Publications

Abstract

Reproduced with permission of Blackwell Publishing from: Levinson, S. C. (2004) 'Deixis'. In: Horn, L.R. and Ward, G. (Eds.) The Handbook of Pragmatics. Oxford: Blackwell Publishing, pp. 100-121

Abstract

Reprinted with permission of The MIT Press from Levinson (2000) Presumptive meanings: The theory of generalized conversational implicature, pp. 112-118, 116-167, 170-173, 177-180. MIT Press

Abstract

Yélî Dnye has two discernable dedicated constructions for reciprocal marking. The first and main construction uses a dedicated reciprocal pronoun numo, somewhat like English each other. We can recognise two subconstructions. First, the ‘numo-construction’, where the reciprocal pronoun is a patient of the verb, and where the invariant pronoun numo is obligatorily incorporated, triggering intransitivisation (e.g. A-NPs become absolutive). This subconstruction has complexities, for example in the punctual aspect only, the verb is inflected like a transitive, but with enclitics mismatching actual person/number. In the second variant or subconstruction, the ‘noko-construction’, the same reciprocal pronoun (sometimes case-marked as noko) occurs but now in oblique positions with either transitive or intransitive verbs. The reciprocal element here has some peculiar binding properties. Finally, the second independent construction is a dedicated periphrastic (or woni…woni) construction, glossing ‘the one did X to the other, and the other did X to the one’. It is one of the rare cross-serial dependencies that show that natural languages cannot be modelled by context-free phrase-structure grammars. Finally, the usage of these two distinct constructions is discussed.

Abstract

Reprint from Stephen C. Levinson, ‘Three Levels of Meaning’, in Frank Palmer (ed.), Grammar and Meaning: Essays in Honor of Sir John Lyons (Cambridge University Press, 1995), pp. 90–115

Abstract

Changing Prospects for Universals in Pragmatics
The term PRAGMATICS has come to denote the study of general principles of language use. It is usually understood to contrast with SEMANTICS, the study of encoded meaning, and also, by some authors, to contrast with SOCIOLINGUISTICS
and the ethnography of speaking, which are more concerned with local sociocultural practices. Given that pragmaticists come from disciplines as varied as philosophy, sociology,
linguistics, communication studies, psychology, and anthropology, it is not surprising that definitions of pragmatics vary. Nevertheless, most authors agree on a list of topics
that come under the rubric, including DEIXIS, PRESUPPOSITION,
implicature (see CONVERSATIONAL IMPLICATURE), SPEECH-ACTS, and conversational organization (see CONVERSATIONAL ANALYSIS). Here, we can use this extensional definition as a starting point (Levinson 1988; Huang 2007).

Abstract

How similar are reciprocal constructions in the semantic parameters they encode? We investigate this question by using an extensional approach, which examines similarity of meaning by examining how constructions are applied over a set of 64 videoclips depicting reciprocal events (Evans et al. 2004). We apply statistical modelling to descriptions from speakers of 20 languages elicited using the videoclips. We show that there are substantial differences in meaning between constructions of different languages.

Abstract

The goal of speech perception is understanding a speaker's message. To achieve this, listeners must recognize the words that comprise a spoken utterance. This in turn implies distinguishing these words from other minimally different words (e.g., word from bird, etc.), and this involves making phonemic distinctions. The article summarizes research on the perception of phonemic distinctions, on how listeners cope with the continuity and variability of speech signals, and on how phonemic information is mapped onto the representations of words. Particular attention is paid to theories of speech perception and word recognition.

Abstract

The present doctoral thesis investigates the temporal characteristics of the retrieval of semantic and syntactic word properties in language comprehension. In particular, an attempt is made to assess the retrieval order of semantic category and grammatical gender information, using the lateralized readiness potential and the inhibition-related N2 effect. Chapter 1 contains a general introduction. Chapter 2 reports an experiment that employs the two-choice go/nogo task in combination with EEG recordings to establish the retrieval order of semantic category and grammatical gender for written words presented in isolation. The results point to a time course where semantic information becomes available before syntactic information. Chapter 3 focuses on the retrieval of grammatical gender. In order to examine whether gender retrieval can be speeded up by context, nouns are presented in gender congruent and gender incongruent prime-target pairs and reaction times for gender decisions are measured. For stimulus onset asynchronies of 100 ms and 0 ms, gender congruent pairs show faster responses than incongruent ones, whereas there is no effect of gender congruity for a stimulus onset asynchrony of 300 ms. A simulation with a localist computational model that implements competition between gender representations (WEAVER; Roelofs, 1992) is able to capture these findings. In chapter 4, the gender congruency manipulation is transferred to another ERP experiment with the two-choice go/nogo task. As the time course of gender retrieval is altered through primes, the order relative to semantic category retrieval is assessed again. The results indicate that with gender congruent primes, grammatical gender becomes available before semantic category. Such a reversal of retrieval order, as compared to chapter 2, implies a parallel rather than a serial discrete arrangement of the retrieval processes, since the latter variant precludes changes in retrieval order. Finally, chapter 5 offers a summary and general discussion of the main findings.

