The Posterior Analytics (Greek: ????????? ??????; Latin: Analytica Posteriora) is a text from Aristotle’s Organon that deals with demonstration, definition, and scientific knowledge. The demonstration is distinguished as a syllogism productive of scientific knowledge, while the definition marked as the statement of a thing’s nature, ... a statement of the meaning of the name, or of an equivalent nominal formula. Aeterna Press
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David Bronstein sheds new light on Aristotle's 'Posterior Analytics' - one of the most important, and difficult, works in the history of Western philosophy. He argues that it is coherently structured around two themes of enduring philosophical interest - knowledge and learning - and goes on to highlight Plato's influence on Aristotle's text.
CATEGORIES by Aristotle translated by E. M. Edghill 1 Things are said to be named 'equivocally' when, though they have a common name, the definition corresponding with the name differs for each. Thus, a real man and a figure in a picture can both lay claim to the name 'animal'; yet these are equivocally so named, for, though they have a common name, the definition corresponding with the name differs for each. For should any one define in what sense each is an animal, his definition in the one case will be appropriate to that case only. On the other hand, things are said to be named 'univocally' which have both the name and the definition answering to the name in common. A man and an ox are both 'animal', and these are univocally so named, inasmuch as not only the name, but also the definition, is the same in both cases: for if a man should state in what sense each is an animal, the statement in the one case would be identical with that in the other. Things are said to be named 'derivatively', which derive their name from some other name, but differ from it in termination. Thus the grammarian derives his name from the word 'grammar', and the courageous man from the word 'courage'.
Aristotle was the founder not only of logic but also of modal logic. In the Prior Analytics he developed a complex system of modal syllogistic which, while influential, has been disputed since antiquity—and is today widely regarded as incoherent. In this meticulously argued new study, Marko Malink presents a major reinterpretation of Aristotle’s modal syllogistic. Combining analytic rigor with keen sensitivity to historical context, he makes clear that the modal syllogistic forms a consistent, integrated system of logic, one that is closely related to other areas of Aristotle’s philosophy. Aristotle’s modal syllogistic differs significantly from modern modal logic. Malink considers the key to understanding the Aristotelian version to be the notion of predication discussed in the Topics—specifically, its theory of predicables (definition, genus, differentia, proprium, and accident) and the ten categories (substance, quantity, quality, and so on). The predicables introduce a distinction between essential and nonessential predication. In contrast, the categories distinguish between substantial and nonsubstantial predication. Malink builds on these insights in developing a semantics for Aristotle’s modal propositions, one that verifies the ancient philosopher’s claims of the validity and invalidity of modal inferences. Malink recognizes some limitations of this reconstruction, acknowledging that his proof of syllogistic consistency depends on introducing certain complexities that Aristotle could not have predicted. Nonetheless, Aristotle’s Modal Syllogistic brims with bold ideas, richly supported by close readings of the Greek texts, and offers a fresh perspective on the origins of modal logic.
This book argues that Aristotle offers us a consistent theory of definition, according to which a particular type of definition – one which states the formal cause of a simple item – is fundamental. It begins by considering definitions as indemonstrable first principles in demonstrations, and inquires how such definitions can have the certainty required by that role. Later chapters look to the Metaphysics to understand how the unity of definitions guarantees their certainty, and to the Topics to discover why definitions must be formulated in terms of the genus and differentia(e) of the object defined. This work contributes to our understanding of the connection between the function of definition in demonstration and its character as a statement of essence.
Die Quellen der Aristoteles-Rezeption bzw. der aristotelischen Logik im byzantinischen Mittelalter sind nur teilweise oder gering erforscht. Eine der wichtigen Autoritäten dieser Tradition stellt Leon Magentenos (12. Jh.?) dar. Magentenos war Metropolit von Mytilene sowie ein Gelehrter, der Kommentare zu allen sechs Traktaten des aristotelischen Organon (Categoriae, De Interpretatione, Analytica Priora, Analytica Posteriora, Topica, Sophistici Elenchi) verfasst hat. Hier wird die kritische Edition des Kommentars zum zweiten Buch der Ersten Analytik zusammen mit seiner Übersetzung ins Englische vorgelegt. Untersucht werden auch die dem Kommentar angehängten syllogistischen Diagramme. Kommentare zu Analytica Priora II nach der Spätantike und vor Magentenos waren eher eine Rarität, daher ist sein Kommentar eine wichtige Quelle für alle Forscher, die sich mit der Geschichte der byzantinischen Logik und der aristotelischen Kommentierung befassen.
