Open Access. Powered by Scholars. Published by Universities.®

Physical Sciences and Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

2024

Discipline
Institution
Keyword
Publication
Publication Type
File Type

Articles 4801 - 4830 of 8047

Full-Text Articles in Physical Sciences and Mathematics

A Green New England? Regional Implementation Of Grant-Based Provisions Of The Inflation Reduction Act In The Northeastern U.S., Samuel Cooper Apr 2024

A Green New England? Regional Implementation Of Grant-Based Provisions Of The Inflation Reduction Act In The Northeastern U.S., Samuel Cooper

Sustainability and Social Justice

The Inflation Reduction Act of 2022 has been described as “the most significant action Congress has taken on clean energy and climate change in the nation’s history,” totaling some $370 billion in tax credits and federal grants for everything from residential solar panels to urban forestry. As the first of its size in U.S. climate policy, the IRA has been a subject of study and debate since its introduction, but it is only in this past year that funding reporting data has become available. This thesis utilizes this federal data to produce a novel analysis of IRA implementation at the …


An Investigation On The Intricacies Of Epigenetic Modulations In The Pathogenesis Of Human Papillomavirus-Associated Cervical Cancer: A Comprehensive Meta-Narrative Synthesis, Jade Carolina Cabello, Marcella Victoria Ras, Katelyn Thy Nhung Tran, Athit Voytas Apr 2024

An Investigation On The Intricacies Of Epigenetic Modulations In The Pathogenesis Of Human Papillomavirus-Associated Cervical Cancer: A Comprehensive Meta-Narrative Synthesis, Jade Carolina Cabello, Marcella Victoria Ras, Katelyn Thy Nhung Tran, Athit Voytas

Research Methods Poster Session 2024

Abstract

Objective: To conduct a meta-analysis of the available and relevant literature on E1/E2 genes and their affect on the epigenetics of Human Papillomavirus caused uterine cervical cancer.

Background/Significance: Human Papillomavirus is strongly linked to cervical cancer, and cervical cancer is the fourth most common type of cancer in women. 99.7% of patients with cervical cancer have a “high risk HPV genotype” which factors greatly into the causation if their diagnosis. The HPV vaccine that came out in 2006 has greatly decreased cervical cancer in the population as well as increased the preventative chances of highly susceptible individuals.

Methods: To …


Rethinking Plagiarism In The Era Of Generative Ai, James Hutson Apr 2024

Rethinking Plagiarism In The Era Of Generative Ai, James Hutson

Faculty Scholarship

The emergence of generative artificial intelligence (AI) technologies, such as large language models (LLMs) like ChatGPT, has precipitated a paradigm shift in the realms of academic writing, plagiarism, and intellectual property. This article explores the evolving landscape of English composition courses, traditionally designed to develop critical thinking through writing. As AI becomes increasingly integrated into the academic sphere, it necessitates a reevaluation of originality in writing, the purpose of learning research and writing, and the frameworks governing intellectual property (IP) and plagiarism. The paper commences with a statistical analysis contrasting the actual use of LLMs in academic dishonesty with educator …


Natural Resource Policy Analysis: Controversy Over Forest Management At Sparta Mountain Wildlife Management Area, James Bates Apr 2024

Natural Resource Policy Analysis: Controversy Over Forest Management At Sparta Mountain Wildlife Management Area, James Bates

Environmental Science & Sustainable Development Student Projects

New Jersey contains the densest human population in the United States. As New York City to the east has grown, urban sprawl has reached much of the Garden State. For the natural environment, the impact of this sprawl is significant. The eastern deciduous forest that once covered the northern half of the state has been reduced to select areas where development is restricted. The remaining areas of protected forest are valuable to the public as natural gems amidst a world of modern infrastructure. Most of these protected forests are owned and managed by the state of New Jersey, by the …


Visualizing Routes With Ai-Discovered Street-View Patterns, Tsung Heng Wu, Md Amiruzzaman, Ye Zhao, Deepshikha Bhati, Jing Yang Apr 2024

Visualizing Routes With Ai-Discovered Street-View Patterns, Tsung Heng Wu, Md Amiruzzaman, Ye Zhao, Deepshikha Bhati, Jing Yang

Computer Science Faculty Publications

Street-level visual appearances play an important role in studying social systems, such as understanding the built environment, driving routes, and associated social and economic factors. It has not been integrated into a typical geographical visualization interface (e.g., map services) for planning driving routes. In this article, we study this new visualization task with several new contributions. First, we experiment with a set of AI techniques and propose a solution of using semantic latent vectors for quantifying visual appearance features. Second, we calculate image similarities among a large set of street-view images and then discover spatial imagery patterns. Third, we integrate …


Fluorescence Microscopy With Deep Uv, Near Uv, And Visible Excitation For In Situ Detection Of Microorganisms, Noel Case, Nikki Johnston, Jay Nadeau Apr 2024