Abstract

This paper reports the results of a study on the prosodic marking of broad and contrastive focus in three language varieties of which two are in contact: bilingual Peruvian Spanish, Quechua and Peninsular Spanish. An interactive communicative task revealed that the prosodic marking of contrastive focus was limited in all three language varieties. No systematic correspondence was observed between specific contour/accent types and focus, and the phonetic marking of contrastive focus was weak and restricted to phrase-final position. Interestingly, we identified two contours for bilingual Peruvian Spanish that were present in Quechua, but not in Peninsular Spanish, providing evidence for a prosodic transfer from Quechua to Spanish in Quechua-Spanish bilinguals.

Abstract

Can studying left- and right-handers inform us about cognition? In this chapter, we give an overview of research showing that studying left- and right-handers is informative for understanding the way the brain is organized (i.e., lateralized), as there appear to be differences between left- and right-handers in this respect, but also on the behavioral level handedness studies can provide new insights. According to theories of embodied cognition, our body can influence cognition. Given that left- and right-handers use their bodies differently, this might reflect their performance on an array of cognitive tasks. Indeed, handedness can have an influence on, for instance, what side of space we judge as more positive, the way we gesture, how we remember things, and how we learn new words. Laterality research can, therefore, provide valuable information as to how we act and why

Abstract

This dissertation documents the emergence of a new language, Light Warlpiri, in the multilingual community of Lajamanu in northern Australia. It then examines the acquisition of Light Warlpiri language, and of the heritage language, Lajamanu Warlpiri, by children. Light Warlpiri has arisen from contact between Lajamanu Warlpiri (a Pama-Nyungan language), Kriol (an English-based creole), and varieties of English. It is a Mixed Language, meaning that none of its source languages can be considered to be the sole parent language. Most verbs and the verbal morphology are from Aboriginal English or Kriol, while most nouns and the nominal morphology are from Warlpiri. The language input to children is complex. Adults older than about thirty speak Lajamanu Warlpiri and code-switch into Aboriginal English or Kriol. Younger adults, the parents of the current cohort of children, speak Light Warlpiri and code-switch into Lajamanu Warlpiri and into Aboriginal English or Kriol. Lajamanu Warlpiri and Light Warlpiri, the two main input languages to children, both indicate A arguments with ergative case-marking (and they share one allomorph of the marker), but Lajamanu Warlpiri includes the marker much more consistently than Light Warlpiri. Word order is variable in both languages. Children learn both languages from birth, but they target Light Warlpiri as the language of their everyday interactions, and they speak it almost exclusively until four to six years of age. Adults and children show similar patterns of ergative marking and word order in Light Warlpiri. But differences between age groups are found in ergative marking in Lajamanu Warlpiri - for the oldest group of adults, ergative marking is obligatory, but for younger adults and children, it is not. Determining when children differentiate between two input languages has been a major goal in the study of bilingual acquisition. The two languages in this study share lexical and grammatical properties, making distinctions between them quite subtle. Both adults and children distribute ergative marking differently in the two languages, but show similar word order patterns in both. However the children show a stronger correlation between ergative marking and word order patterns than do the adults, suggesting that they are spearheading processes of language change. In their comprehension of sentences in both Lajamanu Warlpiri and Light Warlpiri, adults use a case-marking strategy to identify the A argument (i.e. N+erg = A argument, N-erg = O argument). The children are not adult-like in using this strategy at age 5, when they also used a word order strategy, but they gradually move towards being adult-like with increased age.

