[2.7.2] Boethius on Topical Logic

The area of topical logic, – like many others – was founded by Aristotle in his work “Topics”, and continued by Cicero and Boethius, whose work exercised an enormous influence on medieval logic.
The aim of topical logic is to provide a practical heuristic method for finding credible, plausible (not necessarily true) arguments which can be used in situations where persuasion is needed, e.g. in a legal process. Boethius, in his book “On Topical Differentiae” presents topical arguments in a quasi-syllogistic structure, thus finding a good argument is identifying the middle term which links the extremes (see [1.3.9]).

The following OntoUML diagram presents the main concepts in the Topical Logic of Boethius (477-525 AD):

Boethius on topical logic
ClassDescription Relations
TopicTopic (locus) can be Differentiae and Maximal Sentences.
DifferentiaeTopical Differentiae are the common, caracteristic, distinctive feature, which classifies the Arguments, and the MaximalSentences also.
Boethius lists over 30 Differentiae, like:
“from the lesser”
“from an efficient cause”
“definition”

A Differentiae is assotiated with at least one MaximalSentence; and with 0, 1 or many Arguments
MaximalSenteceMaximal Sentence (maxima propositio) is a Topic which is somehow shown to be universal or readily plausible. This way “will help to suggest exactly what sort of argument can be made using the differentia in question”, gives power to the Argument.
E.g. for the Differentiae “from an efficient cause” he lifts the following Maximal Sentences:
“Those tings who have a natural efficient cause are themselves also natural.”
– “Where there is the cause, the effect cannot be ansent.”
– “Everything should be considered according to its causes.”
ArgumentArguments are credible, acceptable inferences, whose premises can be valid, or commonly accepted, (not necessarily valid) assertions (see [1.3.9]). Each Argument contains a MiddleTerm
MiddleTermSee in [1.3.9] also: The term shared by the premises is the Middle Term. MiddleTerm is are a role of a Term
TermSee in [1.3.9] also: Subjects and predicates of Arguments are Terms which can be either individual, e.g. Socrates, or universal, e.g. human. Subjects may be individual or universal, but predicates can only be universals.

The UML activity diagram below shows the heuristic process of topical logic:

Boethius: heuristics of topical logic

Sources

  • All citations from: Marenbon, John, Boethius, Oxford University Press, 2003
  • Case presented in Activity Diagram from: Marenbon, John, “Anicius Manlius Severinus Boethius”The Stanford Encyclopedia of Philosophy (Winter 2016 Edition), Edward N. Zalta

First published: 27/06/2019

[2.7.1] Boethius Semiotics

Boethius (477-525 AD), in his comments on the Aristotelian opus Peri hermeneias treats the relations between things, mental concepts, spoken words, and written words. These semiotic elements are forming an ontological chain of dependence, called by Boethius “order of speaking” (ordo orandi), and also a chain of signification:

Chain of dependenceChain of signification
Without existence of things, there would be no mental concepts.
Things can exist without mental concepts.
Mental concepts signify things.
Without existence of mental concepts, there would be no spoken words.
Mental concepts can exist without spoken words.
Spoken words signify mental concepts.
Without existence of spoken words, there would be no written words.
Spoken words can exist without written words.
Written words signify spoken words.

The OntoUML diagram below shows the main semiotic elements in the order of speaking:

Boethius semiotics
ClassDescriptionRelations
ThingThing, (res) or external object.Assotiation with ends of 1:0..1 showing that Thing is necessary while MentalConcept is contingent.
MentalConceptMental Concept (passiones, intellectus): “It is, just like the Augustinian mental word… transidiomatic or even non-linguistic mental concepts which are, as Aristotle has claimed, the same for all men.”Assotiation with ends of 1:0..* showing that MentalConcept is necessary while SpokenWord is contingent, and can have more instances depending on language.
ConventionConvention: Boethius, as Aristotle [1.3.3] thinks that MentalConcepts are linked to SpokenWords by convention in a specific language.
SpokenWordSpokenWord (voces) Assotiation with ends of 1:0..1 showing that SpokenWord is necessary while WrittenWord is contingent.
WrittenWordWrittenWord (scripta)

Sources

  • All citations from: Meier-Oeser, Stephan, “Medieval Semiotics“, The Stanford Encyclopedia of Philosophy (Summer 2011 Edition), Edward N. Zalta (ed.)
  • Nöth , Winfried: Handbook of Semiotics, Indiana University Press, 1990

First published: 20/06/2019