Fluorescence Microscopy With Deep Uv, Near Uv, And Visible Excitation For In Situ Detection Of Microorganisms, Noel Case, Nikki Johnston, Jay Nadeau

Physics Faculty Publications and Presentations

We report a simple, inexpensive design of a fluorescence microscope with light-emitting diode (LED) excitation for detection of labeled and unlabeled microorganisms in mineral substrates. The use of deep UV (DUV) excitation with visible emission requires no specialized optics or slides and can be implemented easily and inexpensively using an oblique illumination geometry. DUV excitation (<280 >nm) is preferable to near UV (365 nm) for avoidance of mineral autofluorescence. When excited with DUV, unpigmented bacteria show two emission peaks: one in the near UV ∼320 nm, corresponding to proteins, and another peak in the blue to green range, corresponding to …


Syllabus For Oer Version Of Math 20100, Thea Pignataro Apr 2024

Syllabus For Oer Version Of Math 20100, Thea Pignataro

Open Educational Resources

Syllabus for OER version of first semester calculus with analytic geometry for physical sciences and engineering.


Mediating Effect Of Bmi On The Association Of Economic Status And Coexistence Of Hypertension And Diabetes In Bangladesh: A Counterfactual Framework-Based Weighting Approach, Foyez , Md. Jamal Hossain Ahmmed, Md. Jamal Hossain, Md Tareq Ferdous Khan, Muhammad Mahabub Rahaman Manik, Saimon Shahriar, Dulal Chandra Nandi, Md Parvej Hussain Apr 2024

Mediating Effect Of Bmi On The Association Of Economic Status And Coexistence Of Hypertension And Diabetes In Bangladesh: A Counterfactual Framework-Based Weighting Approach, Foyez , Md. Jamal Hossain Ahmmed, Md. Jamal Hossain, Md Tareq Ferdous Khan, Muhammad Mahabub Rahaman Manik, Saimon Shahriar, Dulal Chandra Nandi, Md Parvej Hussain

Mathematics and Statistics Faculty Publications

Background and Aims

Non-communicable diseases such as hypertension and diabetes are matters of huge concern worldwide, with an increasing trend in prevalence over the previous decade. First of all, this study aimed to evaluate the association between economic status (ES) and body mass index (BMI), ES and comorbidity of hypertension and diabetes, and BMI and comorbidity independently. Second, it explored the mediating role of BMI in the association between ES and comorbidity of hypertension and diabetes. Finally, it investigated whether the mediating effect differs with the place of residence, gender, and education levels.

Methods

A total of 11,291 complete cases …


Mean Flow And Dispersion In The Western Mediterranean Sea From Drifter Observations, Helga Huntley, James Turbett, A.D. Kirwan, Jr., Pierre-Marie Poulain Apr 2024

Mean Flow And Dispersion In The Western Mediterranean Sea From Drifter Observations, Helga Huntley, James Turbett, A.D. Kirwan, Jr., Pierre-Marie Poulain

College of Science & Mathematics Departmental Research

Currents in the ocean distribute water masses and everything floating in them. To understand how fast the water (and its flotsam) travels and how effectively it mixes, we need to study the flow statistics. There are two types of measurements of ocean currents: Eulerian measurements that look at how the ocean velocities change at a stationary point on the Earth; and Lagrangian measurements that follow a water mass. Dispersion and mixing is generally best captured by Lagrangian measurements. At the submesoscale (~10-1 – 10 km), the observational tool of choice are drifters, or floating buoys, tethered to a drogue that …


Comparison Of Emissions Across Tobacco Products: A Slippery Slope In Tobacco Control, Ahmad El-Hellani, Ayomipo Adeniji, Hanno C. Erythropel, Thomas Lamb, Qixin Wang, Vladimir Mikheev, Robert Strongin, Multiple Additional Authors Apr 2024

Comparison Of Emissions Across Tobacco Products: A Slippery Slope In Tobacco Control, Ahmad El-Hellani, Ayomipo Adeniji, Hanno C. Erythropel, Thomas Lamb, Qixin Wang, Vladimir Mikheev, Robert Strongin, Multiple Additional Authors

Chemistry Faculty Publications and Presentations

In this narrative review, we highlight the challenges of comparing emissions from different tobacco products under controlled laboratory settings (using smoking/ vaping machines). We focus on tobacco products that generate inhalable smoke or aerosol, such as cigarettes, cigars, hookah, electronic cigarettes, and heated tobacco products. We discuss challenges associated with sample generation including variability of smoking/vaping machines, lack of standardized adaptors that connect smoking/vaping machines to different tobacco products, puffing protocols that are not representative of actual use, and sample generation session length (minutes or number of puffs) that depends on product characteristics. We also discuss the challenges of physically …


