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Albert of Saxony (
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 ...
: ''Albertus de Saxonia''; c. 1320 – 8 July 1390) was a German philosopher and
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 ...
known for his contributions to
logic Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or of logical truths. It is a formal science investigating how conclusions follow from premise ...
and
physics Physics is the natural science that studies matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which r ...
. He was
bishop of Halberstadt The Diocese of Halberstadt was a Roman Catholic diocese (german: Bistum Halberstadt) from 804 until 1648.
from 1366 until his death.


Life

Albert was born at
Rickensdorf near Helmstedt, the son of a farmer in a small village; but because of his talent, he was sent to study at the University of Prague and the
University of Paris , image_name = Coat of arms of the University of Paris.svg , image_size = 150px , caption = Coat of Arms , latin_name = Universitas magistrorum et scholarium Parisiensis , motto = ''Hic et ubique terrarum'' (Latin) , mottoeng = Here and a ...
. At Paris, he became a master of arts (a professor), and held this post from 1351 until 1362. He also studied theology at the
College of Sorbonne The College of Sorbonne (french: Collège de Sorbonne) was a theological college of the University of Paris, founded in 1253 (confirmed in 1257) by Robert de Sorbon (1201–1274), after whom it was named. With the rest of the Paris colleges, ...
, although without receiving a degree. In 1353, he was
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 ...
of the University of Paris. After 1362, Albert went to the court of
Pope Urban V Pope Urban V ( la, Urbanus V; 1310 – 19 December 1370), born Guillaume de Grimoard, was the head of the Catholic Church from 28 September 1362 until his death in December 1370 and was also a member of the Order of Saint Benedict. He was the ...
in Avignon as an envoy of
Rudolf IV, Duke of Austria Rudolf IV (1 November 1339 – 27 July 1365), also called Rudolf the Founder (german: der Stifter), was a scion of the House of Habsburg who ruled as duke of Austria (self-proclaimed archduke), Styria and Carinthia from 1358, as well as count ...
, in order to negotiate the founding of the
University of Vienna The University of Vienna (german: Universität Wien) is a public research university located in Vienna, Austria. It was founded by Duke Rudolph IV in 1365 and is the oldest university in the German-speaking world. With its long and rich hist ...
. The negotiations were successful, and Albert became the first rector of this University in 1365. In 1366, Albert was elected
bishop of Halberstadt The Diocese of Halberstadt was a Roman Catholic diocese (german: Bistum Halberstadt) from 804 until 1648.
(counted as Albert III), Halberstadt being the diocese in which he was born. As Bishop of Halberstadt, he allied himself with Magnus with the Necklace, Duke of Brunswick-Lüneburg, against Gebhard of Berg,
Bishop of Hildesheim This list records the incumbents of the Roman Catholic Diocese of Hildesheim (german: link=no, Bistum Hildesheim). Between 1235 and 1803 the bishops simultaneously officiating as rulers of princely rank (prince-bishop) in the Prince-Bishopric of ...
, and was taken prisoner by Gebhard in the battle of Dinckler in 1367. He died at Halberstadt in 1390.


