Branislav "Brana" Petronijević (sometimes styled as Petronievics) (
Serbian Cyrillic
The Serbian Cyrillic alphabet (, ), also known as the Serbian script, (, ), is a standardized variation of the Cyrillic script used to write the Serbian language. It originated in medieval Serbia and was significantly reformed in the 19th cen ...
: Бранислав "Брана" Петронијевић; 6 April 1875 – 4 March 1954) was a
Serbia
, image_flag = Flag of Serbia.svg
, national_motto =
, image_coat = Coat of arms of Serbia.svg
, national_anthem = ()
, image_map =
, map_caption = Location of Serbia (gree ...
n
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 ...
and
paleontologist
Paleontology, also spelled as palaeontology or palæontology, is the scientific study of the life of the past, mainly but not exclusively through the study of fossils. Paleontologists use fossils as a means to classify organisms, measure geolo ...
.
His major work is the two-volume ''Prinzipien der Metaphysik'' (''Principles of Metaphysics'',
Heidelberg
Heidelberg (; ; ) is the List of cities in Baden-Württemberg by population, fifth-largest city in the States of Germany, German state of Baden-Württemberg, and with a population of about 163,000, of which roughly a quarter consists of studen ...
, 1904–1911), in which he outlines his original metaphysical system – a synthesis of
Baruch Spinoza's monism
Monism attributes oneness or singleness () to a concept, such as to existence. Various kinds of monism can be distinguished:
* Priority monism states that all existing things go back to a source that is distinct from them; e.g., in Neoplatonis ...
and
Gottfried Leibniz's monadological pluralism into what he called "monopluralism". Influenced by
George Berkeley
George Berkeley ( ; 12 March 168514 January 1753), known as Bishop Berkeley (Bishop of Cloyne of the Anglican Church of Ireland), was an Anglo-Irish philosopher, writer, and clergyman who is regarded as the founder of "immaterialism", a philos ...
and
G.W.F. Hegel, Petronijević held that our immediate experience is the source of basic logical and metaphysical axioms – what he called "empirio-rationalist" epistemology.
In the field of palaeontology, Petronijević was the first to distinguish between the
genera
Genus (; : genera ) is a taxonomic rank above species and below family as used in the biological classification of living and fossil organisms as well as viruses. In binomial nomenclature, the genus name forms the first part of the binomial s ...
''
Archaeopteryx
''Archaeopteryx'' (; ), sometimes referred to by its German name, "" ( ''Primeval Bird'') is a genus of bird-like dinosaurs. The name derives from the ancient Greek (''archaîos''), meaning "ancient", and (''ptéryx''), meaning "feather" ...
'' and ''Archaeornis''.
However, most of his
taxonomic interpretations were later abandoned.
[Tischlinger, H. & D. M. Unwin 2004. UV-Untersuchungen des Berliner Exemplares von ''Archaeopteryx lithographica'' H. v. Meyer 1861 und der isolierten ''Archaeopteryx''-Feder. Archaeopteryx 22: 17-50; Eichstätt.] He also discovered new characteristics of the genera ''
Tritylodon'' and ''
Moeritherium''.
Biography
Early life
Branislav Petronijević was born in the small village of
Sovljak, near
Ub, Serbia
Ub ( sr-cyr, Уб) is a town and municipality located in the Kolubara District of western Serbia. As of 2022, the population of the town is 6,684, while population of the municipality is 25,780 inhabitants.
History
The first communities establish ...
, on 6 April (25 March,
O.S.) 1875, the son of a Marko Jeremić, a
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 ...
. The last name Petronijević stems from Branislav's grandfather, Petronije Jeremić, a local priest. His father changed Branislav's last name to reduce pressure at school, as the Jeremić family were prominent supporters of the exiled
Karađorđević dynasty.
He studied at the
Valjevo Gymnasium and the
Grande école
A (; ) is a specialized top-level educational institution in France and some other countries such as Morocco and Tunisia. are part of an alternative educational system that operates alongside the mainstream List of public universities in Franc ...
in
Belgrade
Belgrade is the Capital city, capital and List of cities in Serbia, largest city of Serbia. It is located at the confluence of the Sava and Danube rivers and at the crossroads of the Pannonian Basin, Pannonian Plain and the Balkan Peninsula. T ...
