De syllogismis hypotheticis

from Wikipedia, the free encyclopedia

De syllogismis hypotheticis is a logical script that Abbo von Fleury created in Latin in the 10th century . "The conception of logic on which Abbo's treatise on the hypothetical syllogisms is based is difficult to make accessible to the modern reader. It is a logic of propositions that has nothing to do with modern propositional logic."

Content and sources

Abbo von Fleury deals with the concept of the hypothetical syllogism, which is important in the literature on logic and dialectics . This topic was worked on in antiquity and late antiquity up to Anicius Manlius Severinus Boethius , Cassiodorus and Isidore of Seville . After a long interval, Abbo von Fleury is the first to return to the hypothetical and categorical syllogism . He follows closely the traditional, ancient writings, for chap. I – V and VII of the De hypotheticis syllogismis (DHS) of Boethius. 2 Statements become conjunctive ( if a applies, b also applies , e.g. if he is a person, then he is a living being ) or disjunctive ( if it is a, then it is not b , e.g. if it is white, then it is not black ) and placed in different relationships. For this purpose, Chap. II, IV, VI the cum-conjunction ( cum lat. If, with, together with). This is explained by example formulas such as:

If it is not animated / A, then: at the same time as being non-rational / B, it is non-meaningful / C. And he is A. Consequently, at the same time that he is B, he is C. (Chap. II, Mode V)

This is also borrowed from Boethius (DHS 849 B): si sit a, cum sit b, est c / if a is, if (at the same time) b is c

Chapter IX, however, has other sources. The elementary hypothetical syllogisms presented there are part of the basic structure of logic handed down from antiquity. A brief representation can be found in Marcus Tullius Cicero 's Topica (§§54–57). Abbo von Fleury largely follows the work of Boethius In Topica Ciceronis Commentaria (ITC). He formulates the statements as examples, such as the well-known:

I.1 If he is human, he is a living being. But he is human. Hence he is a living being

but also more complicated:

III.8 Not: When she gave birth, she did not sleep with a man. But she gave birth. As a result, she slept with a man (also with Boethius ITC 1075C: si peperit, cum viro concubuit ).

Living on and tradition

This work by Abbo von Fleury was not widely received. Abelard dealt with the hypothetical syllogism in his Dialectica , but makes no reference to Abbo von Fleury; later there are no treatises on this subject in the textbooks of logic. Only a few manuscripts have survived and it was not until 1966 that the work was edited by Robert Raes. In 1997, Franz Schupp created an annotated edition with a translation into German.

expenditure

  • Franz Schupp: Abbo von Fleury: De syllogismis hypotheticis , Leiden / New York / Cologne 1997.

literature

Individual evidence

  1. ↑ Quote: Franz Schupp: Abbo von Fleury: De syllogismis hypotheticis , p. XXXI
  2. ↑ Michael Frede: The stoic logic , indices / job register
  3. ^ Franz Schupp: Abbo von Fleury: De syllogismis hypotheticis , introduction, p. X
  4. ^ Franz Schupp: Abbo von Fleury: De syllogismis hypotheticis , introduction, p. XXVf
  5. ↑ Michael Frede: The stoic logic , II, B, 3, disjunctive / conjunctive statement
  6. ↑ Michael Frede: The stoic logic , p. 131ff
  7. ^ Franz Schupp: Abbo von Fleury: De syllogismis hypotheticis , introduction, pp. XXVIIff
  8. ^ Franz Schupp: Abbo von Fleury: De syllogismis hypotheticis , S. VIf