was first mentioned in 967 and bec ...
– 27 June 1805,
Königsberg Königsberg (, ) was the historic Prussian city that is now Kaliningrad, Russia. Königsberg was founded in 1255 on the site of the ancient Old Prussian settlement ''Twangste'' by the Teutonic Knights during the Northern Crusades, and was named ...
), 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 Christian denomination, branch of Christianity that follows the theological tenets of the Reformation, Protestant Reformation, a movement that began seeking to reform the Catholic Church from within in the 16th century agai ...
theologian Theology is the systematic study of the nature of the divine and, more broadly, of religious belief. It is taught as an academic discipline, typically in universities and seminaries. It occupies itself with the unique content of analyzing the ...
,
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, structure, space, models, and change. History On ...
and
philosopher A philosopher is a person who practices or investigates philosophy. The term ''philosopher'' comes from the grc, φιλόσοφος, , translit=philosophos, meaning 'lover of wisdom'. The coining of the term has been attributed to the Greek th ...
. He is best known as a close personal friend and trusted expositor (a person who explains complicated ideas) of
Immanuel Kant Immanuel Kant (, , ; 22 April 1724 – 12 February 1804) was a German philosopher and one of the central Enlightenment thinkers. Born in Königsberg, Kant's comprehensive and systematic works in epistemology, metaphysics, ethics, and ...
. Johann Schultz was a ''Hofprediger'' (second court
chaplain A chaplain is, traditionally, a cleric (such as a Minister (Christianity), minister, priest, pastor, rabbi, purohit, or imam), or a laity, lay representative of a religious tradition, attached to a secularity, secular institution (such as a hosp ...
) and Professor of Mathematics at the
University of Königsberg The University of Königsberg (german: Albertus-Universität Königsberg) was the university of Königsberg in East Prussia. It was founded in 1544 as the world's second Protestant academy (after the University of Marburg) by Duke Albert of Prussi ...
.


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 in Königsberg, Prussia. Alumni were known as ''Friderizianer''.Gause, p. 716 History Postcard ca. 1930 ...
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 TUTOR, also known as PLATO Author Language, is a programming language developed for use on the PLATO system at the University of Illinois at Urbana-Champaign beginning in roughly 1965. TUTOR was initially designed by Paul Tenczar for use in co ...
within Königsberg before undertaking employment as a
pastor A pastor (abbreviated as "Pr" or "Ptr" , or "Ps" ) is the leader of a Christian congregation who also gives advice and counsel to people from the community or congregation. In Lutheranism, Catholicism, Eastern Orthodoxy, Oriental Orthodoxy and ...
in Starkenberg 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 churches, such as the Catholic Churc ...
at the Altroßgarten church. On 6 July 1775 he received his
magister degree A magister degree (also magistar, female form: magistra; from la, magister, "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 ...
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 many European countries. The candidate fulfills a university's set criteria of excellence in research, teaching and further education, usually including a ...
with a
disputation In the scholastic system of education of the Middle Ages, disputations (in Latin: ''disputationes'', singular: ''disputatio'') offered a formalized method of debate designed to uncover and establish truths in theology and in sciences. Fixed ru ...
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 Rector (Latin for the member of a vessel's crew who steers) may refer to: Style or title *Rector (ecclesiastical), a cleric who functions as an administrative leader in some Christian denominations *Rector (academia), a senior official in an edu ...
at Königsberg. As a Professor of mathematics, he had a duty to provide lectures, which he did in
arithmetic Arithmetic () is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers— addition, subtraction, multiplication, division, exponentiation, and extraction of roots. In the 19th ...
and
geometry Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is c ...
in the summer, and
trigonometry Trigonometry () is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. T ...
and
astronomy Astronomy () is a natural science that studies astronomical object, celestial objects and phenomena. It uses mathematics, physics, and chemistry in order to explain their origin and chronology of the Universe, evolution. Objects of interest ...
in the winter. Apart from a lecture series in
metaphysics Metaphysics is the branch of philosophy that studies the fundamental nature of reality, the first principles of being, identity and change, space and time, causality, necessity, and possibility. It includes questions about the nature of conscio ...
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 as ...
that each professor took turns offering, Schultz offered mathematics lectures, focusing on
pure Pure may refer to: Computing * A pure function * A pure virtual function * PureSystems, a family of computer systems introduced by IBM in 2012 * Pure Software, a company founded in 1991 by Reed Hastings to support the Purify tool * Pure-FTPd, F ...
and
applied mathematics Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry. Thus, applied mathematics is a combination of mathematical s ...
:
Arithmetic Arithmetic () is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers— addition, subtraction, multiplication, division, exponentiation, and extraction of roots. In the 19th ...
,
Geometry Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is c ...
,
Trigonometry Trigonometry () is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. T ...
,
Algebra Algebra () is one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathematics. Elementary a ...
, finite and infinite analysis,
Astronomy Astronomy () is a natural science that studies astronomical object, celestial objects and phenomena. It uses mathematics, physics, and chemistry in order to explain their origin and chronology of the Universe, evolution. Objects of interest ...
,
Mechanics Mechanics (from Ancient Greek: μηχανική, ''mēkhanikḗ'', "of machines") is the area of mathematics and physics concerned with the relationships between force, matter, and motion among physical objects. Forces applied to objects r ...
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 instruments that use or detect it. Optics usually describes the behaviour of visible, ultraviole ...
. Schultz used Christian Wolff's '' Treatise of Algebra'' and
Leonhard Euler Leonhard Euler ( , ; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, geographer, logician and engineer who founded the studies of graph theory and topology and made pioneering and influential discoveries in ma ...
''
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''), tw ...
'' (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 Kan ...
between July to 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: ''Prūsa'' or ''Prūsija'' was a German state on the southeast coast of the Baltic Sea. It formed the German Empire under Prussian rule when it united the German states in 1871. It was ''de facto'' dissolved by an e ...
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 branch of the Indo-European languages. Latin was originally a dialect spoken in the lower Tiber area (then known as Latium) around present-day Rome, but through the power of the ...
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 (, , ; 22 April 1724 – 12 February 1804) was a German philosopher and one of the central Enlightenment thinkers. Born in Königsberg, Kant's comprehensive and systematic works in epistemology, metaphysics, ethics, and ...
's new critical system (
critical philosophy The critical philosophy (german: kritische Philosophie) movement, attributed to Immanuel Kant (1724–1804), sees the primary task of philosophy as criticism rather than justification of knowledge. Criticism, for Kant, meant judging as to the ...
,
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 ( , ;  – January 6, 1918) was a German mathematician. He played a pivotal role in the creation of set theory, which has become a fundamental theory in mathematics. Cantor established the importance of ...
's theory of
transfinite number In mathematics, transfinite numbers are numbers that are "infinite" in the sense that they are larger than all finite numbers, yet not necessarily absolutely infinite. These include the transfinite cardinals, which are cardinal numbers used to qua ...
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 (, ''Jean-Henri Lambert'' in French; 26 or 28 August 1728 – 25 September 1777) was a polymath from the Republic of Mulhouse, generally referred to as either Swiss or French, who made important contributions to the subjec ...
, 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 geo ...
.


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 Kaliningrad Oblast People from East Prussia 18th-century German mathematicians 19th-century German mathematicians 18th-century German Christian theologians 19th-century German Christian theologians German philosophers 18th-century philosophers 19th-century philosophers Academic staff of the University of Königsberg Enlightenment philosophers 18th-century German writers 18th-century German male writers 19th-century German writers 19th-century German male writers