(the Belgrade Higher School).
Education and early work
In 1894, Petronijević went to
Vienna
Vienna ( ; ; ) is the capital city, capital, List of largest cities in Austria, most populous city, and one of Federal states of Austria, nine federal states of Austria. It is Austria's primate city, with just over two million inhabitants. ...
to pursue a degree in medicine, on a scholarship awarded by the Tamnava
srez. Petronijević joined the Philosophical Society of the
University of Vienna
The University of Vienna (, ) is a public university, public research university in Vienna, Austria. Founded by Rudolf IV, Duke of Austria, Duke Rudolph IV in 1365, it is the oldest university in the German-speaking world and among the largest ...
and studied under
Ludwig Boltzmann
Ludwig Eduard Boltzmann ( ; ; 20 February 1844 – 5 September 1906) was an Austrian mathematician and Theoretical physics, theoretical physicist. His greatest achievements were the development of statistical mechanics and the statistical ex ...
. After three semesters in Vienna he enrolled at the
University of Leipzig
Leipzig University (), in Leipzig in Saxony, Germany, is one of the world's oldest universities and the second-oldest university (by consecutive years of existence) in Germany. The university was founded on 2 December 1409 by Frederick I, Electo ...
, where he studied philosophy under
Johannes Volkelt
Johannes Immanuel Volkelt (21 July 1848, Lipnik near Biala, Austrian Galicia – 8 May 1930, Leipzig) was a German philosopher.
Biography
He was educated at Vienna, Jena, and Leipzig. He became professor of philosophy at Basel in 1883 and at W ...
,
Wilhelm Ostwald
Wilhelm Friedrich Ostwald (; – 4 April 1932) was a Latvian chemist and philosopher. Ostwald is credited with being one of the founders of the field of physical chemistry, with Jacobus Henricus van 't Hoff, Walther Nernst and Svante Arrhenius. ...
, and
Ernst Mach
Ernst Waldfried Josef Wenzel Mach ( ; ; 18 February 1838 – 19 February 1916) was an Austrian physicist and philosopher, who contributed to the understanding of the physics of shock waves. The ratio of the speed of a flow or object to that of ...
. There, he wrote ''Der ontologische Beweis für das Dasein des Absoluten'' (''The Ontological Proof for the Existence of the Absolute'') in 1897, and successfully defended his thesis ''Der Satz vom Grunde'' (''The Principle of Reason'') in 1898. Having studied during this time under
Wilhelm Wundt
Wilhelm Maximilian Wundt (; ; 16 August 1832 – 31 August 1920) was a German physiologist, philosopher, and professor, one of the fathers of modern psychology. Wundt, who distinguished psychology as a science from philosophy and biology, was t ...
, Petronijević later published several works in
experimental psychology
Experimental psychology is the work done by those who apply Experiment, experimental methods to psychological study and the underlying processes. Experimental psychologists employ Research participant, human participants and Animal testing, anim ...
on the observation of the transparent and on the depth and observation of compound colours. In Leipzig, Petronijević received financial help from former bishop
Nikanor Ružičić, with whom he practiced the
German language
German (, ) is a West Germanic language in the Indo-European language family, mainly spoken in Western Europe, Western and Central Europe. It is the majority and Official language, official (or co-official) language in Germany, Austria, Switze ...
.
In 1898 he was given the title of
docent
The term "docent" is derived from the Latin word , which is the third-person plural present active indicative of ('to teach, to lecture'). Becoming a docent is often referred to as habilitation or doctor of science and is an academic qualifi ...
at the Belgrade Higher School at the request of professor
Ljubomir Nedić.
He taught the German language and philosophical
propaedeutics at the
Third Belgrade Gymnasium. Petronijević was promoted to the post of
associate professor
Associate professor is an academic title with two principal meanings: in the North American system and that of the ''Commonwealth system''.
In the ''North American system'', used in the United States and many other countries, it is a position ...
in 1899, and then
full professor
Professor (commonly abbreviated as Prof.) is an academic rank at universities and other post-secondary education and research institutions in most countries. Literally, ''professor'' derives from Latin as a 'person who professes'. Professors ...
in 1903. Three years later when the school developed into the
University of Belgrade
The University of Belgrade () is a public university, public research university in Belgrade, Serbia. It is the oldest and largest modern university in Serbia.