Abstract

Demonstrative terms (e.g., this and that) are key items in understanding how a language constructs and interprets spatial relationships. This in-depth questionnaire explores how demonstratives (and similar spatial deixis forms) function in the research language, covering such topics as their morphology and syntax, semantic dimensions, and co-occurring gesture practices. Questionnaire responses should ideally be based on natural, situated discourse as well as elicitation with consultants.

Abstract

What are the preferred ways to describe spatial relationships in different linguistic and cultural groups, and how does this interact with non-linguistic spatial awareness? This game was devised as an interactive supplement to several items that collect information on the encoding and understanding of spatial relationships, especially as relevant to “route descriptions”. This is a director-matcher task, where one consultant has access to stimulus materials that shows a “target” situation, and directs another consultant (who cannot see the target) to recreate this arrangement.

Abstract

Neste artigo fazemos uma revisão breve de investigações actuais com técnicas comportamentais e de neuroimagem funcional sobre a aprendizagem de uma linguagem artificial em crianças e adultos. Na secção final, discutimos uma possível associação entre dislexia e aprendizagem implícita. Resultados recentes sugerem que a presença de um défice ao nível da aprendizagem implícita pode contribuir para as dificuldades de leitura e escrita observadas em indivíduos disléxicos.

Abstract

Literacy and education represent essential aspects of contemporary society and subserve important aspects of socialization and cultural transmission. The study of illiterate subjects represents one approach to investigate the interactions between neurobiological and cultural factors in cognitive development, individual learning, and their influence on the functional organization of the brain. In this chapter we review some recent cognitive, neuroanatomic, and functional neuroimaging results indicating that formal education influences important aspects of the human brain. Taken together this provides strong support for the idea that the brain is modulated by literacy and formal education, which in turn change the brains capacity to interact with its environment, including the individual's contemporary culture. In other words, the individual is able to participate in, interact with, and actively contribute to the process of cultural transmission in new ways through acquired cognitive skills.

Abstract

This paper explores the semantics of the dative in Tashelhiyt, a Berber language from Morocco. After a brief morphosyntactic overview of the dative in this language, I identify a wide range of its semantic roles, including possessor, experiencer, distributive and unintending causer. I arrange these roles in a semantic map and propose semantic links between the roles such as metaphorisation and generalisation. In the light of the Tashelhiyt data, the paper also proposes additions to previous semantic maps of the dative (Haspelmath 1999, 2003) and to Kittilä’s 2005 typology of beneficiary coding.

Abstract

This paper identifies four reciprocal construction types in Khoekhoe (Central Khoisan). After a brief description of the morphosyntax of each construction, semantic factors governing their choice are explored. Besides lexical semantics, the number of participants, timing of symmetric subevents, and symmetric conceptualisation are shown to account for the distribution of the four partially competing reciprocal constructions.

Abstract

This paper offers some thoughts on the question what effect language has on the understanding and hence behavior of a human being. It reviews some issues of linguistic relativity, known as the “Sapir-Whorf hypothesis,” suggesting that the culture we grow up in is reflected in the language and that our cognition (and our worldview) is shaped or colored by the conventions developed by our ancestors and peers. This raises questions for the degree of translatability, illustrated by the comparison of two poems by a Dutch poet who spent most of his life in the USA. Mutual understanding, I claim, is possible because we have the cognitive apparatus that allows us to enter different emic systems.

Abstract

A aquisição de competências de leitura e de escrita pode ser vista como um processo formal de transmissão cultural, onde interagem factores neurobiológicos e culturais. O treino sistemático exigido pela aprendizagem da leitura e da escrita poderá produzir mudanças quantitativas e qualitativas tanto a nível cognitivo como ao nível da organização do cérebro. Estudar sujeitos iletrados e letrados representa, assim, uma oportunidade para investigar efeitos de uma aprendizagem específica no desenvolvimento cognitivo e suas bases cerebrais. Neste trabalho, revemos um conjunto de investigações comportamentais e com métodos de imagem cerebral que indicam que a literacia tem um impacto nas nossas funções cognitivas e na organização cerebral. Mais especificamente, discutiremos diferenças entre letrados e iletrados para domínios cognitivos verbais e não-verbais, sugestivas de que a arquitectura cognitiva é formatada, em parte, pela aprendizagem da leitura e da escrita. Os dados de neuroimagem funcionais e estruturais são também indicadores que a aquisição de uma ortografia alfabética interfere nos processos de organização e lateralização das funções cognitivas.

