Almoammer, Alhanouf, Jessica Sullivan, Chirs Donlan, Franc Marušic, Rok Žaucer, Timothy O’Donnell and David Barner. 2013. Grammatical morphology as a source of early number word meanings. Proceedings of the National Academy of Sciences 110. 18448–18453.

Almoammer, Alhanouf, Jessica Sullivan, Chirs Donlan, Franc Marušic, Rok Žaucer, Timothy O’Donnell and David Barner. 2013. Grammatical morphology as a source of early number word meanings. Proceedings of the National Academy of Sciences 110. 18448–18453.)| false
• Search Google Scholar
• Export Citation

Barner, David, Amanda Libenson, Pierina Cheung and Mayu Takasaki. 2009. Crosslinguistic relations between quantifiers and numerals in language acquisition: Evidence from Japanese. Journal of Experimental Child Psychology 103. 421–440.

Barner, David, Amanda Libenson, Pierina Cheung and Mayu Takasaki. 2009. Crosslinguistic relations between quantifiers and numerals in language acquisition: Evidence from Japanese. Journal of Experimental Child Psychology 103. 421–440.)| false
• Search Google Scholar
• Export Citation

Bell, Eric Temple. 1937. Men of mathematics. New York: Simon and Schuster.

Bell, Eric Temple. 1937. Men of mathematics. New York: Simon and Schuster.)| false
• Search Google Scholar
• Export Citation

Benacerraf, Paul. 1965. What numbers could not be. Philosophical Review 74. 47–73.

Benacerraf, Paul. 1965. What numbers could not be. Philosophical Review 74. 47–73.)| false
• Search Google Scholar
• Export Citation

Carey, S. 2009. The origin of concepts. Oxford: Oxford University Press.

Carey, S. 2009. The origin of concepts. Oxford: Oxford University Press.)| false
• Search Google Scholar
• Export Citation

Cheng, Lisa and Rint Sybesma. 2005. Classifiers in four varieties of Chinese. In G. Cinque and R. S. Kayne (eds.) The Oxford handbook of comparative syntax. Oxford: Oxford University Press. 259–292.

Cheng, Lisa and Rint Sybesma. 2005. Classifiers in four varieties of Chinese. In G. Cinque and R. S. Kayne (eds.) The Oxford handbook of comparative syntax. Oxford: Oxford University Press. 259–292.)| false
• Search Google Scholar
• Export Citation

Cheung, Pierina, Miriam Rubenson and David Barner. 2017. To infinity and beyond: Children generalize the successor function to all possible numbers years after learning to count. Cognitive Psychology 92. 22–36.

Cheung, Pierina, Miriam Rubenson and David Barner. 2017. To infinity and beyond: Children generalize the successor function to all possible numbers years after learning to count. Cognitive Psychology 92. 22–36.)| false
• Search Google Scholar
• Export Citation

Chomsky, Noam. 2008. On phases. In R. Freidin, C. P. Otero and M. L. Zubizarreta (eds.) Foundational issues in linguistic theory. Essays in honor of Jean-Roger Vergnaud. Cambridge, MA: MIT Press. 134–166.

Chomsky, Noam. 2008. On phases. In R. Freidin, C. P. Otero and M. L. Zubizarreta (eds.) Foundational issues in linguistic theory. Essays in honor of Jean-Roger Vergnaud. Cambridge, MA: MIT Press. 134–166.)| false
• Search Google Scholar
• Export Citation

Chomsky, Noam and Howard Lasnik. 1993. The theory of principles and parameters. In J. Jacobs, A. von Stechow, W. Sternefeld and T. Vennemann (eds.) Syntax: An international handbook of contemporary research. Vol. 1. Berlin & New York: Mouton de Gruyter. 506–569.

Chomsky, Noam and Howard Lasnik. 1993. The theory of principles and parameters. In J. Jacobs, A. von Stechow, W. Sternefeld and T. Vennemann (eds.) Syntax: An international handbook of contemporary research. Vol. 1. Berlin & New York: Mouton de Gruyter. 506–569.)| false
• Search Google Scholar
• Export Citation

Chrisomalis, S. 2010. Numerical notation: A comparative history. Cambridge: Cambridge University Press.