Philosophy

Albert was a pupil of
Jean Buridan Jean Buridan (; Latin: ''Johannes Buridanus''; – ) was an influential 14th-century French philosopher. Buridan was a teacher in the faculty of arts at the University of Paris for his entire career who focused in particular on logic and the wor ...
and was very much influenced by Buridan's teachings on
physics Physics is the natural science that studies matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which r ...
and
logic Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or of logical truths. It is a formal science investigating how conclusions follow from premise ...
. As a natural philosopher, he contributed to the spread of Parisian
natural philosophy Natural philosophy or philosophy of nature (from Latin ''philosophia naturalis'') is the philosophical study of physics, that is, nature and the physical universe. It was dominant before the development of modern science. From the ancient wo ...
throughout
Italy Italy ( it, Italia ), officially the Italian Republic, ) or the Republic of Italy, is a country in Southern Europe. It is located in the middle of the Mediterranean Sea, and its territory largely coincides with the homonymous geographical ...
and central Europe. Similar to Buridan, Albert combined critical analysis of
language Language is a structured system of communication. The structure of a language is its grammar and the free components are its vocabulary. Languages are the primary means by which humans communicate, and may be conveyed through a variety of ...
with epistemological
pragmatism Pragmatism is a philosophical tradition that considers words and thought as tools and instruments for prediction, problem solving, and action, and rejects the idea that the function of thought is to describe, represent, or mirror reality. ...
. Albert distinguishes, as his teacher did, between what is absolutely impossible or contradictory and what is impossible “in the common course of nature” and considers hypotheses under circumstances that are not naturally possible but imaginable given God's absolute power. Albert refused to extend the
reference Reference is a relationship between objects in which one object designates, or acts as a means by which to connect to or link to, another object. The first object in this relation is said to ''refer to'' the second object. It is called a '' name'' ...
of a physical
term Term may refer to: * Terminology, or term, a noun or compound word used in a specific context, in particular: **Technical term, part of the specialized vocabulary of a particular field, specifically: ***Scientific terminology, terms used by scient ...
to supernatural, purely imaginary possibilities. Later regarded as one of the principal adherents of nominalism, along with his near contemporaries at Paris, namely Buridan and Marsilius of Inghen, whose works are often so similar as to be confused with each other. The subsequent wide circulation of Albert's work made him a better-known figure in some areas than more important contemporaries like Buridan and
Nicole Oresme Nicole Oresme (; c. 1320–1325 – 11 July 1382), also known as Nicolas Oresme, Nicholas Oresme, or Nicolas d'Oresme, was a French philosopher of the later Middle Ages. He wrote influential works on economics, mathematics, physics, astrology an ...
. Albert's work in
logic Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or of logical truths. It is a formal science investigating how conclusions follow from premise ...
also shows strong influence by
William of Ockham William of Ockham, OFM (; also Occam, from la, Gulielmus Occamus; 1287 – 10 April 1347) was an English Franciscan friar, scholastic philosopher, apologist, and Catholic theologian, who is believed to have been born in Ockham, a small vil ...
, whose commentaries on the ''logica vetus'' (i. e. on Porphyry, and
Aristotle Aristotle (; grc-gre, Ἀριστοτέλης ''Aristotélēs'', ; 384–322 BC) was a Greek philosopher and polymath during the Classical period in Ancient Greece. Taught by Plato, he was the founder of the Peripatetic school of ph ...
's '' Categoriae'' and '' De interpretatione'') were made the subject of a series of works called ''Quaestiones'' by Albert. Albert of Saxony's teachings on logic and metaphysics were extremely influential. The
theory of impetus The theory of impetus was an auxiliary or secondary theory of Aristotelian dynamics, put forth initially to explain projectile motion against gravity. It was introduced by John Philoponus in the 6th century, and elaborated by Nur ad-Din al-Bitru ...
introduced a third stage to the two stage theory of
John Philoponus John Philoponus (Greek: ; ; c. 490 – c. 570), also known as John the Grammarian or John of Alexandria, was a Byzantine Greek philologist, Aristotelian commentator, Christian theologian and an author of a considerable number of philosophical tr ...
.Michael McCloskey: ''Impetustheorie und Intuition in der Physik.''. In: ''Newtons Universum''. Verlag Spektrum der Wissenschaft: Heidelberg 1990, , p. 18. # Initial stage. Motion is in a straight line in direction of impetus which is dominant while gravity is insignificant # Intermediate stage. Path begins to deviate downwards from straight line as part of a great circle as air resistance slows projectile and gravity recovers. # Last stage. Gravity alone draws projectile downwards vertically as all impetus is spent. This theory was a precursor to the modern theory of
inertia Inertia is the idea that an object will continue its current motion until some force causes its speed or direction to change. The term is properly understood as shorthand for "the principle of inertia" as described by Newton in his first law ...
. Although Buridan remained the predominant figure in logic, Albert's ''Perutilis logica'' (c. 1360) was destined to serve as a popular text because of its systematic nature and also because it takes up and develops essential aspects of the Ockhamist position. Albert accepted Ockham's conception of the nature of a sign. Albert believed that signification rests on a referential relation of the sign to the individual thing, and that the spoken sign depends for its signification on the conceptual sign. Albert followed Ockham in his conception of universals and in his theory of supposition. Specifically, Albert preserved Ockham's notion of simple supposition, understood as the direct reference of a term to the concept on which it depends when it signifies an extra-mental thing. Albert followed Ockham in his theory of
categories Category, plural categories, may refer to: Philosophy and general uses *Categorization, categories in cognitive science, information science and generally *Category of being * ''Categories'' (Aristotle) *Category (Kant) * Categories (Peirce) * ...
and contrary to Buridan, refused to treat quantity as a feature of reality in its own right, but rather reduced it to a disposition of substance and
quality Quality may refer to: Concepts *Quality (business), the ''non-inferiority'' or ''superiority'' of something *Quality (philosophy), an attribute or a property *Quality (physics), in response theory * Energy quality, used in various science discipl ...
. Albert established signification through a referential relation to a singular thing defining the relation of the spoken to conceptual signs as a relation of subordination. Albert's treatment of relation was highly original. Although, like Ockham, he refused to construe relations as things distinct from absolute entities, he clearly ascribed them to an act of the
