The visual number world: A dynamic approach to study the mathematical mind

2018 ◽  
Vol 71 (1) ◽  
pp. 28-36 ◽  
Author(s):  
Matthias Hartmann ◽  
Jochen Laubrock ◽  
Martin H Fischer

In the domain of language research, the simultaneous presentation of a visual scene and its auditory description (i.e., the visual world paradigm) has been used to reveal the timing of mental mechanisms. Here we apply this rationale to the domain of numerical cognition in order to explore the differences between fast and slow arithmetic performance, and to further study the role of spatial-numerical associations during mental arithmetic. We presented 30 healthy adults simultaneously with visual displays containing four numbers and with auditory addition and subtraction problems. Analysis of eye movements revealed that participants look spontaneously at the numbers they currently process (operands, solution). Faster performance was characterized by shorter latencies prior to fixating the relevant numbers and fewer revisits to the first operand while computing the solution. These signatures of superior task performance were more pronounced for addition and visual numbers arranged in ascending order, and for subtraction and numbers arranged in descending order (compared to the opposite pairings). Our results show that the “visual number world”-paradigm provides on-line access to the mind during mental arithmetic, is able to capture variability in arithmetic performance, and is sensitive to visual layout manipulations that are otherwise not reflected in response time measurements.

Author(s):  
Trevor A. Harley

Research in the psychology of language has been dogged by some enduring controversies, many of which continue to divide researchers. Furthermore, language research has been riven by too many dichotomies and too many people taking too extreme a position, and progress is only likely to be made when researchers recognize that language is a complex system where simple dichotomies may not be relevant. The enduring controversies cover the width of psycholinguistics, including the work of Chomsky and the nature of language, to what extent language is innately determined and the origin of language and how it evolved. Chomsky’s work has also influenced our conceptions of the modularity of the structure of the mind and the nature of psychological processing. Advances in the sophistication of brain imaging techniques have led to debate about exactly what these techniques can tell us about the psychological processing of language. There has also been much debate about whether psychological processing occurs through explicit rules or statistical mapping, a debate driven by connectionist modeling, deep learning, and techniques for the analysis of “big data.” Another debate concerns the role of prediction in language and cognition and the related issues of the relationship between language comprehension and language production. To what extent is language processing embodied, and how does it relate to controversies about “embedded cognition”? Finally, there has been debate about the purpose and use of language.


Author(s):  
Michael Andres ◽  
Mauro Pesenti

Human beings are permanently required to process the world numerically and, consequently, to perform computations to adapt their behaviour and they have developed various calculation strategies, some of them based on specific manipulations of the fingers. In this chapter, we argue that the way we express physically numerical concepts by raising fingers while counting leads to embodied representations of numbers and calculation procedures in the adult brain. To illustrate this, we focus on number and finger interactions in the context of simple arithmetic operations. We show that the fixed order of fingers on the hand provides human beings with unique facilities to increment numerical changes or represent a cardinal value while solving arithmetic problems. In order to specify the influence of finger representation on mental arithmetic both at the cognitive and neural level, we review past and recent findings from behavioural, electrophysiological, and brain imaging studies. We start with anthropological and developmental data showing the role of fingers in the acquisition of arithmetic knowledge, then address the issue of whether number and finger interactions are also observed in adults solving arithmetic problems mentally. We suggest that arithmetic performance depends on the integrity of finger representations in children and adults. Finally, we overview the results of recent functional magnetic resonance imaging (fMRI) studies showing a common brain substrate for finger and number representations during and after the acquisition of arithmetic skills.


Author(s):  
Ronald Hoinski ◽  
Ronald Polansky

David Hoinski and Ronald Polansky’s “The Modern Aristotle: Michael Polanyi’s Search for Truth against Nihilism” shows how the general tendencies of contemporary philosophy of science disclose a return to the Aristotelian emphasis on both the formation of dispositions to know and the role of the mind in theoretical science. Focusing on a comparison of Michael Polanyi and Aristotle, Hoinski and Polansky investigate to what degree Aristotelian thought retains its purchase on reality in the face of the changes wrought by modern science. Polanyi’s approach relies on several Aristotelian assumptions, including the naturalness of the human desire to know, the institutional and personal basis for the accumulation of knowledge, and the endorsement of realism against objectivism. Hoinski and Polansky emphasize the promise of Polanyi’s neo-Aristotelian framework, which argues that science is won through reflection on reality.