Founded in 1808 as the Belgrade Higher School in revolutionary Serbia, by 1838 it me ...
, Petronijević was demoted back to associate professor. He was simultaneously elected correspondent member of the
Serbian Royal Academy on 3 February 1906. Petronijević found this humiliating, and declined the post, his decision coming into effect in 1910. During this time, Petronijević also taught
art theory
Aesthetics (also spelled esthetics) is the branch of philosophy concerned with the nature of beauty and taste, which in a broad sense incorporates the philosophy of art.Slater, B. H.Aesthetics ''Internet Encyclopedia of Philosophy,'' , acces ...
at
Rista and
Beta Vukanović's Serbian Art School in Belgrade.
It was during this period that he thought out and developed what is distinctive in his philosophical doctrine. His two major works in metaphysics, ''Prinzipen der Metaphysik'' (''Principles of Metaphysics'') and ''Die typischen Geometrien und das Unendliche'' (''The Typical Geometries and the Infinite''), were published during this period.
World War I
At the outbreak of
World War I
World War I or the First World War (28 July 1914 – 11 November 1918), also known as the Great War, was a World war, global conflict between two coalitions: the Allies of World War I, Allies (or Entente) and the Central Powers. Fighting to ...
he turned to journalism, becoming a war correspondent for the Serbian War Office Press Bureau, induced by
Dragutin Dimitrijević "Apis", his childhood friend. In 1915 he joined the
Serbian army's retreat through Albania. After reaching Greece, he was sent first to
Rome
Rome (Italian language, Italian and , ) is the capital city and most populated (municipality) of Italy. It is also the administrative centre of the Lazio Regions of Italy, region and of the Metropolitan City of Rome. A special named with 2, ...
where he stayed for four months. After Rome, Petronijević spent several months in
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 ...
, where he taught two courses at the
Sorbonne, on universal evolution and on the value of life.
Finally, he spent the longest part of the war in
London
London is the Capital city, capital and List of urban areas in the United Kingdom, largest city of both England and the United Kingdom, with a population of in . London metropolitan area, Its wider metropolitan area is the largest in Wester ...
with the Serbian Legation, along with politician
Nikola Pašić
Nikola Pašić ( sr-Cyrl, Никола Пашић, ; 18 December 1845 – 10 December 1926) was a Serbian and Yugoslav politician and diplomat. During his political career, which spanned almost five decades, he served five times as prime minis ...
, geographer
Jovan Cvijić
Jovan Cvijić ( sr-Cyrl, Јован Цвијић, ; 1865 – 16 January 1927) was a Serbs, Serbian geographer, Ethnology, ethnologist, university professor and academic.
He was the president of the Serbian Academy of Sciences and Arts, S ...
, professors
Bogdan Popović and his brother
Pavle Popović. There, Petronijević worked on an English translation of ''Theoria Philosophiæ Naturalis'' (''A Theory of Natural Philosophy'') by
Roger Joseph Boscovich
Roger Joseph Boscovich (, ; ; ; 18 May 1711 – 13 February 1787) was a Croatian physicist, astronomer, mathematician, philosopher, diplomat, poet, theologian, Jesuit priest, and a polymath from the Republic of Ragusa.[Čedomilj Mijatović
Count Čedomilj Mijatović ( sr-Cyrl, Чедомиљ Мијатовић; 17 October 1842 – May 14, 1932) was a Serbian statesman, economist, historian, writer and diplomat.
Mijatović served as the Ministry of Finance (Serbia), Minister of Fi ...]
and
Nikolaj Velimirović. The 1763 Venetian edition of the book was translated by James Mark Child, and finally published in 1922 by the
Open Court Publishing Company
The Open Court Publishing Company is a publisher with offices in Chicago and LaSalle, Illinois. It is part of the Carus Publishing Company of Peru, Illinois.
History
Open Court was founded in 1887 by Edward C. Hegeler of the Matthiessen-Hege ...
, funded in part by the newly created
Kingdom of Serbs, Croats and Slovenes
The Kingdom of Yugoslavia was a country in Southeast and Central Europe that existed from 1918 until 1941. From 1918 to 1929, it was officially called the Kingdom of Serbs, Croats, and Slovenes, but the term "Yugoslavia" () has been its colloq ...
