The ‘bat and ball’ is one of the problems most frequently employed as a testbed for research on the dual-system hypothesis of reasoning. Frederick (J Econ Perspect 19:25–42, 2005) is the first to envisage the possibility that different numerical arrangements of the ‘bat and ball’ problem could lead to different dynamics of activation of the dual-system, and so to different performances of subjects in task accomplishment. This possibility has triggered a strand of research oriented to accomplish ‘sensitivity analyses’ of the (...) ‘bat and ball’ problem. The scope of this paper is to test experimentally the specific hypothesis that numerals are responsible for the selective activation of the two systems of reasoning in this task. In particular, we argue that their role goes beyond and cannot be reduced to that of numbers conceived as magnitudes. To test our hypothesis, we devise an experimental setting in which the role of numbers (as magnitudes) is rendered irrelevant. We find experimental results consistent with our hypothesis. We further provide a link between the literature on mathematical problem-solving and that on mathematical cognition research, in particular that branch labeled embodied mathematical cognition. (shrink)

This paper explores the effect of different types of incubation task (visual, numerical and verbal) with various levels of attentional focus and cognitive effort (non-demanding, low-demanding and high-demanding) on the resolution of insight problems. The most effective was found to be the low-demanding task (regardless of its nature), which although requiring attentional focus, leaves resources available for the unconscious analytical restructuring process, obtaining a high percentage of success in solving the problem shortly after completion of the incubation task. Overall findings (...) support the hypothesis of Unconscious Analytic Thought (UAT), according to which the restructuring required in insight problem solving implies a covert thinking process that includes a relevant, analytic and goal-oriented search. The findings are discussed in the light of UAT and are compared with the main theories of insight in problem solving. (shrink)

The pigeonhole principle is a well-known mathematical principle and is quite simple to understand. It goes as follows: If n items are placed into m containers, and if m (...) an identifier (nominal). They suggest quantities first need to be turned into categories. We believe this difference can instead be explained by pragmatic factors not taken into account in their study. We disambiguate the problems given to participants and study the effects of their disambiguation and the influence of different kinds of quantities: countable and mass. We show that using a problem with countable quantities instead of hair, usually understood as non-countable, increase the performance of participants, no longer distinguishable from that of the nominal problem. (shrink)

In our view, the way of thinking involved in insight problem solving is very close to the process involved in the understanding of an utterance, when a misunderstanding occurs. In this case, a more appropriate meaning has to be selected to resolve the misunderstanding , the default interpretation has to be dropped in order to “restructure”, to grasp another meaning which appears more relevant to the context and the speaker's intention. A new conception of unconscious, implicit thought emerges, informed by (...) relevance. In this article we support our view with experimental evidence, focusing on how a misunderstanding is formed. We have explored two problems, in which a trivial arithmetical task is represented as an insight problem and vice versa. Studying how an insight problem is formed, and not just how it is solved, may well become an important topic in the contemporary debate on thought. (shrink)

1. False information takes many shapes. While misinformation has long been a feature of conveying the human experience to others, the rise of the internet and social media has created conditions in...

The study of insight problem solving could well become one of the most important topics in the contemporary debate on thought. Dealing with insight problems today requires of necessity reconsidering the concept of bounded rationality. Simon’s work has inspired us to reflect on the specific quality of the type of boundaries which, by limiting the search, allow and guarantee the act of creativity; finding the solution to insight problems is emblematic of this creativity and provides a paradigmatic case. According to (...) Simon, the solution to insight problems requires a search for an alternative space. He considered the “Notice Invariants Heuristic” to be a powerful tool for focusing this search which must always be guided by salience. Therefore, in the case of insight problems the heuristic is not a weak method of solving problems; indeed, it is the only way, an innovative and creative approach to reach the solution. In our view, the solution to these problems is not attained by abstraction, but only by a pertinent interpretation of the context (interpretative heuristic) in the light of the goal, allowing the problem solver to abandon the default representation. We therefore propose that this interpretative heuristic is inherent to all insight problem solving processes and, in more general terms, is an adaptive characteristic of the human cognitive system; this of course implies that the dual process theory will have to be challenged and discussed. (shrink)

In this paper, Knetsch's exchange paradigm is analyzed from the perspective of pragmatics and social norms. In this paradigm the participant, at the beginning of the experiment, receives an object from the experimenter and at the end, the same experimenter offers to exchange the received object for an equivalent object. The observed refusal to exchange is called the endowment effect. We argue that this effect comes from an implicature made by the participant about the experimenter's own expectations. The participant perceives (...) the received item as a gift, or as a present, from the experimenter that cannot be exchanged as stipulated by the social norms of western politeness common to both the experimenter and the participant. This implicature, however, should not be produced by participants from Kanak culture for whom the perceived gift of a good will be interpreted as a first act of exchange based on gift and counter-gift. This exchange is a natural, frequent, balanced, and indispensable act for all Kanak social bonds whether private or public. Kanak people also know the French social norms that they apply in their interactions with French people living in New Caledonia. In our experiment, we show that when the exchange paradigm takes place in a French context, with a French experimenter and in French, the Kanak participant is subject to the endowment effect in the same way as a French participant. On the other hand, when the paradigm is carried out in a Kanak context, with a Kanak experimenter and in the vernacular language, or in a Kanak context that approaches the ceremonial of the custom, the endowment effect is no longer observed. The same number of Kanak participants accept or refuse to exchange the endowed item. These results, in addition to providing a new explanation for the endowment effect, highlight the great flexibility of decisions according to social-cultural context. (shrink)