Integrating Physical Constraints in Statistical Inference by 11-Month-Old Infants

Much research on cognitive development focuses either on early-emerging domain-specific knowledge or domain-general learning mechanisms. However, little research examines how these sources of knowledge interact. Previous research suggests that young infants can make inferences from samples to populations (Xu & Garcia, 2008) and 11- to 12.5-month-old infants can integrate psychological and physical knowledge in probabilistic reasoning (Teglas, Girotto, Gonzalez, & Bonatti, 2007; Xu & Denison, 2009). Here, we ask whether infants can integrate a physical constraint of immobility into a statistical inference mechanism. Results from three experiments suggest that, first, infants were able to use domain-specific knowledge to override statistical information, reasoning that sometimes a physical constraint is more informative than probabilistic information. Second, we provide the first evidence that infants are capable of applying domain-specific knowledge in probabilistic reasoning by using a physical constraint to exclude one set of objects while computing probabilities over the remaining sets.

[1]  A. Tversky,et al.  Judgment under Uncertainty: Heuristics and Biases , 1974, Science.

[2]  G. Miller,et al.  Cognitive science. , 1981, Science.

[3]  A. Leslie,et al.  Do six-month-old infants perceive causality? , 1987, Cognition.

[4]  E. Spelke,et al.  Origins of knowledge. , 1992, Psychological review.

[5]  E. Spelke Initial knowledge: six suggestions , 1994, Cognition.

[6]  Z. Nadasdy,et al.  Taking the intentional stance at 12 months of age , 1995, Cognition.

[7]  A. Woodward Infants selectively encode the goal object of an actor's reach , 1998, Cognition.

[8]  E. Spelke,et al.  Large number discrimination in 6-month-old infants , 2000, Cognition.

[9]  David M. Sobel,et al.  Causal learning mechanisms in very young children: two-, three-, and four-year-olds infer causal relations from patterns of variation and covariation. , 2001, Developmental psychology.

[10]  Jessica Maye,et al.  Infant sensitivity to distributional information can affect phonetic discrimination , 2002, Cognition.

[11]  E. Newport,et al.  Learning at a distance I. Statistical learning of non-adjacent dependencies , 2004, Cognitive Psychology.

[12]  S. Carey The Origin of Concepts , 2000 .

[13]  David M. Sobel,et al.  A theory of causal learning in children: causal maps and Bayes nets. , 2004, Psychological review.

[14]  A. Gopnik,et al.  Causal learning across domains. , 2004, Developmental psychology.

[15]  P. Cavanagh,et al.  The Capacity of Visual Short-Term Memory is Set Both by Visual Information Load and by Number of Objects , 2004, Psychological science.

[16]  L. Feigenson,et al.  Multiple Spatially Overlapping Sets Can Be Enumerated in Parallel , 2006, Psychological science.

[17]  David M. Sobel,et al.  Blickets and babies: the development of causal reasoning in toddlers and infants. , 2006, Developmental psychology.

[18]  J. Tenenbaum,et al.  Word learning as Bayesian inference. , 2007, Psychological review.

[19]  S. Stich,et al.  The Innate Mind: Foundations and the Future , 2007 .

[20]  Vittorio Girotto,et al.  Intuitions of probabilities shape expectations about the future at 12 months and beyond , 2007, Proceedings of the National Academy of Sciences.

[21]  T. Griffiths,et al.  NAÏVE THEORIES, AMBIGUOUS EVIDENCE Page 1 Running head: NAÏVE THEORIES AND AMBIGUOUS EVIDENCE Can being scared make your tummy ache? Naive theories, ambiguous evidence and preschoolers’ causal inferences , 2007 .

[22]  T. Griffiths,et al.  Can being scared cause tummy aches? Naive theories, ambiguous evidence, and preschoolers' causal inferences. , 2007, Developmental psychology.

[23]  David M. Sobel,et al.  Bayes nets and babies: infants' developing statistical reasoning abilities and their representation of causal knowledge. , 2007, Developmental science.

[24]  A. Gopnik,et al.  Conditional probability versus spatial contiguity in causal learning: Preschoolers use new contingency evidence to overcome prior spatial assumptions. , 2007, Developmental psychology.

[25]  Fei Xu Rational Statistical Inference and Cognitive Development , 2008 .

[26]  R. Baillargeon Innate Ideas Revisited: For a Principle of Persistence in Infants' Physical Reasoning , 2008, Perspectives on psychological science : a journal of the Association for Psychological Science.

[27]  Fei Xu,et al.  Intuitive statistics by 8-month-old infants , 2008, Proceedings of the National Academy of Sciences.

[28]  S. Denison,et al.  Statistical inference and sensitivity to sampling in 11-month-old infants , 2009, Cognition.

[29]  Robert M. Gonyea,et al.  Learning at a Distance : , 2009 .

[30]  H. Wellman,et al.  Young Children Use Statistical Sampling to Infer the Preferences of Other People , 2010, Psychological science.