2012 ◽  
Vol 21 (2) ◽  
pp. 223-243
Author(s):  
Irit Degani-Raz

The idea that Beckett investigates in his works the limits of the media he uses has been widely discussed. In this article I examine the fiction Imagination Dead Imagine as a limiting case in Beckett's exploration of limits at large and the limits of the media he uses in particular. Imagination Dead Imagine is shown to be the self-reflexive act of an artist who imaginatively explores the limits of that ultimate medium – the artist's imagination itself. My central aim is to show that various types of structural homologies (at several levels of abstraction) can be discerned between this poetic exploration of the limits of imagination and Cartesian thought. The homologies indicated here transcend what might be termed as ‘Cartesian typical topics’ (such as the mind-body dualism, the cogito, rationalism versus empiricism, etc.). The most important homologies that are indicated here are those existing between the role of imagination in Descartes' thought - an issue that until only a few decades ago was quite neglected, even by Cartesian scholars - and Beckett's perception of imagination. I suggest the use of these homologies as a tool for tracing possible sources of inspiration for Beckett's Imagination Dead Imagine.


2018 ◽  
Vol 10 (2) ◽  
pp. 85-113
Author(s):  
Nathalia Gleyce dos Santos Salazar

Resumo:  Apresenta-se uma discussão sobre o conhecimento e a tese dos três mundos no qual a interação entre estes nos aproxima da verdade do problema corpo-mente, tendo em vista, uma nova proposta de solução. O terceiro mundo é uma peça importante neste trabalho; sendo assim, analisaremos o que Popper designa como Mundo 3, em que ele consiste e o papel da linguagem como diferencial do ser humano. Apresentamos as críticas popperianas às correntes monistas e dualistas, ousando fazer uma crítica a Teoria do Conhecimento tradicional. Desta forma, a proposta apresentada por este filósofo da ciência diferencia-se de tudo que estava sendo feito até então, por isso, o interesse de apresentar essa abordagem pouco trabalhada de Popper. Palavras-chave: Conhecimento. Corpo-Mente. Mundo 3.Abstract: In this work, we present a discussion about knowledge and the theory of the three worlds in which the interaction between them approaches to the truth of the mind-body problem, in view of a proposed solution. The third world is an important piece in this work. Therefore, we will analyze what Popper describes as World 3, what it is and the role of language as a differential of human beings. We present Popper’s criticisms to the monistic and dualistic currents, daring to criticize the theory of traditional knowledge. Thus, the proposal of science presented by this philosopher differs from everything that was being done until then. This explains the interest in presenting this unusual approach to Popper.Keywords: Knowledge. Body-Mind.  World 3. REFERÊNCIASLEAL-TOLEDO, Gustavo . Popper e seu Cérebro. Revista da Faculdade de Letras. Série Filosofia, v. XXIII, p. 59-68, 2007.POPPER, Karl Raimund. A Lógica da Pesquisa Científica. Tradução de Leonidas Hegenberg e Octanny Silveira de Mota.  São Paulo: editora Cultrix. 2007.POPPER, Karl Raimund. Conhecimento Objetivo: uma abordagem evolucionária. Tradução de Milton Amado.  Belo Horizonte, Ed. Itatiaia Ilimitada. São Paulo, Ed. Da Universidade São Paulo, 1975._______.  O Conhecimento e o Problema Corpo –Mente. Tradução Joaquim Alberto Ferreira Gomes. Lisboa, Ed. 70. 1996.   _______. Conjecturas e Refutações: o desenvolvimento do conhecimento científico. Trad. Benedita Bettencourt. Ed. Livraria Almedina, 2006._______.  O Eu e Seu Cérebro. Karl Popper, Jonh C. Eccles;Tradução Silvio Meneses Garcia, Helena Cristina F. Arantes e Aurélio Osmar C. de Oliveira. – Campinas, SP: Papirus; Brasília, DF: Editora Universidade de Brasília. 1991.   _______. O Racionalismo Crítico na Política. Tradução de Maria da Conceição Côrte – Real. Brasília, Editora Universidade de Brasília, 2ª edição, 1994, 74p.SEARLE, John R. La construcción de la realidad social. Trad. Antoni Domènech. Barcelona: Paidós Ibérico, 1995.  


2020 ◽  
Vol 26 ◽  
Author(s):  
Cristian Muresanu ◽  
Siva G. Somasundaram ◽  
Sergey V. Vissarionov ◽  
Liliya V. Gavryushova ◽  
Vladimir N. Nikolenko ◽  
...  

