[4.4.3] Abelard on Language and Signification

In different works (Logica ‘ingredientibus’, Dialectica), Peter Abelard ( “Doctor Scholasticus”, 1079?-1142 AD) elaborated his philosophy of language, sustaining, that:

  • words can be names (taken in a broad sense), and verbs
  • sentences are compound of names connected by the special connective force of verbs,
  • signification is the subjective informational content generated in a person’s mind when he/she hears a word or sentence.

Abelard’s model of language and significaton is presented in the following OntoUML diagram:

Abelard on language and signification
ClassDescriptionRelations
WordWord (voces), or  ‘utterances’ – pronounced or written words in a given language.in material relation with Concept and Thing
Name“Abelard takes names to be conventionally significant simple words, usually without tense. So understood there are a wide variety of names: proper and common names; adjectives and adverbs; pronouns, whether personal, possessive, reflexive, or relative; conventional interjections such as “Goodness!”; and, arguably, conjunctions and prepositions (despite lacking definite signification), along with participles and gerundives (which have tense). […]. In point of fact, much of Abelard’s discussion of the semantics of names turns on a particular case that stands for the rest: common names. “subkind of Word; non-exclusive part of Sentence
Verb“What holds for the semantics of names applies for the most part to verbs. The feature that sets verbs apart from names, more so than tense or grammatical person, is that verbs have connective force (vis copulativa). This is a primitive and irreducible feature of verbs that can only be discharged when they are joined with names in the syntactically appropriate way”subkind of Word; non-exclusive part of Sentence
ConnectiveForce“verbs have connective force (vis copulativa)”characterizes Verb
Conceptconcept is an idea applied to all objects in a group. It is the way people see and understand something., e.g., they grasp the Status of the individual things in the group referred by the Word (see [4.4.1]).
SignificationSignification is the informational content generated in a person’s mind when he/she hears a word or sentence.exclusive part of the Person’sMind
SignificationOfTermsignification of term is posterior to reference, [words] names do have signification as well. Abelard holds that the signification of a term is the informational content of the concept that is associated with the term upon hearing it, in the normal course of events. Since names are only conventionally significant, which concept is associated with a given name depends in part on the psychological conditioning of language-users, in virtue of which Abelard can treat signification as both a causal and a normative notion: the word ‘rabbit’ ought to cause native speakers of English to have the concept of a rabbit upon hearing it. Abelard is careful to insist that the signification is a matter of the informational content carried in the concept—mere psychological associations, even the mental images characteristic of a given concept, are not part of what the word means. Ideally, the concept will correspond to a real definition that latches onto the nature of the thing, the way ‘rational mortal animal’ is thought to be the real definition of ‘human being’, regardless of other associated features (even necessary features such as risibility) or fortuitous images (as any mental image of a human will be of someone with determinate features). Achieving such clarity in our concepts is, of course, an arduous business, and requires an understanding of how understanding itself works […]). Yet one point should be clear from the example. The significations of some names, such as those corresponding to natural-kind terms, are ‘abstractions’ in the sense that they include only certain features of the things to which the term refers. They do not positively exclude all other features, though, and are capable of further determinate specification: ‘rational mortal animal’ as the content of the concept of ‘human being’ signifies all humans, whatever their further features may be—tall or short, fat or thin, male or female, and so on.”mediates between Word and Concept; inherits from Signification
SignificationOfSentenceSignification of sentences (propositiones): “must signify more than just the understandings of the constituent name and verb. First, a sentence such as “Socrates runs” deals with Socrates and with running, not with anyone’s understandings. We talk about the world, not merely someone’s understanding of the world. Second, sentences like “If something is human, it is an animal” are false if taken to be about understandings, for someone could entertain the concept human without entertaining the concept animal, and so the antecedent would obtain without the consequent. Third, understandings are evanescent particulars, mere mental tokenings of concepts. But at least some consequential sentences are necessary, and necessity can’t be grounded on things that are transitory, and so not on understandings. Sentences must therefore signify something else in addition to understandings, something that can do what mere understandings cannot. Abelard describes this as signifying what the sentence says, calling what is said by the sentence its dictum (plural dicta).”inherits from Signification
SentenceSentences are made up of names and verbs in such a way that the meaning of the whole sentence is a function of the meaning of its parts. That is, Abelardian semantics is fundamentally compositional in nature. The details of how the composition works are complex. Abelard works directly with a natural language (Latin) that, for all its artificiality, is still a native second tongue. Hence there are many linguistic phenomena Abelard is compelled to analyze that would be simply disallowed in a more formal framework.
For example, Abelard notes that most verbs can occur as predicates in two ways, namely as a finite verbal form or as a nominal form combined with an auxiliary copula, so that we may say either “Socrates runs” or “Socrates is running”; the same holds for transitive predication, for instance “Socrates hits Plato” and “Socrates is hitting Plato.” Abelard argues that in general the pure verbal version of predication is the fundamental form, which explains and clarifies the extended version; the latter is only strictly necessary where simple verbal forms are lacking. (The substantive verb ‘is’ requires special treatment.) Hence for Abelard the basic analysis of a predicative statement recognizes that two fundamentally different linguistic categories are joined together: the name n and the simple verbal function V( ), combined in the well-formed sentence V(n).”
has SignificationOf
Sentence
Referencereference (nominatio), a matter of what the term applies to.” […]
“A name ‘has a definition in the nature of its imposition, even if we do not know what it is.’ Put in modern terms, Abelard holds a theory of direct reference, in which the extension of a term is not a function of its sense. We are often ‘completely ignorant’ of the proper conceptual content that should be associated with a term that has been successfully imposed.”
mediates between Word and Thing
Person’sIntellectThe intellect of the person, who hears the word/sentence.
ThingThing