Statistics Pedagogy: Modernizing Introductory College Statistics Courses For Students With Non-Stem Majors, Samantha Hazan Apr 2024

Statistics Pedagogy: Modernizing Introductory College Statistics Courses For Students With Non-Stem Majors, Samantha Hazan

Honors Projects in Mathematics and Economics

With the growing role of technology in society, statistics and statistical literacy have become ever more important. In reaction to this, many colleges now require students, regardless of major, to take an introductory statistics course. The intention behind this is to create a workforce of people who are capable of reasoning about statistics. While good intentioned, preliminary research suggests that current statistics curriculum is not effective in instilling the necessary skills to achieve statistical literacy, particularly for students not majoring in a STEM field. For this reason, this thesis looks to empirically evaluate how the disjuncture between teaching statistics and …


Smu Libraries – An Enabling Partner In Ai Information Literacy, Samantha Seah, Zhe Benedict Yeo, Lukas Tschopp Apr 2024

Smu Libraries – An Enabling Partner In Ai Information Literacy, Samantha Seah, Zhe Benedict Yeo, Lukas Tschopp

Research Collection Library

SMU Libraries plays a pivotal role in advancing AI information literacy within the larger need for digital literacy skills in the SMU community. In this presentation, participants will get an overview of SMU Libraries' engagement and partnerships with the academic community and will showcase initiatives and resources supporting AI literacy. This includes a discussion of insights from the scholarly literature, research findings and critical perspectives to inform teaching and learning practices related to AI. Speakers will share SMU Libraries’ contributions towards awareness and adoption of AI through a portfolio of successful collaborations and initiatives with partners and stakeholders within and …


Regional Differences Of Climate Change In Maine: Flow Rates, Precipitation, And Snowpack, Caitlyn Rose Daigle, Alex James Debo, Jason Daniel Moore, Lucky Mourredes, Cara Wren Perry, Eme L. Saverese, Kennedy Grace Todd, Sophia Lydia Winters Apr 2024

Regional Differences Of Climate Change In Maine: Flow Rates, Precipitation, And Snowpack, Caitlyn Rose Daigle, Alex James Debo, Jason Daniel Moore, Lucky Mourredes, Cara Wren Perry, Eme L. Saverese, Kennedy Grace Todd, Sophia Lydia Winters

Research Learning Experiences (RLEs)

● Maine winters are changing rapidly, associated with changes in climate.

● These climate-linked changes are implicated in flooding, changes in snowpack, and changes in flow regimes in Maine.

● In this study, four different regions in Maine were analyzed to evaluate changes over time in snowpack, river ice, fall-through-spring precipitation,February Snowpack water equivalent


“Making The Bed”: Challenging Ideologies Of Ownership, Nonlocality, And Romanticism In The Age Of The Anthropocene, Ainsley P. Foster Apr 2024

“Making The Bed”: Challenging Ideologies Of Ownership, Nonlocality, And Romanticism In The Age Of The Anthropocene, Ainsley P. Foster

Belmont University Research Symposium (BURS)

The current Age of the Anthropocene marks a recent and rapid transition into a period in climate history that is notably defined by human impact. Modern Western sentiments of grief, frustration, and romanticism as a result of the interplay between domestic and corporate spaces seem to culminate in an overall attitude of apathy and acceptance of the Age of the Anthropocene. Various art forms collaborate to create the current conversation of the causatory and reactionary relationship that humans have with the Anthropocene, offering interpretations of how individuals and corporations view ownership of and responsibilities to the environment. There is a …


Health And Healthcare: Designing For The Social Determinants Of Health And Blue Zones In North Nashville, Rebecca Tonguis, Honor Thomas, Olivia Hobbs Apr 2024

Health And Healthcare: Designing For The Social Determinants Of Health And Blue Zones In North Nashville, Rebecca Tonguis, Honor Thomas, Olivia Hobbs

Belmont University Research Symposium (BURS)

Owned by North Nashville’s First Community Church, a now empty site in the Osage-North Fisk neighborhood of North Nashville has been identified as a potential site for a new location of The Store, in addition to a community-centric architectural development based on the social determinants of health and informed by the principles behind Blue Zones, the locations with the highest lifespans in the world. Opened by Brad Paisley and Kimberly Williams-Paisley, The Store is a free grocery store that “allow[s] people to shop for their basic needs in a way that protects dignity and fosters hope”, for which North Nashville …


Demographic Data Analysis For Measuring Economic Impact Of The Branch Of Nashville, Tessa Pendleton, Annie Wardroup, Nicole Speyrer, Kimberly Amaya Hernandez Apr 2024

Demographic Data Analysis For Measuring Economic Impact Of The Branch Of Nashville, Tessa Pendleton, Annie Wardroup, Nicole Speyrer, Kimberly Amaya Hernandez

Belmont University Research Symposium (BURS)

