TY - CHAP AB - In his discussion of early lexical development in children Barrett (1995) notes that utterances can be of the following types: an expression of an internal state, a response to a specific context, a social-pragmatic utterance and a referential utterance. A referential utterance can be thought of in the following way: the thing referred to, a mental representation, a word representation and a word sound. An utterance may refer to an object, an action, an attribute or an event. Some utterances are used as the names of classes of objects while other utterances are used as the proper names of individual objects. Looking at this in abstract we might say that, in the early years of childhood, language is used to refer to elements, sets, functions and relations – in other words to the mathematical structures which were discussed in Chapter 2. Of course although early language is used to refer to mathematical objects, the character of the language itself takes the form of ordinary language. VL - 15 SN - 978-1-84950-973-2, 978-1-84950-972-5/1572-8323 DO - 10.1108/S1572-8323(2010)0000015006 UR - https://doi.org/10.1108/S1572-8323(2010)0000015006 AU - Burt Gordon ED - Gordon Burt PY - 2010 Y1 - 2010/01/01 TI - Chapter 3 Mathematics, logic, artificial intelligence and ordinary language T2 - Conflict, Complexity and Mathematical Social Science T3 - Contributions to Conflict Management, Peace Economics and Development PB - Emerald Group Publishing Limited SP - 29 EP - 50 Y2 - 2024/09/22 ER -