Background: From the evidence of failed injection-based growth factor therapies, it has been proposed that a naturally triggered uninterrupted blood circulation of the growth factors would be superior. Objective: We seek to stimulate discussions and more research about the possibility of using the already available growth factors found in the prostate gland and endometrium by starting a novel educable physiology, known as biological transformations controlled by the mind. Methods: We summarized the stretch-gated ion channel mechanism of the cell membrane, and offer several practical methods that can be applied by anyone, in order to stimulate and enhance the blood circulation of the growth factors from the seminal fluid to sites throughout the body. This details the practical application of our earlier published studies about biological transformations. Results: A previously reported single-patient case study has been extended, adding more from his personal experiences continually improving this novel physiological training and extending the ideas from our earlier findings in detail. Conclusion: The biological transformation findings demonstrate the need additional research to establish the benefits of these natural therapies to repair and rejuvenate tissues affected by various chronic diseases or aging processes.


Author(s):  
Girish S. Varrier ◽  
Ashwini M. J.

The word Chakshu means, that which illuminates the objects and enlightens the mind about its details. It is seated in the two eye balls. When we talk about Pathya and Apathya, the importance of the word Chakshushya is impressed upon. The Pathyas have been explained by different authors in the heading of Chakshushya Vargas and the Apathyas have been explained as Achakshushya. Different Acharyas have also explained about the various daily regimen to be followed for maintaining Nethra Swasthya as Ayurveda gives much importance in maintaining of health and prevention of diseases along with the treatment of diseases. These Dinacharyas can be adopted in our day to day lives to protect the eye from diseases and improve the vision, by implementing improvised techniques tailor-made for day to day activities of present era. The Acharyas have armed us with proper knowledge to prevent and treat life style disorders related to eye diseases through explanation of Pathya Apathya and Dinacharyas which are practices of Kriyakalpas. Most of these practices are not being followed these days which leads to many Nethra Rogas. This can be corrected by re-implementing improvised versions of such practices in our daily life.


2013 ◽  
Vol 6 (2) ◽  
pp. 172-188
Author(s):  
Ahmad Kamal Abou Al-Majd

This article attempts to attenuate the exaggerated polarization in contemporary religious discourse in Egyptian society emanating from two flawed positions: a wrong conception of ‘applying Shari'a‘; and a wrong intention whereby deliberate cultural exclusion is practised to eradicate any religious orientation. The main subject of this article are manifestations of deviation of this discourse from the orientation of the original frame of reference of religion: (1) The call for Islam through scaring and intimidation; (2) the tendency to be tough on people, thus increasing obligatory duties and decreasing what is permissible; (3) inattention to the objectives of Shari'a and focusing on its literal aspect; (4) inattention to priorities; (5) belittling the role of the mind in Islamic conceptualization; (6) immersion in the past; and (7) Muslims' relationship with others. Nevertheless, rationalizing ‘religious discourse’ and working out a kind of consensus seems to be of utmost importance.


2011 ◽  
Vol 23 (9) ◽  
pp. 2447-2467 ◽  
Author(s):  
Sara Bögels ◽  
Herbert Schriefers ◽  
Wietske Vonk ◽  
Dorothee J. Chwilla

The present study addresses the question whether accentuation and prosodic phrasing can have a similar function, namely, to group words in a sentence together. Participants listened to locally ambiguous sentences containing object- and subject-control verbs while ERPs were measured. In Experiment 1, these sentences contained a prosodic break, which can create a certain syntactic grouping of words, or no prosodic break. At the disambiguation, an N400 effect occurred when the disambiguation was in conflict with the syntactic grouping created by the break. We found a similar N400 effect without the break, indicating that the break did not strengthen an already existing preference. This pattern held for both object- and subject-control items. In Experiment 2, the same sentences contained a break and a pitch accent on the noun following the break. We argue that the pitch accent indicates a broad focus covering two words [see Gussenhoven, C. On the limits of focus projection in English. In P. Bosch & R. van der Sandt (Eds.), Focus: Linguistic, cognitive, and computational perspectives. Cambridge: University Press, 1999], thus grouping these words together. For object-control items, this was semantically possible, which led to a “good-enough” interpretation of the sentence. Therefore, both sentences were interpreted equally well and the N400 effect found in Experiment 1 was absent. In contrast, for subject-control items, a corresponding grouping of the words was impossible, both semantically and syntactically, leading to processing difficulty in the form of an N400 effect and a late positivity. In conclusion, accentuation can group words together on the level of information structure, leading to either a semantically “good-enough” interpretation or a processing problem when such a semantic interpretation is not possible.


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