Resting-State Functional Connectivity in Mathematical Expertise

To what extent are different levels of expertise reflected in the functional connectivity of the brain? We addressed this question by using resting-state functional magnetic resonance imaging (fMRI) in mathematicians versus non-mathematicians. To this end, we investigated how the two groups of participants differ in the correlation of their spontaneous blood oxygen level-dependent fluctuations across the whole brain regions during resting state. Moreover, by using the classification algorithm in machine learning, we investigated whether the resting-state fMRI networks between mathematicians and non-mathematicians were distinguished depending on features of functional connectivity. We showed diverging involvement of the frontal–thalamic–temporal connections for mathematicians and the medial–frontal areas to precuneus and the lateral orbital gyrus to thalamus connections for non-mathematicians. Moreover, mathematicians who had higher scores in mathematical knowledge showed a weaker connection strength between the left and right caudate nucleus, demonstrating the connections’ characteristics related to mathematical expertise. Separate functional networks between the two groups were validated with a maximum classification accuracy of 91.19% using the distinct resting-state fMRI-based functional connectivity features. We suggest the advantageous role of preconfigured resting-state functional connectivity, as well as the neural efficiency for experts’ successful performance.

Delays are Self-enhancing: An Explanation of the East-West Asymmetry in Recovery from Jetlag

There is evidence in mammals that recovering from jetlag after westward travel is faster than after eastward travel. To understand why, mathematical models have been used, along with theories of entrainment rooted in experimental evidence. The most complete understanding relies on detailed mathematical modeling, so it is helpful to develop an intuition about why there is an east-west asymmetry. One such intuition is that humans have long periods and therefore recover better when they can delay. Although this is part of the reason, it does not explain why short-period mice also recover from westward travel faster. Our goal is to provide a simple intuition consistent with detailed mathematical theories, but which does not require mathematical expertise to follow. Here, we present the intuition that westward travel is easier to recover from because of a simple principle: delays are self-enhancing.

Proto-Transmedial Narrative Structures: Lewis Carroll’s A Tangled Tale

This paper explores A Tangled Tale, a collection of mathematical puzzles that Charles Ludwick Dodgson serialized in The Monthly Packet between 1880 and 1885. The hybrid narrative patterns that present mathematical questions by means of fictional storytelling are a unique form of scientific knowledge dissemination that anticipates the breakdown of narrative linearity and the emergence of multiform formats present in transmedia. An inquiry into the Rule of Three and infinite regress tie the knots of a tale that highlights crucial insights on the algorithmic foregrounding of the strategies of transmedia design. Such strategies can be seen as the intersection of narrative as well as mathematical expertise that turn the media galaxy into a cosmic affair.

BENEDETTO CASTELLI’S CONSIDERATIONS ON THE LAGOON OF VENICE: MATHEMATICAL EXPERTISE AND HYDROGEOMORPHOLOGICAL TRANSFORMATIONS IN SEVENTEENTH-CENTURY VENICE

ABSTRACT This paper deals with the geoenvironmental politics of early-modern Venice as a case study of geological agency that enlightens the entanglements of geo-history and human history. It focuses on a controversy that was sparked by Galileo’s pupil Benedetto Castelli, as he claimed that his mathematical treatment of running waters could solve all of the most urgent problems linked to the management of the Lagoon of Venice. From an epistemological viewpoint, the controversy is relevant as a case of clashing ‘styles of thought’, as it constituted a disciplinary conflict that pitted Galileian physico-mathematical abstraction (which resulted from the isolation of a set of quantifiable data) against ‘geological’ concreteness (a form of comprehensive knowledge which aimed to cope with systemic complexity). Castelli was not able to convince the Venetian authorities that his method could solve the main problems relative to the conservation of the lagoon at a time when its depth and navigability were worryingly diminishing. While the Venetian authorities invested in diverting rivers away from the lagoon to reduce sediment supply, Castelli argued, to the contrary, that it was precisely the diversion of the rivers that caused shoaling because of the loss of the great quantity of water discharged by the rivers, which he accurately calculated. His analytical approach was dismissive of the comprehensive knowledge and complex methods that Venetian water experts and engineers had developed towards a systemic understanding of the hydrogeology and the environment of the lagoon with the active involvement of citizens and fishermen in the assessment of the state of the waters.

