Beck presents an outline of the procedure of bootstrapping of integer concepts, with the purpose of explicating the account of Carey. According to that theory, integer concepts are acquired through a process of inductive and analogous reasoning based on the object tracking system, which allows individuating objects in a parallel fashion. Discussing the bootstrapping theory, Beck dismisses what he calls the "deviant-interpretation challenge"—the possibility that the bootstrapped integer sequence does not follow a linear progression after some point—as being general to (...) any account of inductive learning. While the account of Carey and Beck focuses on the OTS, in this paper I want to reconsider the importance of another empirically well-established cognitive core system for treating numerosities, namely the approximate number system. Since the ANS-based account offers a potential alternative for integer concept acquisition, I show that it provides a good reason to revisit the deviant-interpretation challenge. Finally, I will present a hybrid OTS-ANS model as the foundation of integer concept acquisition and the framework of enculturation as a solution to the challenge. (shrink)

Carey’s (2009) account of bootstrapping in developmental psychology has been criticized out of a lack of theoretical precision and because of its alleged circularity (Rips et al. 2013, Cognition 128 (3): 320–330; Fodor 2010, Times Literary Supplement, 7–8; Rey 2014, Mind & Language 29 (2): 109–132). In this paper, we respond to these criticisms by connecting the debate on bootstrapping with recent accounts of conceptual creativity in philosophy of science. Specifically, we build on Nersessian’s (2010) hybrid-models-based theory of scientific conceptual (...) change to develop a refined model of bootstrapping. The key explanatory feature of this model, which we will call hybrid bootstrapping, is the iterated hybridization of different representational domains. We show how hybrid bootstrapping can answer two major critiques that have been leveled against Carey’s account: the circularity challenge and the specification challenge. (shrink)