Understanding logical connectives : a comparative study of language influence
Operators called 'logical connectives' convey in a precise way the logical relationships between truth functional propositions and hence determine what can be inferred from them. Mathematical reasoning therefore relies heavily on their use. Whilst the operators are free of ambiguity, this is not so for the linguistic items (called 'linguistic connectives') by which they are codified. In English, at least, there is a widely reported mismatch between the logical concepts and the 'meanings' of the linguistic connectives with which they are frequently identified. This study compares the provision for expressing logical concepts in Japanese, Arabic and English and seeks to ascertain to what extent the problems reported for English are generalisable to the other two languages. It also aims to establish whether the concepts underlying certain logical connectives are 'more readily available' or 'better established' in the speakers of one or other of these languages and, if so, whether this can be attributed to differing provision in the lexicon. Two experiments were carried out using as subjects adults who were native speakers of either English, Japanese or Arabic. One was designed to determine to what extent the
Garnier, Rowan Patricia
Culture, Communication and Media
Understanding logical connectives : a comparative study of language influence. Operators called 'logical connectives' convey in a precise way the logical relationships between truth functional propositions and hence determine what can be inferred from them. Mathematical reasoning therefore relies heavily on their use. Whilst the operators are free of ambiguity, this is not so for the linguistic items (called 'linguistic connectives') by which they are codified. In English, at least, there is a widely reported mismatch between the logical concepts and the 'meanings' of the linguistic connectives with which they are frequently identified. This study compares the provision for expressing logical concepts in Japanese, Arabic and English and seeks to ascertain to what extent the problems reported for English are generalisable to the other two languages. It also aims to establish whether the concepts underlying certain logical connectives are 'more readily available' or 'better established' in the speakers of one or other of these languages and, if so, whether this can be attributed to differing provision in the lexicon. Two experiments were carried out using as subjects adults who were native speakers of either English, Japanese or Arabic. One was designed to determine to what extent the
logical connective comparative_study language influence call logical connective convey precise way logical relationship truth functional proposition hence determine infer them mathematical reason therefore relies heavily use whilst operator free ambiguity linguistic item call linguistic connective codify english least widely report mismatch logical concept meanings linguistic connective frequently identify study compare provision express logical concept japanese arabic_english seek_ascertain extent problem report english two_language also aim_establish whether concept underlie certain logical connective more readily available better establish speaker language whether attribute differ provision lexicon carry use subject adult native_speaker either english japanese arabic design determine_extent