Mathematics and Ethics

In the philosophy of mathematics, ontological and epistemological questions have been discussed for centuries. These two set of questions span out a two-dimensional philosophy of mathematics. I find it important to establish a four dimensional philosophy of mathematics by adding two more dimensions, namely a sociological and an ethical dimension. The sociological dimension addresses the social formation of mathematics, while the ethical dimension addresses the mathematical formation of the social. In this article, I concentrate on exploring the ethical dimension by showing the broad range of social implications set in motion through bringing mathematics into action. These implications I illustrate in terms of quantifying, digitalising, serialising, categorising, and imagining. By the banality of mathematical expertise, I refer to the phenomenon that the formation of this expertise takes place in an ethical vacuum. To me this is a devastating feature of mathematical research and application practices. It is important that a philosophy of mathematics brings mathematics out of this vacuum. Keywords: Four-dimensional philosophy of mathematics; Ethics; Mathematics in action; Quantification; Digitalization.

Behind the Mask – An Inquiry into the Shakespeare Authorship Question

There is at present no consensus concerning the true authorship of the monumental literature that we ascribe to “Shakespeare”. Orthodox scholarship attributes this corpus to a man who was born and who died in Stratford-Upon-Avon, who spelled his name William Shakspere (or variants thereof, almost all with a short “a”), who could not write his own name consistently, and who may have been illiterate – as were his parents and as were, essentially, his children. For these and other reasons, many alternative candidates have been proposed. At this date, the leading such candidate is Edward de Vere, 17th Earl of Oxford. We approach the Authorship issue from a scientific perspective. We frame the key question as that of Secrecy or No Secrecy. According to orthodox scholarship, the Authorship Issue does not involve considerations of secrecy. According to independent scholarship, considerations of secrecy are fundamental to the Authorship Issue. We follow the initiatives of Jonathan Bond, John Rollett, and David Roper, who all brought their considerable mathematical expertise to the challenge of identifying and deciphering cryptograms embodied in the Dedication of the Sonnets and in the Inscription on the “Shakespeare” Monument. We show that the combined statistical significance of the cryptograms is overwhelming: The probability that the evidence contained in the cryptograms has occurred by chance rather than by intent is less than one part in one million-billion. Hence the messages must be accepted as the intentional creations of the authors – Oxford (not Thomas Thorpe, as usually assumed) for the Dedication, and Ben Jonson for the Inscription. The cryptograms confirm the orthodox suspicion that the intended recipient of the Sonnets was Henry Wriothesley, 3rd Earl of Southampton (so also confirming the orthodox belief that Southampton was the “Fair Youth” of the Sonnets). These discoveries resolve some of the well-known outstanding puzzles concerning the Authorship Issue such as the Author’s familiarity with Europe and its languages (especially Italy), his intricate knowledge of the lives of monarchs and nobility, his detailed and highly accurate knowledge of the law, etc. (see Table 1). However, this change in perspective necessarily raises new questions that will call for new research.Keywords: Shakespeare, Edward de Vere, William Shakspere, cryptograms, Cardano Grille

Mechanics and mathematicians: George Biddell Airy and the social tensions in constructing time at Parliament, 1845–1860

In mid-Victorian Britain, reconciling elite mathematical expertise with practical mechanical experience presented both engineering and social challenges. Nowhere was this more apparent than in the construction of the Westminster Clock at Britain’s Houses of Parliament. Realizing this scheme engendered the collaboration between Cambridge mathematicians George Biddell Airy and Edmund Beckett Denison, and the clockmaker Edward John Dent. Transforming theoretical mathematical drawings into physical apparatus challenged existing relations between conveyors of privileged scientific knowledge and those with practical experience of what was, and what was not, mechanically possible. My article demonstrates how, within this project, physical models and devices provided material solutions to ambiguities over authority and social disorder in Victorian Britain.

PlantSimLab - a modeling and simulation web tool for plant biologists

Background At the molecular level, nonlinear networks of heterogeneous molecules control many biological processes, so that systems biology provides a valuable approach in this field, building on the integration of experimental biology with mathematical modeling. One of the biggest challenges to making this integration a reality is that many life scientists do not possess the mathematical expertise needed to build and manipulate mathematical models well enough to use them as tools for hypothesis generation. Available modeling software packages often assume some modeling expertise. There is a need for software tools that are easy to use and intuitive for experimentalists. Results This paper introduces PlantSimLab, a web-based application developed to allow plant biologists to construct dynamic mathematical models of molecular networks, interrogate them in a manner similar to what is done in the laboratory, and use them as a tool for biological hypothesis generation. It is designed to be used by experimentalists, without direct assistance from mathematical modelers. Conclusions Mathematical modeling techniques are a useful tool for analyzing complex biological systems, and there is a need for accessible, efficient analysis tools within the biological community. PlantSimLab enables users to build, validate, and use intuitive qualitative dynamic computer models, with a graphical user interface that does not require mathematical modeling expertise. It makes analysis of complex models accessible to a larger community, as it is platform-independent and does not require extensive mathematical expertise.