. Petronijević wrote the preface, titled ''Life of Roger Joseph Boscovich''. Parts of it were severely criticized by
Vladimir Varićak in 1925 for various factual errors, among other things for asserting Boscovich's exclusively Serbian ethnicity, and listing his birth date inaccurately.
While in London, Petronijević met with
Bertrand Russell
Bertrand Arthur William Russell, 3rd Earl Russell, (18 May 1872 – 2 February 1970) was a British philosopher, logician, mathematician, and public intellectual. He had influence on mathematics, logic, set theory, and various areas of analytic ...
, who wrote:
Later life
After the war he left London and went back to his teaching post at the University of Belgrade, where he was appointed again appointed full professor in 1919. On 16 February 1920, he was elected into the Serbian Royal Academy.
From 1918 to 1922, Petronijević notably mentored
Ksenija Atanasijević, later a prominent Serbian female intellectual and early Serbian
feminist
Feminism is a range of socio-political movements and ideology, ideologies that aim to define and establish the political, economic, personal, and social gender equality, equality of the sexes. Feminism holds the position that modern soci ...
writer.
During the
Interbellum
In the history of the 20th century, the interwar period, also known as the interbellum (), lasted from 11 November 1918 to 1 September 1939 (20 years, 9 months, 21 days) – from the end of World War I (WWI) to the beginning of World War II ( ...
, Petronijević was an active participant in European philosophy, and considered himself a worthy philosopher who transcended his "parochial" limitations. He deemed himself one of the 15 "great philosophers" of history, along with
Aristotle
Aristotle (; 384–322 BC) was an Ancient Greek philosophy, Ancient Greek philosopher and polymath. His writings cover a broad range of subjects spanning the natural sciences, philosophy, linguistics, economics, politics, psychology, a ...
,
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 many ...
and
Hegel
Georg Wilhelm Friedrich Hegel (27 August 1770 – 14 November 1831) was a 19th-century German idealism, German idealist. His influence extends across a wide range of topics from metaphysical issues in epistemology and ontology, to political phi ...
. Beside "great philosophers", Petronijević mentions "significant philosophers" and "philosophic writers".
Petronijević retired from the university in 1927. He served as secretary of the Serbian Royal Academy from February 1932 to February 1933 and founded the Serbian Philosophical Society in 1938, together with
Vladimir Dvorniković,
Justin Popović and others. The third volume of his ''Principles of Metaphysics'' was destroyed in an air raid in April 1941. He held lectures at the German Scientific Institute during the
occupation of Yugoslavia. After the war, he traveled to France several times and started writing poetry.
Petronijević was nominated for the
Nobel Prize in Literature
The Nobel Prize in Literature, here meaning ''for'' Literature (), is a Swedish literature prize that is awarded annually, since 1901, to an author from any country who has, in the words of the will of Swedish industrialist Alfred Nobel, "in ...
in 1941 and 1947.
Petronijević died in a Belgrade's Hotel Balkan on 4 March 1954. He was 78. He never married.
Writings
Philosophy
Petronijević considered himself a "born metaphysician" and devoted himself to constructing his own metaphysical system. Although original, his system grew out of the nineteenth-century empirical metaphysics of
Hermann Lotze
Rudolf Hermann Lotze (; ; 21 May 1817 – 1 July 1881) was a German philosopher and logician. He also had a medical degree and was well versed in biology. He argued that if the physical world is governed by mechanical laws and relations, then de ...
,
Eduard von Hartmann and Petronijević's teacher,
Johannes Volkelt
Johannes Immanuel Volkelt (21 July 1848, Lipnik near Biala, Austrian Galicia – 8 May 1930, Leipzig) was a German philosopher.
Biography
He was educated at Vienna, Jena, and Leipzig. He became professor of philosophy at Basel in 1883 and at W ...
.
The motto of Petronijević's principal work ''Prinzipien der Metaphysik'' (''Principles of Metaphysics'', 1904), reads: "''Exact mathematical notions are a key to the solution of the world's enigma''". In it, he constructed a new geometry in which time and space are discrete, not continuous. Petronijević argued that being consists of simple, discrete qualitative points which are mutually related in various ways to form a unity. He outlined two types of these simple points – real "central points" (''Mittelpunkte'') and unreal "intermediate points" (''Zwischenpunkte''). The world as a manifold is possible only because each pair of real points of being is separated by an unreal point constituting an "act of negation", without which being would be absolutely homogeneous.
