In philosophy (particularly the theory of categories), the Porphyrian tree or Tree of Porphyry is a classic device for illustrating a "scale of being" (Latin : scala praedicamentalis), attributed to the 3rd-century CE Greek neoplatonist philosopher and logician Porphyry, and revived through the translations of Boethius. [1]
Porphyry suggests the tree in his introduction (" Isagoge ") to Aristotle's Categories. Porphyry presented Aristotle's classification of categories in a way that was later adopted into tree-like diagrams of two-way divisions, which indicate that a species is defined by a genus and a differentia and that this logical process continues until the lowest species is reached, which can no longer be so defined. No illustrations or diagrams occur in editions of Porphyry's original work; diagrams were eventually made, and became associated with the scheme that Porphyry describes, following Aristotle.
Porphyry's Isagoge was originally written in Greek, but was translated into Latin in the early 6th century CE by Boethius. Translations by Boethius became the standard philosophical logic textbook in the Middle Ages, [2] and theories of categories based on Porphyry's work were still being taught to students of logic until the late 19th century.
Philosopher James Franklin offers some history of the Porphyrian tree:
Thus, the notion of the Porphyrian tree as an actual diagram comes later than Porphyry himself. Still, scholars do speak of Porphyry's tree as in the Isagoge and they mean by this only that the idea of dividing genera into species via differentiae is found in the Isagoge. But, of course, Porphyry was only following what was already in Aristotle, and Aristotle was following what was already in his teacher, Plato. [6]
The following Porphyrian tree consists of three columns of words; the middlemost (in boldface) contains the series of genera and species, and we can take it as analogous to the trunk of a tree. The extremes (the terms that jut out to the left and right), containing the differentiae, we can take as analogous to the branches of a tree:
The diagram shows the highest genus to be substance. (Whether substance is a highest genus, really, is not in question here: right now we are only going to discuss what the diagram shows, not whether what it shows is true or false.) The technical term for a highest substance is summum genus . So, substance is the summum genus as far as this diagram goes. The diagram shows that the genus substance has two differentia, namely, "thinking" and "extended." This indicates that there are two species of the genus substance, thinking substance and extended substance. The diagram does not give a term for the species of thinking substance (this would be "mind"), but it does give the term for the species of extended substance, namely, body. That is, body is a species of the genus substance; body is that species of the genus substance that is extended.
Now that we have seen body as a species of substance, we treat body as a genus itself. As a genus, it has two differentia of its own, inanimate and animate. So, there are two species of body, inanimate body and animate body. The diagram does not tell us what the term for inanimate body is, but it indicates a term for animate body, namely, animal. Animal is an animate species of the genus body.
And, again, now that we have looked at animal as a species of the genus body, we look at animal now as a genus and consider its differentia, which are shown on the diagram to be irrational and rational. Thus, according to the diagram there are two species of the genus animal, irrational animal and rational animal. We are not told by the diagram what a term for irrational animal is, but the diagram indicates that a rational animal is a human. Thus, human is a rational species of the genus animal.
Beneath human, however, there are no further species. "This" and "that" if they are considered differentiae, are of a special kind that map the species human not onto a new species but onto particular humans. [7] The particular human Plato is named in the diagram. Plato is not a species (that is why his name is not in bold, unlike the species above). So, human is the lowest species in this diagram. The technical name for the lowest species in such a scheme is the infima species . So, for this diagram, human is the infima species.
Aristotle was an Ancient Greek philosopher and polymath. His writings cover a broad range of subjects spanning the natural sciences, philosophy, linguistics, economics, politics, psychology, and the arts. As the founder of the Peripatetic school of philosophy in the Lyceum in Athens, he began the wider Aristotelian tradition that followed, which set the groundwork for the development of modern science.
Ammonius Hermiae was a Greek philosopher from Alexandria in the eastern Roman empire during Late Antiquity. A Neoplatonist, he was the son of the philosophers Hermias and Aedesia, the brother of Heliodorus of Alexandria and the grandson of Syrianus. Ammonius was a pupil of Proclus in Roman Athens, and taught at Alexandria for most of his life, having obtained a public chair in the 470s.
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A genus–differentia definition is a type of intensional definition, and it is composed of two parts:
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Reason is the capacity of applying logic consciously by drawing conclusions from new or existing information, with the aim of seeking the truth. It is associated with such characteristically human activities as philosophy, religion, science, language, mathematics, and art, and is normally considered to be a distinguishing ability possessed by humans. Reason is sometimes referred to as rationality.
