scholarly journals Do non-verbal number systems shape grammar? Numerical cognition and Number morphology compared

2018 ◽  
Vol 34 (1) ◽  
pp. 37-58 ◽  
Author(s):  
Francesca Franzon ◽  
Chiara Zanini ◽  
Rosa Rugani
Keyword(s):  
Numerical Cognition ◽  
Shape Grammar ◽  
Number Systems

Sounding the depths at the confluence of numerosity and language

2015 ◽  
Vol 1 (1) ◽  
Author(s):  
Caleb Everett
Keyword(s):  
Recent Work ◽  
Numerical Cognition ◽  
Number Words ◽  
Number Systems ◽  
The Relationship

AbstractResearchers in a variety of disciplines are currently exploring how number words and other culturally variant symbols for quantities enable and enhance numerical cognition. In this article I survey the ways in which fieldwork among Amazonian languages is helping to elucidate the relationship between numerical cognition and language. I highlight several noteworthy findings in recent work on this topic, address their implications, and also consider the potential of future fieldwork on languages with typologically remarkable number systems.

scholarly journals Constructing a Concept of Number

2021 ◽  
Author(s):  
Karenleigh A. Overmann
Keyword(s):  
Numerical Cognition ◽  
Explanatory Power ◽  
Two Dimensional ◽  
Multiple Forms ◽  
Distributed Objects ◽  
Content Structure ◽  
Contemporary Research ◽  
Number Systems ◽  
And Behaviors

Numbers are concepts whose content, structure, and organization are influenced by the material forms used to represent and manipulate them. Indeed, as argued here, it is the inclusion of multiple forms (distributed objects, fingers, single- and two-dimensional forms like pebbles and abaci, and written notations) that is the mechanism of numerical elaboration. Further, variety in employed forms explains at least part of the synchronic and diachronic variability that exists between and within cultural number systems. Material forms also impart characteristics like linearity that may persist in the form of knowledge and behaviors, ultimately yielding numerical concepts that are irreducible to and functionally independent of any particular form. Material devices used to represent and manipulate numbers also interact with language in ways that reinforce or contrast different aspects of numerical cognition. Not only does this interaction potentially explain some of the unique aspects of numerical language, it suggests that the two are complementary but ultimately distinct means of accessing numerical intuitions and insights. The potential inclusion of materiality in contemporary research in numerical cognition is advocated, both for its explanatory power, as well as its influence on psychological, behavioral, and linguistic aspects of numerical cognition.

scholarly journals Constructing a concept of number

2018 ◽  
Vol 4 (2) ◽  
pp. 464-493 ◽  
Author(s):  
Karenleigh A. Overmann
Keyword(s):  
Numerical Cognition ◽  
Explanatory Power ◽  
Two Dimensional ◽  
Multiple Forms ◽  
Distributed Objects ◽  
Content Structure ◽  
Contemporary Research ◽  
Number Systems ◽  
And Behaviors

Numbers are concepts whose content, structure, and organization are influenced by the material forms used to represent and manipulate them. Indeed, as argued here, it is the inclusion of multiple forms (distributed objects, fingers, single- and two-dimensional forms like pebbles and abaci, and written notations) that is the mechanism of numerical elaboration. Further, variety in employed forms explains at least part of the synchronic and diachronic variability that exists between and within cultural number systems. Material forms also impart characteristics like linearity that may persist in the form of knowledge and behaviors, ultimately yielding numerical concepts that are irreducible to and functionally independent of any particular form. Material devices used to represent and manipulate numbers also interact with language in ways that reinforce or contrast different aspects of numerical cognition. Not only does this interaction potentially explain some of the unique aspects of numerical language, it suggests that the two are complementary but ultimately distinct means of accessing numerical intuitions and insights. The potential inclusion of materiality in contemporary research in numerical cognition is advocated, both for its explanatory power, as well as its influence on psychological, behavioral, and linguistic aspects of numerical cognition.

scholarly journals Materiality and the Prehistory of Number

2019 ◽  
pp. 432-456 ◽  
Author(s):  
Karenleigh A. Overmann
Keyword(s):  
Perceptual Experience ◽  
Concept Formation ◽  
Numerical Cognition ◽  
Demographic Factors ◽  
Cross Cultural ◽  
Archaeological Evidence ◽  
Textual Evidence ◽  
Number Systems ◽  
Numerical Development ◽  
Insight Into