Petronijević regarded the principle of negation as "the absolute principle of the world". His metaphysical system was thus conceived as a synthesis of
Baruch Spinoza's monism
Monism attributes oneness or singleness () to a concept, such as to existence. Various kinds of monism can be distinguished:
* Priority monism states that all existing things go back to a source that is distinct from them; e.g., in Neoplatonis ...
and
Gottfried Leibniz's monadological pluralism into what he called "monopluralism".
He claimed that the basic task of metaphysics was to explain the structure of the "world of multitude, diversity, and change" as the "pre-evidence" of the directly given empirical and transcendental reality. Petronijević's view was essentially idealistic, since he held that absolutely unconscious atoms are impossible and that the immortal soul is a conscious
monad
Monad may refer to:
Philosophy
* Monad (philosophy), a term meaning "unit"
**Monism, the concept of "one essence" in the metaphysical and theological theory
** Monad (Gnosticism), the most primal aspect of God in Gnosticism
* ''Great Monad'', an ...
. He argued that the universe was evolving from a condition of instability towards one of absolute stability, in which there would be equilibrium in the relation between particular elements or monads and the universal substance which underlies them. This last is the subject of a special division of philosophy, beyond metaphysics, which Petronijević called "hypermetaphysics".
His original "empirio-rationalist" epistemology was based on a rather complex derivation of logical laws from
immediate experience. For Petronijević, our immediate experience not only presents reality as is, but is also the source of basic logical and metaphysical axioms – all are derived from the data of immediate experience.
Petronijević rejected
Immanuel Kant’s phenomenalism
In metaphysics, phenomenalism is the view that physical objects cannot justifiably be said to exist as " things-in-themselves", but only as perceptual phenomena or sensory stimuli (e.g. redness, hardness, softness, sweetness, etc.) situated in t ...
and denied the distinction between the
phenomenal
A phenomenon ( phenomena), sometimes spelled phaenomenon, is an observable event. The term came into its modern philosophical usage through Immanuel Kant, who contrasted it with the noumenon, which ''cannot'' be directly observed. Kant was he ...
and
noumenal
In philosophy, a noumenon (, ; from ; : noumena) is knowledge posited as an object that exists independently of human sense. The term ''noumenon'' is generally used in contrast with, or in relation to, the term ''phenomenon'', which refers to a ...
. He held that the all contents of the mind are real and thus denied the existence of pure representation, claiming that all representations are in fact real. For Petronijević, thought and being are identical, and
apodictic knowledge of being itself is possible. He considered the
principle of sufficient reason
The principle of sufficient reason states that everything must have a Reason (argument), reason or a cause. The principle was articulated and made prominent by Gottfried Wilhelm Leibniz, with many antecedents, and was further used and developed by ...
the fundamental law of true knowledge.
Petronijević upheld an ethical theory of transcendental optimism and
free will
Free will is generally understood as the capacity or ability of people to (a) choice, choose between different possible courses of Action (philosophy), action, (b) exercise control over their actions in a way that is necessary for moral respon ...
. He argued that "it is not possible to live with the belief that there is no free will". Since Petronijević's epistemology does not allow for the existence of an absolute illusion, the subjective experience of free will implies its existence in reality.
He devoted a number of studies to
aesthetics
Aesthetics (also spelled esthetics) is the branch of philosophy concerned with the nature of beauty and taste (sociology), taste, which in a broad sense incorporates the philosophy of art.Slater, B. H.Aesthetics ''Internet Encyclopedia of Ph ...
, particularly in the work of
Petar II Petrović Njegoš and
Leo Tolstoy
Count Lev Nikolayevich Tolstoy Tolstoy pronounced his first name as , which corresponds to the romanization ''Lyov''. () (; ,Throughout Tolstoy's whole life, his name was written as using Reforms of Russian orthography#The post-revolution re ...
.
Natural science

From 1917, Petronijević analyzed the
Berlin specimen of the ''
Archaeopteryx
''Archaeopteryx'' (; ), sometimes referred to by its German name, "" ( ''Primeval Bird'') is a genus of bird-like dinosaurs. The name derives from the ancient Greek (''archaîos''), meaning "ancient", and (''ptéryx''), meaning "feather" ...
