Multiplication, addition, and subtraction in numerals: formal variation in Latin’s decads+ from an Indo-European perspective

Abstract

Abstract While formal variation in Latin’s numerals is generally acknowledged, little is known about (relative) incidence, distribution, context, or linguistic productivity. Addressing this lacuna, this article examines “decads+” in Latin, which convey the numbers between the full decads: the teens (‘eleven’ through ‘nineteen’) as well as the numerals between the higher decads starting at ‘twenty-one’ through ‘ninety-nine’. Latin’s decads+ are compounds and prone to variation. The data, which are drawn from a variety of sources, reveal (a) substantial formal variation in Latin, both internally and typologically; (b) co-existence of several types of formation; (c) productivity of potential borrowings; (d) resilience of early formations; (e) patterns in structure and incidence that anticipate the Romance numerals; and (f) historical trends. From a typological and general linguistic perspective as well, Latin’s decads+ are most relevant because their formal variation involves sequence, connector, and arithmetical operations and because their historical depth shows a gradual shift away from widespread formal variation, eventually resulting in the relatively rigid system found in Romance. Moreover, the combined system attested in decads+ in Latin – based on a combination of inherited, innovative and borrowed patterns and reflecting different stages of development – presents a number of typological inconsistencies that require further assessment.