Sources

  • All citations from: King, Peter and Arlig, Andrew, “Peter Abelard”The Stanford Encyclopedia of Philosophy (Fall 2018 Edition), Edward N. Zalta (ed.)
  • Harjeet Singh Gill, “The Abelardian Tradition of Semiotics”, Conference Adress, 1993

First published: 06/08/2020

[4.4.2] Abelard on Logic

Peter Abelard (“Doctor Scholasticus”, 1079?-1142 AD), in his work Logica Ingredientibus, introduced some novel ideas in the domain of logic:

  • the distinction between force and content of a proposition
  • the concept of entailment (inferentia), which is necessary for each argument.

Abelard’s main concepts of logic is presented in the following OntoUML diagram:

ClassDescriptionRelations
ArgumentArguments relates two (or more) Premises to a Conclusion. According to Abelard, it has to be characterized by entailment, meaning that the connection between the propositions involved to be both necessary and relevant.mediates between Premise and Conclusion
Entailment“The key to the theory of argument, for Abelard, is found in inferentia, best rendered as ‘entailment’ since Abelard requires the connection between the propositions involved to be both necessary and relevant. That is, the conclusion—more exactly, the sense of the final statement—is required by the sense of the preceding statement(s), so that it cannot be otherwise. Abelard often speaks of the sense of the final statement being ‘contained’ in the sense of the preceding statement(s), much as we speak of the conclusion being contained in the premisses.”characterizes Argument
Relevant, Necessary “Abelard requires the connection between the propositions involved to be both necessary and relevant.”characterizes Entailment
IncompleteEntailment“There is another way in which conclusions can be necessary and relevant to their premisses, yet not be formally valid (not be a complete entailment). The necessary connection among the propositions, and the link among their senses, might be a function of non-formal metaphysical truths holding in all possible worlds. For instance, human beings are a kind of animal, so the consequence ‘If Socrates is a human being, Socrates is an animal’ holds of necessity and the sense of the antecedent compels that of the consequent, but it is not formally valid under uniform substitution. Abelard takes such incomplete entailments to hold according to the theory of the topics (to be forms of so-called topical inference). The sample inference above is validated by the topic “from the species”, a set of metaphysical relations one of which is expressible in the rule “Whatever the species is predicated of, so too is the genus” which grounds the inferential force of the entailment. Against Boethius, Abelard maintained that topical rules were only needed for incomplete entailment, and in particular are not required to validate the classical moods of the categorical and hypothetical syllogism mentioned in the preceding paragraph.”
(see also [2.7.2])
is subkind of Entailment
CompleteEntailment“An entailment is complete (perfecta) when it holds in virtue of the logical form (complexio) of the propositions involved. By this, Abelard tells us, he means that the entailment holds under any uniform substitution in its terms, the criterion now associated with Bolzano. The traditional four figures and moods of the categorical syllogism derived from Aristotle, and the doctrine of the hypothetical syllogism derived from Boethius, are all instances of complete entailments, or as we should say, valid inference.”is subkind of Entailment
PropositionA proposition is a sentence with a truth-value (true or false).
WordProposition is made up of words.is non-exlusive part of Proposition
PremisePremise is a previous proposition from which another is entails or follows as a conclusion.is subkind of Proposition; in material relation with Conclusion
ConclusionConclusion is a proposition which follows from a premise as result of an entailment.is subkind of Proposition
Force“Abelard observes that the same propositional content can be expressed with different force in different contexts: the content that Socrates is in the house is expressed in an assertion in ‘Socrates is in the house’; in a question in ‘“Is Socrates in the house?’; in a wish in ‘If only Socrates were in the house!’ and so on. Hence Abelard can distinguish in particular the assertive force of a sentence from its propositional content, a distinction that allows him to point out that the component sentences in a conditional statement are not asserted, though they have the same content they do when asserted— ‘If Socrates is in the kitchen, then Socrates is in the house’ does not assert that Socrates is in the kitchen or that he is in the house, nor do the antecedent or the consequent, although the same form of words could be used outside the scope of the conditional to make such assertions.” characterizes Proposition
Content“Abelard can distinguish in particular the assertive force of a sentence from its propositional content.”characterizes Proposition

Related posts: [1.3.9], [2.2.4], [2.7.2], [3.3.5]

Sources

  • All citations from: King, Peter and Arlig, Andrew, “Peter Abelard”The Stanford Encyclopedia of Philosophy (Fall 2018 Edition), Edward N. Zalta (ed.)

First published: 30/06/2020