''.
In 1921, discovered the pelvis of the Berlin specimen was markedly different from that of the London specimen. Namely, the Berlin specimen entirely lacked a
pubic symphysis
The pubic symphysis (: symphyses) is a secondary cartilaginous joint between the left and right superior rami of the pubis of the hip bones. It is in front of and below the urinary bladder. In males, the suspensory ligament of the penis attache ...
. Petronijević erected the genus ''Archaeornis'' and was in favor of assigning a new species to the Berlin specimen, ''Archaeornis siemensii'', after the fossil's generous donor
Werner von Siemens
Ernst Werner Siemens ( von Siemens from 1888; ; ; 13 December 1816 – 6 December 1892) was a German electrical engineer, inventor and industrialist. Siemens's name has been adopted as the SI unit of electrical conductance, the siemens. He ...
.
Gavin de Beer
Sir Gavin Rylands de Beer (1 November 1899 – 21 June 1972) was a British evolutionary embryologist, known for his work on heterochrony as recorded in his 1930 book ''Embryos and Ancestors''. He was director of the Natural History Museum, Lond ...
, however, disputed this difference, claiming it could be entirely accounted for by deformation of the specimens during preservation, a conclusion generally accepted by later paleontologists.
In 1925, Petronijević attempted to reconstruct the
sternum
The sternum (: sternums or sterna) or breastbone is a long flat bone located in the central part of the chest. It connects to the ribs via cartilage and forms the front of the rib cage, thus helping to protect the heart, lungs, and major bl ...
as being keeled. The sternum identified in the London specimen, by contrast, appeared unkeeled and this discrepancy, too, led Petronijević to classify the Berlin specimen as a different genus, ''Archaeornis''. Wellnhofer (1993) and Tischlinger & Unwin (2004) identified the triangular structure as indeed part of the sternum, albeit minimally ossified (mostly cartilagenous). This supported the idea that the Berlin ''Archaeopteryx'' was not a full-grown individual at the time of its death, and instead represents an immature animal.
After the extensive examination of five newly discovered early bird specimens all of his
taxonomic interpretations were abandoned, and only his discoveries of the ''Archaeopteryx'' skeleton parts remained.
In 1923, Petronijević added a new species, ''M. ancestrale'' to the genus ''
Moeritherium'', excluding a skull and a mandible from those attributed to ''M. lyonsi'' on the basis of some cranial characters observed on the
palatine
A palatine or palatinus (Latin; : ''palatini''; cf. derivative spellings below) is a high-level official attached to imperial or royal courts in Europe since Roman Empire, Roman times. and
occipital. In his revision of the genus, considered the skull differences mentioned by Petronijević as intraspecific and sex-related variations and synonymised ''M. gracile'', ''M. lyonsi'' and ''M. ancestrale'', keeping only one species for the
Qasr el Sagha Formation under the name ''M. lyonsi''.
Petronijević's contributions to the philosophy of
natural sciences
Natural science or empirical science is one of the branches of science concerned with the description, understanding and prediction of natural phenomena, based on empirical evidence from observation and experimentation. Mechanisms such as peer ...
are collected in his compilation ''L'évolution universelle. Exposé des preuves et des lois de l`évolution mondiale et des évolutions particulières'' (''Universal evolution. Presentation of Evidence and Laws of Global Evolution and Particular Developments'', 1921). Among them there are the explanation of
Dollo's law of irreversibility, first described in ''Zakon nepovratne evolucije'' (''Law of Irreversible Evolution'', 1920), and the introduction of his own ''Law of Non-correlative Evolution'' with which he describes the
mosaic evolution
Mosaic evolution (or modular evolution) is the concept, mainly from palaeontology, that evolutionary change takes place in some body parts or systems without simultaneous changes in other parts. Another definition is the "evolution of characters ...
in ''Archaeopteryx''.
Among his most notable contributions to the logical foundations of mathematics are his work on typical geometries, on the problem of the infinitude of space, the
three-body problem
In physics, specifically classical mechanics, the three-body problem is to take the initial positions and velocities (or momenta) of three point masses orbiting each other in space and then calculate their subsequent trajectories using Newton' ...
