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Enumerative Induction In Mathematics
In my 2007 paper, “Is There a Problem of Induction for Mathematics?” I rejected the idea that enumerative induction has force for mathematical claims. My core argument was based on the fact that we are restricted to examining relatively small numbers, so our samples are always biased, and hence they carry no inductive weight. In recent years, I have come to believe that this argument is flawed. In particular, while arithmetical samples are indeed biased, my new view is that this bias actually strengthens the inductive support that accrues from them. The reason is that small numbers typically provide a more severe test of general arithmetical claims due to the greater frequency of significant properties and boundary cases among such numbers. In this paper, I describe and defend this new view, which a call Positive Bias Pro-Inductivism
Centers For Engagement And The Possibility Of Decentering The Academy In Knowledge Production
This chapter discusses the role of centers for engagement at institutions of higher education as a facilitator, container, or resource for relationships between people situated within academic institutions and people situated in communities who partner with them. It explores the ways communities of care built among people offer a sustainable alternative way to ground engaged work when compared to the precarity of institutional interest, funding priorities, and employment status often associated with higher education, and by proxy, their centers for engagement. These centers often play an important role in supporting the work done in collaboration with communities, but they cannot replace or eclipse authentic relationships among people. While these centers’ can facilitate substantial efforts for positive change, the goal of maintaining their status within the institution cannot replace or eclipse the goal of liberation
Metals In The Gut: Microbial Strategies To Overcome Nutritional Immunity In The Intestinal Tract
Trace metals are indispensable nutritional factors for all living organisms. During host-pathogen interactions, they serve as crucial resources that dictate infection outcomes. Accordingly, the host uses a defense strategy known as nutritional immunity, which relies on coordinated metal chelation to mitigate bacterial advances. In response, pathogens employ complex strategies to secure these resources at sites of infection. In the gastrointestinal (GI) tract, the microbiota must also acquire metals for survival, making metals a central line of competition in this complex ecosystem. In this minireview, we outline how bacteria secure iron, zinc, and manganese from the host with a focus on the GI tract. We also reflect on how host dietary changes impact disease outcomes and discuss therapeutic opportunities to target bacterial metal uptake systems. Ultimately, we find that recent discoveries on the dynamics of transition metals at the host-pathogen-microbiota interface have reshaped our understanding of enteric infections and provided insights into virulence strategies, microbial cooperation, and antibacterial strategies
Experiences Of Undergraduate Computer Science Students Living With Mental Health Conditions
Along with the growing number of students with disabilities in higher education comes an opportunity to explore the difficulties they experience, especially in the post-pandemic era, as well as how to better support them, thus making post-secondary education more inclusive. A considerable amount of research has been done in providing accommodation for students with physical disabilities, but other hindrances to accessibility such as mental health conditions are prone to be overlooked, perhaps in part due to the stigmatization and subjective invisibility of this topic, specifically in rigorous, competitive fields such as Computer Science (CS). In order to bridge this gap, we conducted a nationwide survey in which 53 undergraduate CS students who identify as living with a mental health condition shared their experiences in their CS courses, instructor and TA office hours, interactions with other students, and the rest of the field. This paper summarizes the most common negative and positive experiences, as well as respondents\u27 recommendations for CS instructors, including recognizing these students\u27 struggles, making themselves approachable, and providing flexible formats of lectures and office hours. The results of this study provide a glimpse of the academic lives of CS students living with mental health conditions, so that CS instructors could foster a more inclusive environment by supporting more students in their paths of pursuing higher education
A Step into Khmer’s Double Negation Mystery: Clause-final Marker ទេ[te:] as Negative Polarity Focus
In Khmer, basic negation is formed using two negation elements: the preverbal marker មិន [mɨn] and the clause-final marker ទេ[te:]. However, there are cases where [te:] is optional with the utterance still retaining its negative meaning; when it is present, it is claimed that the utterance can have two readings: plain negation and emphatic negation (Saparova, 2020). Thus, there is speculation as to what function [te:] serves and what it contributes to the semantic meaning of a sentence. This thesis examines the optionality of [te:] through the lens of polarity focus, drawing on Wilder’s (2013) and Goodhue’s (2018, 2022) observations. It argues that the presence of [te:] depends on the salience of contrasting alternatives in the discourse context, which license polarity focus under the principle of maximize presupposition. When such antecedents are explicit, [te:] is required and emphasizes the truth of the negated proposition via polarity focus. In addition, this thesis finds that, unlike English, constituent focus marking in Khmer relies on polarity focus markers rather than prosodic prominence. It also identifies a connection between question markers and polarity focus markers: the clause-initial question marker តើ[taə] for positive polarity focus and the polar question marker ទេ[te:] for negative polarity focus
Berglund–Hübsch Transpose And Sasaki-Einstein Rational Homology 7-Spheres
We show that links of isolated hypersurface singularities defined by invertible polynomials coming from the Johnson and Kollár list of Kähler-Einstein 3-folds that are rational homology 7-spheres remain rational homology 7-spheres under the so-called Berglund-Hübsch transpose rule coming from classical mirror symmetry constructions. Actually, this rule produces twins, that is, links with same degree, Milnor number and homology ₃, with the exception of iterated Thom-Sebastiani sums of singularities of chain and cycle type, where the torsion and the Milnor number vary. The Berglund-Hübsch transpose rule not only gives a framework to better understand the existence of Sasaki-Einstein twins but also gives a mechanism for producing new examples of Sasaki-Einstein twins in the rational homology 7-sphere setting. We also give reasonable conditions for a Sasaki-Einstein rational homology 7-sphere to remain Sasaki-Einstein under the Berglund-Hübsch transpose rule. In particular, we found 75 new examples of Sasaki-Einstein rational homology 7-spheres arising as links of not well-formed hypersurface singularities
Review Of Traces Of Contact In The Lexicon: Austronesian And Papuan Studies Edited By M. Klamer And F. R. Moro
Synchronized Bionic Hand: Harmonizing Robotics with Rhythm
This report explores the therapeutic potential of rhythmic movement to music, focusing specifically on the wave dance movements of the human hand. Utilizing a mechanical analog, the study models the hand as a system of five interconnected mass-spring-dampers to simulate the dynamic and kinematic responses of the hand\u27s joints to rhythmic stimuli. Through a combined approach of MATLAB simulation and physical modeling with servo motors controlled by Arduino, the project aims to quantify and visualize the effects of rhythmic movements on joint dynamics. The simulation employs the mass-spring-damper system to represent each joint and uses an impulse response approach to model the propagation of wave-like motions across the hand. The results are expected to provide valuable insights into the applicability of rhythmic movement in physical therapy, particularly for improving fine motor skills and coordination in rehabilitation settings