soul In many religious and philosophical traditions, there is a belief that a soul is "the immaterial aspect or essence of a human being". Etymology The Modern English noun '' soul'' is derived from Old English ''sāwol, sāwel''. The earliest atte ...
by which absolute entities are compared and placed in relation to each other. He therefore completely rejected certain propositions Ockham had admitted reasonable, even if he did not construe them in the same way. Albert's voluminous collection of ''Sophismata'' (c. 1359) examined various sentences that raise difficulties of interpretation due to the presence of syncategorematic terms such as quantifiers and certain
prepositions Prepositions and postpositions, together called adpositions (or broadly, in traditional grammar, simply prepositions), are a class of words used to express spatial or temporal relations (''in'', ''under'', ''towards'', ''before'') or mark various ...
, which, according to medieval logicians, do not have a proper and determinate signification but rather modify the signification of the other terms in the
proposition In logic and linguistics, a proposition is the meaning of a declarative sentence. In philosophy, " meaning" is understood to be a non-linguistic entity which is shared by all sentences with the same meaning. Equivalently, a proposition is the no ...
s in which they occur. In his ''Sophismata,'' he followed William Heytesbury. In his analysis of epistemic verbs or of infinity, Albert admitted that a proposition has its own signification, which is not that of its terms: just like a syncategorematic term, a proposition signifies a “mode of a thing.” Albert made use of the idea of the distinguishable signification of the proposition in defining
truth Truth is the property of being in accord with fact or reality.Merriam-Webster's Online Dictionarytruth 2005 In everyday language, truth is typically ascribed to things that aim to represent reality or otherwise correspond to it, such as belie ...
and in dealing with “ insolubles” or
paradox A paradox is a logically self-contradictory statement or a statement that runs contrary to one's expectation. It is a statement that, despite apparently valid reasoning from true premises, leads to a seemingly self-contradictory or a logically u ...
es of self-reference. In this work he shows that since every proposition, by its very form, signifies that it is true, an insoluble proposition will turn out to be false because it will signify at once both that it is true and that it is false. Albert also authored commentaries on ''Ars Vetus'', a set of twenty-five ''Quaestiones logicales'' (c. 1356) that involved semantical problems and the status of logic, and ''Quaestiones'' on the ''Posterior Analytics''. Albert explored in a series of disputed
question A question is an utterance which serves as a request for information. Questions are sometimes distinguished from interrogatives, which are the grammatical forms typically used to express them. Rhetorical questions, for instance, are interroga ...
s the status of
logic Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the science of deductively valid inferences or of logical truths. It is a formal science investigating how conclusions follow from premise ...
and
semantics Semantics (from grc, σημαντικός ''sēmantikós'', "significant") is the study of reference, meaning, or truth. The term can be used to refer to subfields of several distinct disciplines, including philosophy, linguistics and comp ...
, as well as the
theory of reference In analytic philosophy, philosophy of language investigates the nature of language and the relations between language, language users, and the world. Investigations may include inquiry into the nature of meaning, intentionality, reference, the ...
and
truth Truth is the property of being in accord with fact or reality.Merriam-Webster's Online Dictionarytruth 2005 In everyday language, truth is typically ascribed to things that aim to represent reality or otherwise correspond to it, such as belie ...
. Albert was influenced by English logicians and was influential in the diffusion of terminist logic in central Europe. Albert is considered a major contributor in his theory of consequences, found in his ''Perutilis Logica''. Albert took a major step forward in the medieval theory of
logical deduction Deductive reasoning is the mental process of drawing deductive inferences. An inference is deductively valid if its conclusion follows logically from its premises, i.e. if it is impossible for the premises to be true and the conclusion to be false ...
. But it was his commentary on
Aristotle Aristotle (; grc-gre, Ἀριστοτέλης ''Aristotélēs'', ; 384–322 BC) was a Greek philosopher and polymath during the Classical period in Ancient Greece. Taught by Plato, he was the founder of the Peripatetic school of ph ...
's ''
Physics Physics is the natural science that studies matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge which r ...
'' that was especially widely read. Many manuscripts of it can be found in France and Italy, in Erfurt and Prague. Albert's ''Physics'' basically guaranteed the transmission of the Parisian tradition to Italy, where it was authoritative along with the works of
Heytesbury Heytesbury is a village (formerly considered to be a town) and a civil parish in Wiltshire, England. The village lies on the north bank of the Wylye, about southeast of the town of Warminster. The civil parish includes most of the small neig ...
and John Dumbleton. His commentary on Aristotle's ''
De caelo ''On the Heavens'' (Greek: ''Περὶ οὐρανοῦ''; Latin: ''De Caelo'' or ''De Caelo et Mundo'') is Aristotle's chief cosmological treatise: written in 350 BC, it contains his astronomical theory and his ideas on the concrete workings ...
'' was also influential, eventually eclipsing Buridan's commentary on this text.
Blasius of Parma Blasius of Parma (Biagio Pelacani da Parma) (c. 13501416) was an Italian philosopher, mathematician and astrologer. He popularised English and French philosophical work in Italy, where he associated both with scholastics and with early Renaissance ...
read it in Bologna between 1379 and 1382. A little later, it enjoyed a wide audience at Vienna. His ''Treatise on Proportions'' was often quoted in Italy where, in addition to the texts of Thomas Bradwardine and Oresme, it influenced the application of the theory of proportions to
motion In physics, motion is the phenomenon in which an object changes its position with respect to time. Motion is mathematically described in terms of displacement, distance, velocity, acceleration, speed and frame of reference to an observer and m ...
. Albert's commentaries on the '' Nicomachean Ethics'' and the ''
Economics Economics () is the social science that studies the production, distribution, and consumption of goods and services. Economics focuses on the behaviour and interactions of economic agents and how economies work. Microeconomics analyzes ...
'' also survive (both unedited), as well as several short
mathematical Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
texts, most notably ''Tractatus proportionum'' (c. 1353). Although Albert studied
theology 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 ...
in Paris, no theological writing survived. Albert played an essential role in the diffusion throughout Italy and central Europe of Parisian ideas which bore the mark of Buridan's teachings, but which were also clearly shaped by Albert's own grasp of English innovations. At the same time, Albert was not merely a compiler of the work of others. He knew how to construct proofs of undeniable originality on many topics in logic and physics.