, on
difference quotient
In single-variable calculus, the difference quotient is usually the name for the expression
: \frac
which when taken to the Limit of a function, limit as ''h'' approaches 0 gives the derivative of the Function (mathematics), function ''f''. The ...
s, and on
mathematical induction
Mathematical induction is a method for mathematical proof, proving that a statement P(n) is true for every natural number n, that is, that the infinitely many cases P(0), P(1), P(2), P(3), \dots all hold. This is done by first proving a ...
. In psychology, he developed theories about the observation of the transparent and on the depth and observation of compound colours.
Legacy

In 1957, the Department of Natural Science of the
Serbian Academy of Sciences and Arts
The Serbian Academy of Sciences and Arts (; , SANU) is a national academy and the most prominent academic institution in Serbia, founded in 1841 as Society of Serbian Letters (, DSS).
The Academy's membership has included Nobel Prize, Nobel la ...
published a commemorative anthology of all Petronijević's publications. He was included in the 1993 book ''
The 100 most prominent Serbs'', published by the Serbian Academy of Sciences and Arts. A street in the
Višnjička Banja neighborhood of
Belgrade
Belgrade is the Capital city, capital and List of cities in Serbia, largest city of Serbia. It is located at the confluence of the Sava and Danube rivers and at the crossroads of the Pannonian Basin, Pannonian Plain and the Balkan Peninsula. T ...
is named in his honor.
According to Miodrag Cekić, Petronijević's works in philosophy may have influenced
Boltzmann's late system of philosophical classification. His theory of multi-dimensions as well as the theory of mathematical discontinuity also seems to have interested both Boltzmann and
Mach
The Mach number (M or Ma), often only Mach, (; ) is a dimensionless quantity in fluid dynamics representing the ratio of flow velocity past a Boundary (thermodynamic), boundary to the local speed of sound.
It is named after the Austrian physi ...
.
Bibliography
Works by Petronijević in English:
*
Life of Roger Joseph Boscovich' (preface to ''A Theory of Natural Philosophy'' by
Roger Joseph Boscovich
Roger Joseph Boscovich (, ; ; ; 18 May 1711 – 13 February 1787) was a Croatian physicist, astronomer, mathematician, philosopher, diplomat, poet, theologian, Jesuit priest, and a polymath from the Republic of Ragusa.[Open Court Publishing Company
The Open Court Publishing Company is a publisher with offices in Chicago and LaSalle, Illinois. It is part of the Carus Publishing Company of Peru, Illinois.
History
Open Court was founded in 1887 by Edward C. Hegeler of the Matthiessen-Hege ...]
, 1922.
Works by Petronijević in German:
* ''Der ontologische Beweis für das Dasein des Absoluten. Versuch einer Neubegründung mit besonderer Rücksicht auf das erkenntnistheoretische Grundproblem'' Leipzig : H. Haacke, 1897. (''The Ontological Proof for the Existence of the Absolute. Attempt at a New Foundation with Special Regard to the Basic Problem of Epistemology'')
* ''Der Satz vom Grunde. eine logische Untersuchung.'' Belgrade : Staatsdruckerei, 1898. (''The Principle of Reason. A Logical Investigation'')
* ''Prinzipien der Erkenntnislehre. Prolegomena zur absoluten Metaphysik.'' Berlin : Ernst Hoffmann & Co, 1900. (''Principles of Epistemology. Prolegomena to Absolute Metaphysics'')
* ''Prinzipien der Metaphysik.'' 2 vols. Heidelberg : Carl Winter's Universitätsbuchhandlung, 1904–1911. (''Principles of Metaphysics'')
* ''Die typischen Geometrien und das Unendliche.'' Heidelberg : C. Winter, 1907. (''The Typical Geometries and the Infinite'')
* ''Über den Begriff der zusammengesetzten Farbe.'' Leipzig : Barth, 1908. (''On the Concept of Compound Colors'')
* ''Über Herbarts Lehre von intelligiblem Raume.'' Berlin : Leonhard Simion, 1914. (''On Herbart's Theory of Intelligible Spaces'')
* ''Über das Becken, den Schultergürtel und einige andere Teile der Londoner Archaeopteryx.'' Genf : George, 1921. (''On the Pelvis, the Shoulder Girdle and Some Other Parts of the London Archaeopteryx'')
Works by Petronijević in French:
* ''L'évolution universelle. Exposé des preuves et des lois de l`évolution mondiale et des évolutions particulières (inorganique, organique, intellectuelle et sociale).'' Paris : F. Alcan, 1921. (''Universal Evolution. Presentation of the Evidence and Laws of Global Evolution and Particular Developments (Inorganic, Organic, Intellectual and Social)'')
* ''Sur la valeur de la vie.'' Paris : F. Alcan, 1925. (''On the Value of Life'')
* ''Résumé des travaux philosophiques et scientifiques de Branislav Petroniević.'' Academie Royal Serbe, Bulletin de l'Academie des Lettres, No. 2. Belgrade, 1937.