Abstract

The acquisition of second language (L2) syntax has been central to the study of L2 acquisition, but recently there has been an interest in how learners apply their L2 syntactic knowledge to the input in real-time comprehension. Investigating L2 learners’ moment-by-moment syntactic analysis during listening or reading of sentence as it unfolds — their parsing of the input — is important, because language learning involves both the acquisition of knowledge and the ability to use it in real time. Using methods employed in monolingual processing research, investigations often focus on the processing of temporary syntactic ambiguities and structural dependencies. Investigating ambiguities involves examining parsing decisions at points in a sentence where there is a syntactic choice and this can offer insights into the nature of the parsing mechanism, and in particular, its processing preferences. Studying the establishment of syntactic dependencies at the critical point in the input allows for an investigation of how and when different kinds of information (e.g., syntactic, semantic, pragmatic) are put to use in real-time interpretation. Within an L2 context, further questions are of interest and familiar from traditional L2 acquisition research. Specifically, how native-like are the parsing procedures that L2 learners apply when processing the L2 input? What is the role of the learner’s first language (L1)? And, what are the effects of individual factors such as age, proficiency/dominance and working memory on L2 parsing? In the current paper I will provide an overview of the findings of some experimental research designed to investigate these questions.

Abstract

This paper describes the syntax and semantics of reciprocity in the Central dialect of Rotokas, a non-Austronesian (Papuan) language spoken in Bougainville, Papua New Guinea. In Central Rotokas, there are three main reciprocal construction types, which differ formally according to where the reflexive/reciprocal marker (ora-) occurs in the clause: on the verb, on a pronominal argument or adjunct, or on a body part noun. The choice of construction type is determined by two considerations: the valency of the verb (i.e., whether it has one or two core arguments) and whether the reciprocal action is performed on a body part. The construction types are compatible with a wide range of the logical subtypes of reciprocity (strong, melee, chaining, etc.).

Abstract

Functional Magnetic Resonance Imaging (fMRI) and Electropencephalography (EEG) are the two techniques that are most often used to study the working brain. With the first technique we use the MRI machine to measure where in the brain the supply of oxygenated blood increases as result of an increased neural activity with a high precision. The temporal resolution of this measure however is limited to a few seconds. With EEG we measure the electrical activity of the brain with millisecond precision by placing electrodes on the skin of the head. We can think of the EEG signal as a signal that consists of multiple superimposed frequencies that vary their strength over time and when performing a cognitive task. Since we measure EEG at the level of the scalp, it is difficult to know where in the brain the signals exactly originate from. For about a decade we are able to measure fMRI and EEG at the same time, which possibly enables us to combine the superior spatial resolution of fMRI with the superior temporal resolution of EEG. To make this possible, we need to understand how the EEG signal is related to the fMRI signal, which is the central theme of this thesis. The main finding in this thesis is that increases in the strength of EEG frequencies below 30 Hz are related to a decrease in the fMRI signal strength, while increases in the strength of frequencies above 40 Hz is related to an increase in the strength of the fMRI signal. Changes in the strength of the low EEG frequencies are however are not coupled to changes in high frequencies. Changes in the strength of low and high EEG frequencies therefore contribute independently to changes in the fMRI signal.

Abstract

This research investigated developmental changes in children’s representations of large-scale environments as reflected in spontaneous gestures and speech produced during route descriptions Four-, five-, and six-year-olds (N = 122) described the route from their nursery school to their own homes. Analysis of the children’s gestures showed that some 5- and 6-year-olds produced gestures that represented survey mapping, and they were categorized as a survey group. Children who did not produce such gestures were categorized as a route group. A comparison of the two groups revealed no significant differences in speech indices, with the exception that the survey group showed significantly fewer right/left terms. As for gesture, the survey group produced more gestures than the route group. These results imply that an initial form of survey-map representation is acquired beginning at late preschool age.

Abstract

This paper presents preliminary remarks on some of the central linguistic means speakers of Kilivila use in expressing their conceptions of space and for referring to objects, persons, and events in space . After a brief characterisation of the language and its speakers, I sketch how specific topological relations are encoded, how motion events are described, and what frames of spatial reference are preferred in what contexts for what means and ends.