Works

*''Perutilis Logica Magistri Alberti de Saxonia'' (''Very Useful Logic''), Venice 1522 and
Hildesheim Hildesheim (; nds, Hilmessen, Hilmssen; la, Hildesia) is a city in Lower Saxony, Germany with 101,693 inhabitants. It is in the district of Hildesheim, about southeast of Hanover on the banks of the Innerste River, a small tributary of the L ...
1974 (reproduction) *''Albert of Saxony's Twenty-Five Disputed Questions on Logic. A Critical Edition of His Quaestiones circa logicam'', by Michael J. Fitzgerald, Leiden: Brill, 2002 *''Quaestiones in artem veterem'' critical edition by Angel Muñoz Garcia, Maracaibo, Venezuela: Universidad del Zulia,1988 *''Quaestiones on the Posterior Analytics'' *''Quaestiones logicales'' (''Logical Questions'') *''De consequentiis'' (On Consequences) - attributed *''De locis dialecticis'' (On Dialectical Topics) - attributed *''Sophismata et
Insolubilia In the Middle Ages, variations on the liar paradox were studied under the name of ''insolubilia'' ("insolubles"). Overview Although the liar paradox was well known in antiquity, interest seems to have lapsed until the twelfth century, when it ap ...
et Obligationes'', Paris 1489 and
Hildesheim Hildesheim (; nds, Hilmessen, Hilmssen; la, Hildesia) is a city in Lower Saxony, Germany with 101,693 inhabitants. It is in the district of Hildesheim, about southeast of Hanover on the banks of the Innerste River, a small tributary of the L ...
1975 (reproduction) *''Expositio et quaestiones in Aristotelis Physicam ad Albertum de Saxonia attributae'' critical edition by Benoit Patar, Leuven, Peeters Publishers, 1999 *''Questiones subtilissime in libros Aristotelis de caelo et mundo, Venetiis, 1492. Questiones subtilissime super libros posteriorum, Venetiis 1497''
Hildesheim Hildesheim (; nds, Hilmessen, Hilmssen; la, Hildesia) is a city in Lower Saxony, Germany with 101,693 inhabitants. It is in the district of Hildesheim, about southeast of Hanover on the banks of the Innerste River, a small tributary of the L ...
1986 (reproduction) *''Alberti de Saxonia Quæstiones in Aristotelis De cælo'' critical edition by Benoit Patar, Leuven, Peeters Publishers, 2008 *''De latudinibus'',
Padua Padua ( ; it, Padova ; vec, Pàdova) is a city and ''comune'' in Veneto, northern Italy. Padua is on the river Bacchiglione, west of Venice. It is the capital of the province of Padua. It is also the economic and communications hub of the ...
1505 *''De latitudinibus formarum'' *''De maximo et minimo'' *''De quadratura circuli'' - ''Question on the Squaring of the Circle'' *''Tractatus proportionum'', Venice 1496 and Vienna 1971: editor Hubertus L. Busard