Works by Petronijević in Serbian on
Schopenhauer
Arthur Schopenhauer ( ; ; 22 February 1788 – 21 September 1860) was a German philosopher. He is known for his 1818 work '' The World as Will and Representation'' (expanded in 1844), which characterizes the phenomenal world as the manife ...
,
Nietzsche
Friedrich Wilhelm Nietzsche (15 October 1844 – 25 August 1900) was a German philosopher. He began his career as a classical philologist, turning to philosophy early in his academic career. In 1869, aged 24, Nietzsche became the youngest pro ...
,
Spinoza
Baruch (de) Spinoza (24 November 163221 February 1677), also known under his Latinized pen name Benedictus de Spinoza, was a philosopher of Portuguese-Jewish origin, who was born in the Dutch Republic. A forerunner of the Age of Enlightenmen ...
,
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 many ...
,
Spencer, and
Hegel
Georg Wilhelm Friedrich Hegel (27 August 1770 – 14 November 1831) was a 19th-century German idealism, German idealist. His influence extends across a wide range of topics from metaphysical issues in epistemology and ontology, to political phi ...
.
* ''Спиритизам. Београд, 1900. стр. 74''
* ''Фридрих Ниче. Н. Сад, 1902. стр. 99''
* ''О слободи воље, моралној и кривичној одговорности. Београд, 1906. стр. 178+1''
* ''Едуард Хартман. Живот и филозофија. Београд, 1907. стр. 43''
* ''Филозофија у „Горском Вијенцу“ Н. Сад, 1908. стр. 60''
* ''Основи емпириске психологије. Београд, 1910. стр. 318''
* ''Чланци и студије. Књ. --. Београд, 1913-22.''
* ''Шопенхауер, Ниче и Спенсер. Београд, 1922. стр. 316''
* ''Историја новије филозофије. -- део од Ренесансе до Канта. Београд, 1922. стр. 389''
* ''Основи емпириске психологије. -- изд. Књ. --. Београд, 1923-6. стр. 12+172''
* ''Основи теорије сазнања са 19 сл. у тексту. Београд, 1923. стр. 187''
* ''Хегел и Хартман. Београд, 1924. стр. 151''
* ''Чланци и студије. Нова серија. Београд, 1932. стр. 1932''
* ''Принципи метафизике - I, II, Београд, 1998.''
See also
*
Ljubomir Nedić
*
Ksenija Atanasijević
*
Milan Kujundžić Aberdar
*
Petar II Petrović Njegoš
References
* Šešić, B., "Petronijević, Branislav" in Brochert, D. M. (ed.), ''Encyclopedia of Philosophy, Second Edition, vol. 7'' (Thomson Gale, 2006), p. 266-267.
* A. Stojković, M. Prvаnović, A. Grubić, ''Život i delo srpskih nаučnikа'', Book 8, ed. Miloje R. Sаrić, Beograd : SANU, 2002, pp. 213–260,
External links
* Full text of the first volume of Petronijević's
Principien der Metaphysik' (German), on the
Internet Archive
The Internet Archive is an American 501(c)(3) organization, non-profit organization founded in 1996 by Brewster Kahle that runs a digital library website, archive.org. It provides free access to collections of digitized media including web ...
{{DEFAULTSORT:Petronijevic, Branislav
1875 births
1954 deaths
20th-century Serbian philosophers
Idealists
Leipzig University alumni
Members of the Serbian Academy of Sciences and Arts
Serbian paleontologists
People from Ub, Serbia
Academic staff of the University of Belgrade
Serbian philosophers
Yugoslav philosophers