This book presents a philosophical interpretation to numerical cognition based on dual process theories and heuristics. It shows how investigations in cognitive science can shed light on issues traditionally raised by philosophers of mathematics. The analysis will also help readers to better understand the relationship between current neuroscientific research and the philosophical reflection on mathematics. The author seeks to explain the acquisition of mathematical concepts. To accomplish this, he needs to answer two questions. How can the concepts of approximate numerosity (...) become an object of thought that is so accessible to our consciousness? How are these concepts refined and specified in such a way as to become numbers? Unfortunately, there is currently no model that can truly demonstrate the role of language in the development of numerical skills starting from approximate pre-verbal skills. However, the author details a solution to this problem: dual process theories. It is an approach widely used by theorists focusing on reasoning, decision making, social cognition, and consciousness. Here, he applies this approach to the studies on mathematical knowledge. He details the results brought about by psychological and neuroscientific studies conducted on numerical cognition by key neuroscientists. In the process, he develops the foundations of a new, potential philosophical explanation on mathematical knowledge. (shrink)

During the course of life, it is common to make some decisions that prove to be correct. Some of these choices are made without a specific reason, but only out of habit or intuitively, while others are based on judgments and motivations. However, when we claim that a decision is “right”, what kind of judgment are we referring to? On the one hand, the term “right” (or “wrong”) often refers to abstract norms. Usually, truth and falsehood serve as criteria in (...) these cases. In such situations, judgments about what is “right” or “wrong” depend strictly on an accurate rational evaluation, which is instrumental in guiding individuals to undertake or avoid certain actions. On the other hand, there is a sense of justice that concerns ethics and values. In these circumstances, a decision is generally considered “right” if it is based on a criterion of judgment that allows individuals to make a decision freely, without being bound by an abstract norm, but rather by elaborating the choice as the realization of what they consider good and just. In this paper will examine and redefine the concept of “right choice”, acknowledging the above mentioned dual nature of its meaning. It will be argued there is a link between what abstract norms dictate to do, in order to reach a formally correct decision, and what, instead, depends on merely reasons and attitudes. This connection is indeed ensured by wise decisions. (shrink)

Ethical intuitionism traces its roots back to the early eighteenth century in the field of ethics. Despite apparent distinctions, intuitionism, especially in its recent development by Huemer, bears a striking resemblance to robust versions of rationalist foundationalism. In this paper, we will argue against the perspective of robust intuitionism. Furthermore, we commit to reviewing what theorists operating within the field of study known as Dual Process Theory hypothesize about intuition. Nonetheless, we do not claim that the origin of our moral (...) beliefs is unreliable or discreditable. On the contrary, we entertain the prospect of reviving intuitionistic themes by leveraging the concept of a Kantian scheme. (shrink)

Standard economic theory usually analyzes the decisions made by individuals as a rational process in which each individual has sound and consistent preferences and makes decisions according to the principle of subjective expected utility maximization. Starting from the pioneering work of Herbert Simon and the research of cognitive psychologists Kahneman and Tversky, the contributions provided by cognitive-behavioral theory have repeatedly shown that real agents make choices in a way that differs systematically from standard theory, hence highlighting its limits. Rather than (...) considering standard normative theory as false or unable to explain the data obtained by behavioral economists, several economists decided to develop new formal models that could include the results of different experiments and empirical observations that captured all dimensions of the choice made by an individual. In this sense, they proposed new models that were not intended to challenge standard theory but rather designed to provide a kind of psychological expansion to it. This article has the aim of describing and analyzing the advantages and limitations of these new models, which unfortunately are not always suited to describe the individual behavior, the individuals’ actions, or the equilibria due to the combination of the actions of several players. To overcome the limits of these models, we decided to take into consideration the unfortunately unfinished work of Michael Bacharach, who strived to understand the individual and collective forms of rationality without applying only analytical devices or a theoretical vision of the world but bringing rationality back to the perception level of the agents. (shrink)

An epistemological analysis of the decision, this book includes a critical analysis through the continuous reference to an interdisciplinary approach including a synthesis of philosophical approaches, biology and neuroscience.

THE TWEET OF THE UNIVERSE. GRAVITATIONAL WAVES BETWEEN THEORY, EFFORTS AND MISTAKES The recent discovery of gravitational waves fills a substantial gap in the theory of general relativity, since these waves were the only phenomenon predicted by Einstein’s theory that had not yet been directly observed. This was mainly due to the fact that the passage of waves is an elusive phenomenon, almost imperceptible, up to the point that even Einstein thought that it was almost impossible to detect it using (...) “traditional” tools. This paper will explore the efforts made over the years to detect the passage of these waves, the mistakes made, and the recent results obtained through the use of the twin optical interferometers LIGO and VIRGO. This extraordinary discovery shows one more time that the history of science is full of trials, errors and sudden steps forward maybe due to the use of new technology. (shrink)

Neuroeconomics is a science pledged to tracing the neurobiological correlates involved in decision-making, especially in the case of economic decisions. Despite representing a recent research field that is still identifying its research objects, tools and methods, its epistemological scope and scientific relevance have already been openly questioned by several authors. Among these critics, the most influential names in the debate have been those of Faruk Gul and Wolfgang Pesendorfer, who claim that the data on neural activity cannot find place in (...) economic models, which should on the contrary be solely based on the data produced by choices. This paper aims at countering the gloomy and unsubstantiated claims of these two authors and those who believe that neuroscience cannot provide new and useful insights to the established knowledge of standard economics. The main point stressed here is that this perception is the product of a general misunderstanding of the advances made by neuroscience, which are incidentally of crucial importance. (shrink)