Modern editions and English translations

* ''Tractatus proportionum'': ''Der Tractatus proportionum von Albert von Sachsen'', Osterreichische Akademie der Wissenschaften, math.-nat. Klasse, Denkschriften 116(2):44–72. Springer, Vienna, 1971. * ''Perutilis logica'', Latin text and Spanish translation by A. Muñoz-Garcia, Universidad Nacional Autonoma de Mexico, 1988. * ''Quaestiones in Artem Veterem'', Latin text and Spanish translation by A. Muñoz-Garcia, Maracaibo, Universidad del Zulia, 1988. * ''De proprietates terminorum'' (second tract of the ''Perutilis logica''), edited by C. Kann, ''Die Eigenschaften der Termini'', Brill, Leiden, 1993. * ''Quaestiones super libros Physicorum'', edited by B. Patar, ''Expositio et Quaestiones in Aristotelis Physicam ad Albertum de Saxonia attributae'', Louvain, Peeters, 1999 (3 volumes). * ''Quaestiones circa Logicam: Twenty-Five Disputed Questions on Logic,'' trans. Michael J. Fitzgerald,
Dallas Medieval Texts and Translations Dallas Medieval Texts and Translations is a book series founded at the University of Dallas and currently co-sponsored by the University of Dallas and Maynooth University in Ireland. The series is published by Peeters, a publishing house based in Le ...
9, Louvain and Paris: Peeters, 2010.


See also

* John Buridan *
List of Roman Catholic scientist-clerics A ''list'' is any set of items in a row. List or lists may also refer to: People * List (surname) Organizations * List College, an undergraduate division of the Jewish Theological Seminary of America * SC Germania List, German rugby unio ...


References


Further reading

* Joel Biard (ed.), ''Itinéraires d’Albert de Saxe. Paris Vienne au XIVe siècle'', Paris, Vrin, 1991. * Grant, Edward, ''A Companion to Philosophy in the Middle Ages'', In Gracia, J., J., E. & Noone, T. B. (Eds.), Blackwell Companions to Philosophy, Malden, MA: Blackwell, 2003. * * Pasnau, Robert, ''The Cambridge History of Medieval Philosophy'', Cambridge: Cambridge University Press, 2010. * * J.M.M.H. Thijssen, ''The Buridan School Reassessed. John Buridan and Albert of Saxony'', Vivarium 42, 2004, pp. 18–42.


External links

* * *
Zedlers Universal-Lexicon, vol. 1, p. 542
* {{DEFAULTSORT:Albert of Saxony 1316 births 1390 deaths People from Helmstedt (district) 14th-century German philosophers Catholic philosophers Roman Catholic Prince-Bishops of Halberstadt 14th-century German Roman Catholic bishops Scholastic philosophers Latin commentators on Aristotle 14th-century German mathematicians Medieval German mathematicians 14th-century Latin writers Academics of the University of Vienna University of Paris faculty Rectors of the University of Paris Charles University alumni Catholic clergy scientists German logicians German philosophers German male writers 14th-century German writers Medieval physicists