Chrisomalis, S. 2010. Numerical notation: A comparative history. Cambridge: Cambridge University Press.)| false
• Search Google Scholar
• Export Citation

Cohen Kadosh, Roi and Ann Dowker (eds.). 2015. Oxford handbook of numerical cognition. Oxford: Oxford University Press.

Cohen Kadosh, Roi and Ann Dowker (eds.). 2015. Oxford handbook of numerical cognition. Oxford: Oxford University Press.)| false
• Search Google Scholar
• Export Citation

Dehaene, Stanislas. 1997. The number sense. Oxford: Oxford University Press.

Dehaene, Stanislas. 1997. The number sense. Oxford: Oxford University Press.)| false
• Search Google Scholar
• Export Citation

É. Kiss 2010. Structural focus and exhaustivity. In M. Zimmermann and C. Féry (eds.) Information structure. Theoretical, typological and experimental perspectives. Oxford: Oxford University Press. 64–88.

É. Kiss 2010. Structural focus and exhaustivity. In M. Zimmermann and C. Féry (eds.) Information structure. Theoretical, typological and experimental perspectives. Oxford: Oxford University Press. 64–88.)| false
• Search Google Scholar
• Export Citation

Feigenson, Lisa, Stanislas Dehaene and Elizabeth Spelke. 2004. Core systems of number. Trends in Cognitive Sciences 8. 307–314.

Feigenson, Lisa, Stanislas Dehaene and Elizabeth Spelke. 2004. Core systems of number. Trends in Cognitive Sciences 8. 307–314.)| false
• Search Google Scholar
• Export Citation

Frank, Michael C., Daniel L. Everett, Evelina Fedorenko and Edward Gibson. 2008. Number as a cognitive technology: Evidence from Pirahã language and cognition. Cognition 108. 819–824.

Frank, Michael C., Daniel L. Everett, Evelina Fedorenko and Edward Gibson. 2008. Number as a cognitive technology: Evidence from Pirahã language and cognition. Cognition 108. 819–824.)| false
• Search Google Scholar
• Export Citation

Fuson, Karen C. 1988. Children’s counting and concepts of number. New York: Springer- Verlag.

Fuson, Karen C. 1988. Children’s counting and concepts of number. New York: Springer- Verlag.)| false
• Search Google Scholar
• Export Citation

Gelman, Rochel and Charles Randy Gallistel. 1978. The child’s understanding of number. Cambridge, MA: Harvard University Press.

Gelman, Rochel and Charles Randy Gallistel. 1978. The child’s understanding of number. Cambridge, MA: Harvard University Press.)| false
• Search Google Scholar
• Export Citation

George, Alexander and Daniel J. Velleman. 2002. Philosophies of mathematics. Malden, MA & Oxford: Blackwell.

George, Alexander and Daniel J. Velleman. 2002. Philosophies of mathematics. Malden, MA & Oxford: Blackwell.)| false
• Search Google Scholar
• Export Citation

Giaquinto, Marcus. 2015. Philosophy of number. In Cohen Kadosh & Dowker (2015, 17–31).

Giaquinto, Marcus. 2015. Philosophy of number. In Cohen Kadosh & Dowker (2015, 17–31).)| false
• Search Google Scholar
• Export Citation

Gunderson, Elizabeth A. and Susan Levine. 2011. Some types of parent number talk count more than others: Relations between parents’ input and children’s cardinal-number knowledge. Developmental Science 14. 1021–1032.

Gunderson, Elizabeth A. and Susan Levine. 2011. Some types of parent number talk count more than others: Relations between parents’ input and children’s cardinal-number knowledge. Developmental Science 14. 1021–1032.)| false
• Search Google Scholar
• Export Citation

Gunderson, Elizabeth A., Elizabet Spaenen, Dominic Gibson, Susan Goldin-Meadow and Susan C. Levine. 2015. Gesture as a window onto children’s number knowledge. Cognition 144. 14–28.