Abstract

This paper describes how the Trobriand Islanders of Papua New Guinea used to construct their big seagoing masawa canoes and how they used to make their sails, what forms of different knowledge and expertise they needed to do this during various stages of the construction processes, how this knowledge was socially distributed, and the social implications of all the joint communal activities that were necessary until a new canoe could be launched. Then it tries to answer the question why the complex distributed knowledge of how to make a masawa has been gradually getting lost in most of the village communities on the Trobriand Islands; and finally it outlines and discusses the implications of this loss for the Trobriand Islanders' culture, for their social construction of reality, and for their indigenous cognitive capacities.

Abstract

The Trobriand Islanders of Papua New Guinea differentiate and label in their language Kilivila genres and varieties or registers which are constituted by these genres. The documentation and analysis of these varieties and genres reveals how important it is to understand these metalinguistic differentiations. The cultural and verbal competence which is necessary to adequately interact with the Trobriander Islanders is based on the understanding of the indigenous text typology and the Trobriand Islanders' culture specific ways of speaking.

Abstract

This entry takes an interdisciplinary approach to linguistic pragmatics. It discusses how the meaning of utterances can only be understood in relation to overall cultural, social, and interpersonal contexts, as well as to culture-specific conventions and the speech events in which they are embedded. The entry discusses core issues of pragmatics such as speech act theory, conversational implicature, deixis, gesture, interaction strategies, ritual communication, phatic communion, linguistic relativity, ethnography of speaking, ethnomethodology, and conversation analysis. It takes a transdisciplinary view of the field, showing that linguistic pragmatics has its predecessors in other disciplines such as philosophy, psychology, ethology, ethnology, and sociology.

Abstract

Kilivila is one of the languages of the world that lacks dedicated reciprocal forms. After a short introduction the paper briefly shows how reciprocity is either not expressed at all, is only implicated in an utterance, or expressed periphrastically.

Abstract

1. Introduction 2. A generative grammar as an algorithm 3. The semantic component 4. Bibliography 1. Introduction Throughout the 20th century up to the present day grammar and semantics have been uneasy bedfellows. A look at the historical background will make it clear how this curious situation came about. 20th-century linguistics has been characterized by an almost exclusive concern with the structure of words, word groups and sentences. This concern was reinforced, especially on the American side of the Atlantic, by the sudden rise and subsequent dominance of behaviorism during the 1920s. It started in psychology but quickly permeated all the human sciences, including linguistics, until the early 1960s, when it collapsed as suddenly as it had arisen.

Abstract

Presupposition is a semantic device built into natural language to make sentences fit for use in certain contexts but not in others. A sentence carrying a presupposition thus evokes a context in which that presupposition is fulfilled. The study of presupposition was triggered by the behavior of natural language negation, which tends to preserve presuppositions either as invited inferences or as entailments. As the role of discourse became more apparent in semantics, presupposition began to be seen increasingly as a discourse-semantic phenomenon with consequences for the logic of language.

Abstract

The property of presuppositions to be sometimes preserved through embeddings, albeit often in a weakened form, is called projection. The projection problem consists in formulating the conditions under which the presuppositions of an embedded clause (a) are kept as presuppositions of the superordinate structure, or (b) remain as an invited inference that can be overruled by context, or (c) are canceled. Over the past 25 years it has been recognized that the projection problem is to be solved in the context of a wider theory of presupposition and discourse incrementation.

Abstract

Logic was discovered by Aristotle when he saw that the semantic behavior of the negation word not is different in sentences with a definite and in those with a quantified subject term. Until the early 20th century, logic remained firmly language-based, but for the past century it has been mainly a tool in the hands of mathematicians, which has meant an alienation from linguistic reality. With the help of new techniques, it is now possible to revert to the logic of language, which is seen as based on a semantic analysis of the logical words (constants) involved. This new perspective, combined with much improved insights into the semantically defined discourse dependency of natural language sentences, leads to a novel and more functionally oriented approach to logic and to a reappraisal of traditional predicate calculus, whose main fault, undue existential import, evaporates when discourse dependency, in particular the presuppositional aspect, is brought into play. Traditional predicate calculus is seen to have a much greater logical power and a much greater functionality than modern predicate calculus. There is also full isomorphism, neglected in modern logic, between traditional predicate calculus and propositional calculus, which raises the question of any possible deeper causes.