Modern humans produce number systems with striking cross-cultural similarities. Understanding prehistoric numerical cognition, however, addressed in this chapter, requires looking at when cognitive prerequisites emerged—morphological factors like parietal encephalization; abilities like quantity perception, language, concept formation and manipulation, categorization, and ordinality; and demographic factors suggesting societal motivations for numerical development. These establish the “probably not before” timeline for numerical emergence. The question is then approached from the earliest emergence of unambiguous numbers in Mesopotamia, clay tokens used in the late fourth millennium, and subsequent numerical notations. With tokens and notations, the archaeological and textual evidence of precursor technologies such as tallies and fingers forms a sequence capable of elaborating the innate perceptual experience of quantity into simple counting sequences and complex mathematics. Along with the cognitive prerequisites, the sequence of material forms also provides insight into potential archaeological evidence (material forms and demographic factors) that might indicate numerical emergence in prehistoric times.

scholarly journals Materiality and the Prehistory of Number

2021 ◽  
Author(s):  
Karenleigh A. Overmann
Keyword(s):  
Perceptual Experience ◽  
Concept Formation ◽  
Numerical Cognition ◽  
Demographic Factors ◽  
Cross Cultural ◽  
Archaeological Evidence ◽  
Textual Evidence ◽  
Number Systems ◽  
Numerical Development ◽  
Insight Into

Modern humans produce number systems with striking cross-cultural similarities. Understanding prehistoric numerical cognition, however, requires looking at when cognitive prerequisites emerged: morphological factors like parietal encephalization; abilities like quantity perception, language, concept formation and manipulation, categorization, and ordinality; and demographic factors suggesting societal motivations for numerical development. These establish the “probably not before” timeline for numerical emergence. The question is then approached from the earliest emergence of unambiguous numbers in Mesopotamia, clay tokens used in the late 4th millennium and subsequent numerical notations. With tokens and notations, the archaeological and textual evidence of precursor technologies like tallies and fingers form a sequence capable of elaborating the innate perceptual experience of quantity into simple counting sequences and complex mathematics. Along with the cognitive prerequisites, the sequence of material forms also provides insight into potential archaeological evidence (material forms and demographic factors) that might indicate numerical emergence in prehistoric times.

Comparative and developmental approach to studying nonverbal numerical cognition

2006 ◽  
Author(s):  
Elizabeth M. Brannon ◽  
Jessica F. Cantlon ◽  
Sara Cordes ◽  
Kerry E. Jordan ◽  
Evan L. MacLean ◽  
...  
Keyword(s):  
Numerical Cognition ◽  
Developmental Approach

The Effects of Numerical Divisibility on Loneliness Perceptions and Consumer Preferences

2020 ◽  
Author(s):  
Dengfeng Yan ◽  
Jaideep Sengupta
Keyword(s):  
Numerical Cognition ◽  
Consumer Preferences ◽  
Product Categories ◽  
Relative Preference ◽  
Compensatory Consumption

Abstract This research seeks to examine, first, whether and why consumers perceive divisible versus indivisible numbers differently and, second, how such divergent perceptions influence consumer preferences for marketer-created entities associated with divisible versus indivisible numbers. Integrating insights from two different literatures—numerical cognition and loneliness—we propose and find that numbers perceived to be divisible (vs. indivisible) are viewed as having more “connections” and are therefore deemed to be less lonely. Building on these findings and the literature on compensatory consumption, we then propose and demonstrate that a temporary feeling of loneliness increases participants’ relative preference for various targets—products, attributes, and prices—associated with divisible (vs. indivisible) numbers, which are perceived to be relatively more connected and less lonely. It merits mention that our findings are triangulated across a wide variety of numbers, different product categories, and multiple operationalizations of loneliness.

Negative Based Number Systems

1979 ◽  
Vol 52 (4) ◽  
pp. 240 ◽  
Author(s):  
William J. Gilbert ◽  
R. James Green
Keyword(s):  
Number Systems
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