Gunderson, Elizabeth A., Elizabet Spaenen, Dominic Gibson, Susan Goldin-Meadow and Susan C. Levine. 2015. Gesture as a window onto children’s number knowledge. Cognition 144. 14–28.)| false
• Search Google Scholar
• Export Citation

Hilbert, David. 1983. On the infinite. In P. Benacerraf and H. Putnam (eds.) Philosophy of mathematics (2nd ed.). Cambridge: Cambridge University Press. 183–201.

Hilbert, David. 1983. On the infinite. In P. Benacerraf and H. Putnam (eds.) Philosophy of mathematics (2nd ed.). Cambridge: Cambridge University Press. 183–201.)| false
• Search Google Scholar
• Export Citation

Hiraiwa, Ken. 2016. The faculty of language and core systems of number. Manuscript. Meiji Gakuin University/MIT.

Hiraiwa, Ken. 2016. The faculty of language and core systems of number. Manuscript. Meiji Gakuin University/MIT.)| false
• Search Google Scholar
• Export Citation

Huang, Yi Ting, Elizabeth Spelke and Jesse Snedeker. 2013. What exactly do numbers mean? Language Learning and Development 9. 105–129.

Hurford, James R. 1975. The linguistic theory of numerals. Cambridge: Cambridge University Press.

Hurford, James R. 1975. The linguistic theory of numerals. Cambridge: Cambridge University Press.)| false
• Search Google Scholar
• Export Citation

Hurford, James R. 2001. Languages treat 1–4 specially. Mind and Language 16. 69–75.

Hurford, James R. 2001. Languages treat 1–4 specially. Mind and Language 16. 69–75.)| false
• Search Google Scholar
• Export Citation

Ito, Junko and Armin Mester. 2015. Sino-Japanese phonology. In H. Kubozono (ed.) Handbook of Japanese phonetics and phonology. Berlin: de Gruyter Mouton. 289–312.

Ito, Junko and Armin Mester. 2015. Sino-Japanese phonology. In H. Kubozono (ed.) Handbook of Japanese phonetics and phonology. Berlin: de Gruyter Mouton. 289–312.)| false
• Search Google Scholar
• Export Citation

Kayne, Richard S. 1994. The antisymmetry of syntax. Cambridge, MA: MIT Press.

Kayne, Richard S. 1994. The antisymmetry of syntax. Cambridge, MA: MIT Press.)| false
• Search Google Scholar
• Export Citation

Kayne, Richard S. 2010. Comparisons and contrasts. Oxford: Oxford University Press.

Kayne, Richard S. 2010. Comparisons and contrasts. Oxford: Oxford University Press.)| false
• Search Google Scholar
• Export Citation

Kayne, Richard S. 2013. Why are there no directionality parameters? Studies in Chinese Linguistics 34. 3–37.

Kayne, Richard S. 2013. Why are there no directionality parameters? Studies in Chinese Linguistics 34. 3–37.)| false
• Search Google Scholar
• Export Citation

Kayne, Richard S. 2016. Some thoughts on one and two and other numerals. Manuscript. New York University.

Kayne, Richard S. 2016. Some thoughts on one and two and other numerals. Manuscript. New York University.)| false
• Search Google Scholar
• Export Citation

Kennedy, Christpher. 2013. A scalar semantics for scalar readings of number words. In I. Caponigro and C. Cecchetto (eds.) From grammar to meaning: The spontaneous logicality of language. Cambridge: Cambridge University Press. 172–200.

Kennedy, Christpher. 2013. A scalar semantics for scalar readings of number words. In I. Caponigro and C. Cecchetto (eds.) From grammar to meaning: The spontaneous logicality of language. Cambridge: Cambridge University Press. 172–200.)| false
• Search Google Scholar
• Export Citation

Le Corre, Mathieu and Susan Carey. 2007. One, two, three, four, nothing more: An investigation of the conceptual sources of the verbal counting principles. Cognition 105. 395–438.

Le Corre, Mathieu and Susan Carey. 2007. One, two, three, four, nothing more: An investigation of the conceptual sources of the verbal counting principles. Cognition 105. 395–438.)| false
• Search Google Scholar
• Export Citation

Le Corre, Mathieu, Peggy Li, Becky H. Huang, Gisela Jia and Susan Carey. 2016. Numerical morphology supports early number word learning: Evidence from a comparison of young Mandarin and English learners. Cognitive Psychology 88. 162–186.