Abstract

Virtual objects are objects thought up by a thinking individual. Although 20th-century philosophy has tried to ban them from ontology, they make it impossible to account for the truth of sentences such as Apollo was worshipped in the island of Delos, in which a property is assigned to the nonexisting, virtual entity Apollo. Such facts are the reason why virtual objects are slowly being recognized again.

Abstract

Aristotle's importance in the professional study of language consists first of all in the fact that he demythologized language and made it an object of rational investigation. In the context of his theory of truth as correspondence, he also provided the first semantic analysis of propositions in that he distinguished two main constituents, the predicate, which expresses a property, and the remainder of the proposition, referring to a substance to which the property is assigned. That assignment is either true or false. Later, the ‘remainder’ was called subject term, and the Aristotelian predicate was identified with the verb in the sentence. The Aristotelian predicate, however, is more like what is now called the ‘comment,’ whereas his remainder corresponds to the topic. Aristotle, furthermore, defined nouns and verbs as word classes. In addition, he introduced the term ‘case’ for paradigmatic morphological variation.

Abstract

Some predicates are ‘factive’ in that they induce the presupposition that what is said in their subordinate that clause is true.

Abstract

The term ‘donkey sentences’ derives from the medieval philosopher Walter Burleigh, whose example sentences contain mention of donkeys. The modern philosopher Peter Geach rediscovered Burleigh's sentences and the associated problem. The problem is that natural language anaphoric pronouns are sometimes used in a way that cannot be accounted for in terms of modern predicate calculus. The solution lies in establishing a separate category of anaphoric pronouns that refer via the intermediary of a contextually given antecedent, possibly an existentially quantified expression.

Abstract

A discourse domain D is a form of middle-term memory for the storage of the information embodied in the discourse at hand. The information carried by a new utterance u is added to D (u is incremented to D). The processes involved and the specific structure of D are a matter of ongoing research.

Abstract

Discourse semantics (DSx) is based on the fact that the interpretation of uttered sentences is dependent on and co-determined by the information stored in a specialized middle-term cognitive memory called discourse domain (D). DSx studies the structure and dynamics of Ds and the conditions to be fulfilled by D for proper interpretation. It does so in the light of the truth-conditional criteria for semantics, with an emphasis on intensionality phenomena. It requires the assumption of virtual entities and virtual facts. Any model-theoretic interpretation holds between discourse structures and pre-established verification domains.

Abstract

Aristotle's importance in the professional study of language consists first of all in the fact that he demythologized language and made it an object of rational investigation. In the context of his theory of truth as correspondence, he also provided the first semantic analysis of propositions in that he distinguished two main constituents, the predicate, which expresses a property, and the remainder of the proposition, referring to a substance to which the property is assigned. That assignment is either true or false. Later, the ‘remainder’ was called subject term, and the Aristotelian predicate was identified with the verb in the sentence. The Aristotelian predicate, however, is more like what is now called the ‘comment,’ whereas his remainder corresponds to the topic. Aristotle, furthermore, defined nouns and verbs as word classes. In addition, he introduced the term ‘case’ for paradigmatic morphological variation.

Abstract

There is a growing awareness among theoretical linguists and philosophers of language that the linguistic definition of lexical meanings, which must be learned when one learns a language, underdetermines not only full utterance interpretation but also sentence meaning. The missing information must be provided by cognition – that is, either general encyclopedic or specific situational knowledge. This fact crucially shows the basic insufficiency of current standard model-theoretic semantics as a paradigm for the analysis and description of linguistic meaning.

Abstract

The lexical conditions, also known as satisfaction conditions, of a predicate P are the conditions that must be satisfied by the term referents of P for P applied to these term referents to yield a true sentence. In view of presupposition theory it makes sense to distinguish two categories of lexical conditions, the preconditions that must be satisfied for the sentence to be usable in any given discourse, and the update conditions which must be satisfied for the sentence to yield truth.

Abstract

The widely prevailing view that standard bivalent logic is the only possible sound logical system, imposed by metaphysical necessity, has been shattered by the development of multivalent logics during the 20th century. It is now clear that standard bivalent logic is merely the minimal representative of a wide variety of viable logics with any number of truth values. These viable logics can be subdivided into families. In this article, the Kleene family and the PPCn family are subjected to special examination, as they appear to be most relevant for the study of the logical properties of human language.