A syllogism is a kind of logical argument that applies deductive reasoning to arrive at a conclusion based on two propositions that are asserted or assumed to be true.
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Anicius Manlius Severinus Boethius, commonly known simply as Boethius, was a Roman senator, consul, magister officiorum, polymath, historian, and philosopher of the Early Middle Ages. He was a central figure in the translation of the Greek classics into Latin, a precursor to the Scholastic movement, and, along with Cassiodorus, one of the two leading Christian scholars of the 6th century. The local cult of Boethius in the Diocese of Pavia was sanctioned by the Sacred Congregation of Rites in 1883, confirming the diocese's custom of honouring him on the 23 October.
The Organon is the standard collection of Aristotle's six works on logical analysis and dialectic. The name Organon was given by Aristotle's followers, the Peripatetics, who maintained against the Stoics that Logic was "an instrument" of Philosophy.
Porphyry of Tyre was a Neoplatonic philosopher born in Tyre, Roman Phoenicia during Roman rule. He edited and published The Enneads, the only collection of the work of Plotinus, his teacher.
Predicable is, in scholastic logic, a term applied to a classification of the possible relations in which a predicate may stand to its subject. It is not to be confused with 'praedicamenta', the scholastics' term for Aristotle's ten Categories.
The Topics is the name given to one of Aristotle's six works on logic collectively known as the Organon. In Andronicus of Rhodes' arrangement it is the fifth of these six works.
The term rational animal refers to a classical definition of humanity or human nature, associated with Aristotelianism.
In the history of logic, the term logica nova refers to a subdivision of the logical tradition of Western Europe, as it existed around the middle of the twelfth century. The Logica vetus referred to works of Aristotle that had long been known and studied in the Latin West, whereas the Logica nova referred to forms of logic derived from Aristotle's works which had been unavailable until they were translated by James of Venice in the 12th century. Study of the Logica nova was part of the Renaissance of the 12th century.
The Isagoge or "Introduction" to Aristotle's "Categories", written by Porphyry in Greek and translated into Latin by Boethius, was the standard textbook on logic for at least a millennium after his death. It was composed by Porphyry in Sicily during the years 268–270, and sent to Chrysaorium, according to all the ancient commentators Ammonius, Elias, and David. The work includes the highly influential hierarchical classification of genera and species from substance in general down to individuals, known as the Tree of Porphyry, and an introduction which mentions the problem of universals.
In scholastic logic, differentia is one of the predicables; it is that part of a definition which is predicable in a given genus only of the definiendum; or the corresponding "metaphysical part" of the object. In the original, logical sense, a differentia is a concept — the notion of "differentia" is a second-order concept, or a "second intention", in the scholastic nomenclature. In the scholastic theory it is a kind of essential predicate — a predicate that belongs to its subjects de re necessarily. It is distinguished against the species by expressing the (specific) essence of the object only partially and against the genus by expressing the determining rather than the determined part of the essence.
Commentaries on Aristotle refers to the great mass of literature produced, especially in the ancient and medieval world, to explain and clarify the works of Aristotle. The pupils of Aristotle were the first to comment on his writings, a tradition which was continued by the Peripatetic school throughout the Hellenistic period and the Roman era. The Neoplatonists of the Late Roman Empire wrote many commentaries on Aristotle, attempting to incorporate him into their philosophy. Although Ancient Greek commentaries are considered the most useful, commentaries continued to be written by the Christian scholars of the Byzantine Empire and by the many Islamic philosophers and Western scholastics who had inherited his texts.
This is an index of Wikipedia articles in philosophy of language
Medieval philosophy is the philosophy that existed through the Middle Ages, the period roughly extending from the fall of the Western Roman Empire in the 5th century until after the Renaissance in the 13th and 14th centuries. Medieval philosophy, understood as a project of independent philosophical inquiry, began in Baghdad, in the middle of the 8th century, and in France and Germany, in the itinerant court of Charlemagne in Aachen, in the last quarter of the 8th century. It is defined partly by the process of rediscovering the ancient culture developed in Greece and Rome during the Classical period, and partly by the need to address theological problems and to integrate sacred doctrine with secular learning. This is one of the defining characteristics in this time period. Understanding God was the focal point of study of the philosophers at that time, Muslim and Christian alike.
This article incorporates text from a publication now in the public domain : Chambers, Ephraim, ed. (1728). "Arbor Porphyriana". Cyclopædia, or an Universal Dictionary of Arts and Sciences (1st ed.). James and John Knapton, et al. p. 128.