Le Corre, Mathieu, Peggy Li, Becky H. Huang, Gisela Jia and Susan Carey. 2016. Numerical morphology supports early number word learning: Evidence from a comparison of young Mandarin and English learners. Cognitive Psychology 88. 162–186.)| false
• Search Google Scholar
• Export Citation

Le Corre, Mathieu, Gretchen Van de Walle, Elizabeth M. Brannon and Susan Carey. 2006. Re-visiting the competence/performance debate in the acquisition of the counting principles. Cognitive Psychology 52. 130–169.

Le Corre, Mathieu, Gretchen Van de Walle, Elizabeth M. Brannon and Susan Carey. 2006. Re-visiting the competence/performance debate in the acquisition of the counting principles. Cognitive Psychology 52. 130–169.)| false
• Search Google Scholar
• Export Citation

Lipton, Jennifier S. and Elizabeth S. Spelke. 2006. Preschool children master the logic of number word meanings. Cognition 98. B57–B66.

Lipton, Jennifier S. and Elizabeth S. Spelke. 2006. Preschool children master the logic of number word meanings. Cognition 98. B57–B66.)| false
• Search Google Scholar
• Export Citation

Lobeck, Anne. 1995. Ellipsis: Functional heads, licensing, and identification. Oxford: Oxford University Press.

Lobeck, Anne. 1995. Ellipsis: Functional heads, licensing, and identification. Oxford: Oxford University Press.)| false
• Search Google Scholar
• Export Citation

Menninger, Karl. 1969. Number words and number symbols. Cambridge, MA: MIT Press.

Menninger, Karl. 1969. Number words and number symbols. Cambridge, MA: MIT Press.)| false
• Search Google Scholar
• Export Citation

Merchant, Jason. 2001. The syntax of silence. Oxford: Oxford University Press.

Merchant, Jason. 2001. The syntax of silence. Oxford: Oxford University Press.)| false
• Search Google Scholar
• Export Citation

Merchant, Jason. 2004. Fragments and ellipsis. Linguistics and Philosophy 27. 661–738.

Merchant, Jason. 2004. Fragments and ellipsis. Linguistics and Philosophy 27. 661–738.)| false
• Search Google Scholar
• Export Citation

Nieder, Andreas. 2016. Representing something out of nothing: The dawning of zero. Trends in Cognitive Sciences 20. 830–842.

Nieder, Andreas. 2016. Representing something out of nothing: The dawning of zero. Trends in Cognitive Sciences 20. 830–842.)| false
• Search Google Scholar
• Export Citation

Okamoto, Yukari. 2015. Mathematics learning in the USA and Japan. In Cohen Kadosh & Dowker (2015, 415–429).

Okamoto, Yukari. 2015. Mathematics learning in the USA and Japan. In Cohen Kadosh & Dowker (2015, 415–429).)| false
• Search Google Scholar
• Export Citation

Overmann, Karenleigh A., Thomas Wynne and Frederick L. Coolidge. 2011. The prehistory of number concept. Behavioral and Brain Sciences 34. 142–144.

Overmann, Karenleigh A., Thomas Wynne and Frederick L. Coolidge. 2011. The prehistory of number concept. Behavioral and Brain Sciences 34. 142–144.)| false
• Search Google Scholar
• Export Citation

Piantadosi, Steven T., Julian Jara-Ettinger and Edward Gibson. 2014. Children’s learning of number words in an indigenous farming-foraging group. Developmental Science 17. 553–563.

Piantadosi, Steven T., Julian Jara-Ettinger and Edward Gibson. 2014. Children’s learning of number words in an indigenous farming-foraging group. Developmental Science 17. 553–563.)| false
• Search Google Scholar
• Export Citation

Piantadosi, Steven T., Joshua B. Tenebaum and Noah D. Goodman. 2012. Bootstrapping in a language of thought: A formal model of numerical concept learning. Cognition 123. 199–217.

Piantadosi, Steven T., Joshua B. Tenebaum and Noah D. Goodman. 2012. Bootstrapping in a language of thought: A formal model of numerical concept learning. Cognition 123. 199–217.)| false
• Search Google Scholar
• Export Citation

Pollmann, Thijs. 2003. Some principles involved in the acquisition of number words. Language Acquisition 11. 1–31.

Pollmann, Thijs. 2003. Some principles involved in the acquisition of number words. Language Acquisition 11. 1–31.)| false
• Search Google Scholar
• Export Citation

Rips, Lance J., Amber Bloomfield and Jennifer Asmuth. 2008. From numerical concepts to concepts of number. Behavioral and Brain Sciences 31. 623–642.

Rips, Lance J., Amber Bloomfield and Jennifer Asmuth. 2008. From numerical concepts to concepts of number. Behavioral and Brain Sciences 31. 623–642.)| false
• Search Google Scholar
• Export Citation

Sarnecka, Barbara W. to appear. Learning to represent exact numbers. Synthese.

Sarnecka, Barbara W., Valentina G. Kamenskaya, Yuko Yamana, Tamiko Ogura and Yulia B. Yudovina. 2007. From grammatical number to exact numbers: Early meanings of ‘one’, ‘two’, and ‘three’ in English, Russian, and Japanese. Cognitive Psychology 55. 136–168.

Sarnecka, Barbara W., Valentina G. Kamenskaya, Yuko Yamana, Tamiko Ogura and Yulia B. Yudovina. 2007. From grammatical number to exact numbers: Early meanings of ‘one’, ‘two’, and ‘three’ in English, Russian, and Japanese. Cognitive Psychology 55. 136–168.)| false
• Search Google Scholar
• Export Citation

Thornton, Rosalind. 2010. Verb phrase ellipsis in children’s answers to questions. Language Learning and Development 6. 1–31.

Thornton, Rosalind. 2010. Verb phrase ellipsis in children’s answers to questions. Language Learning and Development 6. 1–31.)| false
• Search Google Scholar
• Export Citation

Wagner, Katie, Katherine Kimura, Pierina Cheung and David Barner. 2015. Why is number word learning hard? Evidence from bilingual learners. Cognitive Psychology 83. 1–21.

Wagner, Katie, Katherine Kimura, Pierina Cheung and David Barner. 2015. Why is number word learning hard? Evidence from bilingual learners. Cognitive Psychology 83. 1–21.)| false
• Search Google Scholar
• Export Citation

Watanabe, Akira. 2010. Vague quantity, numerals, and natural numbers. Syntax 13. 37–77.

Watanabe, Akira. 2010. Vague quantity, numerals, and natural numbers. Syntax 13. 37–77.)| false
• Search Google Scholar
• Export Citation

Watanabe, Akira. 2014. 1-deletion: Measure nouns vs. classifiers. Proceedings of Japanese/ Korean Linguistics 22. 245–260.

Watanabe, Akira. 2014. 1-deletion: Measure nouns vs. classifiers. Proceedings of Japanese/ Korean Linguistics 22. 245–260.)| false
• Search Google Scholar
• Export Citation

Wynn, Karen. 1990. Children’s understanding of counting. Cognition 36. 155–193.

Wynn, Karen. 1990. Children’s understanding of counting. Cognition 36. 155–193.)| false
• Search Google Scholar
• Export Citation

Wynn, Karen. 1992. Children’s acquisition of the number words and the counting system. Cognitive Psychology 24. 220–251.

Wynn, Karen. 1992. Children’s acquisition of the number words and the counting system. Cognitive Psychology 24. 220–251.)| false
• Search Google Scholar
• Export Citation

Yamamoto, Kasumi. 2005. The acquisition of numeral classifiers: The case of Japanese children. Berlin & New York: Mouton de Gruyter.

Yamamoto, Kasumi. 2005. The acquisition of numeral classifiers: The case of Japanese children. Berlin & New York: Mouton de Gruyter.)| false
• Search Google Scholar
• Export Citation

Zhang, Niina Ning. 2014. Expressing number productively in Mandarin Chinese. Linguistics 52. 1–34.

Zhang, Niina Ning. 2014. Expressing number productively in Mandarin Chinese. Linguistics 52. 1–34.)| false
• Search Google Scholar
• Export Citation