As part of the Global Honors Scholars Collaborative, researchers aggregated data from The Belmont Data Collaborative to analyze the three primary ZIP codes (37211, 37013, 37217) served by The Branch of Nashville. These communities include immigrant and refugee populations, whom The Branch supports through its food bank, English classes, and further comprehensive care. Future program development will rely on the analysis of the current client base and eventual assessment of The Branch’s economic impact on the surrounding community. The goal of this research for The Branch of Nashville is twofold: (1) analyze the existing demographics within the above ZIP codes …


Performance Outcomes In Introductory Statistics: R Vs. Spss Usage At A Community College, Venessa Singhroy Ph.D., Bianca Sosnovski Apr 2024

Performance Outcomes In Introductory Statistics: R Vs. Spss Usage At A Community College, Venessa Singhroy Ph.D., Bianca Sosnovski

Publications and Research

This dataset corresponds to a study investigating the performance outcomes of students enrolled in two sections of an introductory statistics course at a community college in New York. The study, titled "Examining Differences in Performance Outcomes between Statistics Classes using High-coding vs. Low-coding Statistical Software Packages," explores the impact of utilizing different statistical software packages (R and SPSS) on student performance and motivation. The dataset comprises assessments administered to participants, including the Mathematics Motivation Questionnaire, Reading Comprehension Assessment, Algebra Assessment, Statistics Assessment, and Coding Assessment. Participants were divided into two sections: one utilizing R and the other utilizing SPSS for …


Climate Change And Voluntary Private Land Conservation: A Case Study Of Working Lands For Wildlife, Abigail Thompson Apr 2024

Climate Change And Voluntary Private Land Conservation: A Case Study Of Working Lands For Wildlife, Abigail Thompson

School of Professional Studies

This case study examines the role, impact, and future of voluntary private land conservation (VPLC) programs, with a particular focus on the U.S. Department of Agriculture’s Working Lands for Wildlife (WLFW) initiative. Climate change and population growth pose a significant threat to public land conservation, making alternative methods like WLFW increasingly important. WLFW is a relatively successful and well-received program, but it is still young and comparatively smaller than other VPLC programs operated by the government. Publications by the U.S. Department of Agriculture, WLFW partner organizations, and relevant scholarly articles were utilized in order to assess WLFW’s success independently and …


Non-Native Rhizophora Mangle As Sinks For Coastal Contamination On Moloka’I, Hawai’I, Geoffrey Szafranski, Elise F. Granek, Michelle L. Hladik, Mia Hackett Apr 2024

Non-Native Rhizophora Mangle As Sinks For Coastal Contamination On Moloka’I, Hawai’I, Geoffrey Szafranski, Elise F. Granek, Michelle L. Hladik, Mia Hackett

Environmental Science and Management Faculty Publications and Presentations

Coastal mangrove forests provide a suite of environmental services, including sequestration of anthropogenic contamination. Yet, research lags on the environmental fate and potential human health risks of mangrove-sequestered contaminants in the context of mangrove removal for development and range shifts due to climate change. To address this, we conducted a study on Moloka'i, Hawai'i, comparing microplastic and pesticide contamination in coastal compartments both at areas modified by non-native red mangroves (Rhizophora mangle) and unmodified, open coastline. Sediment, porewater, and mangrove plant tissues were collected to quantify microplastic and pesticide concentrations across ecosystem type. Average microplastics were similar between …


Finding The Perfect Purple: An Exploration Of Glaze Making And Chemical Safety In The Pottery Studio, Kara Eppard, Michael Hough Apr 2024

Finding The Perfect Purple: An Exploration Of Glaze Making And Chemical Safety In The Pottery Studio, Kara Eppard, Michael Hough

ASPIRE 2024

This project was undertaken as an IDS-100H course linkage between ceramics and chemistry. Through time spent reviewing literature and time in the studio, a project was developed that allowed the application of technical skills of each discipline in a creative fashion. The creative focus of the project was to find a suitable purple glaze to utilize on a previously thrown pottery collection. During the project techniques in glaze making were explored. Over 25 glazes were tested, and two firing techniques were explored. Additionally, safety within the pottery studio was increased through aspects such as the development of an MSDS, and …


Visualizing The Standard Deviation Via Revolution Using R/Rstudio, Hieu Nguyen '25, Trung Pham '25, Mamunur Rashid, Jyotirmoy Sarkar Apr 2024

Visualizing The Standard Deviation Via Revolution Using R/Rstudio, Hieu Nguyen '25, Trung Pham '25, Mamunur Rashid, Jyotirmoy Sarkar

Student Research

The standard deviation is a commonly used statistical measure to quantify the level of variation present in a set of numbers or in a random variable. Sarkar and Rashid (2016) introduced an interpretation of the population standard deviation as the radius of a cylinder with a volume equivalent to that of the solid of revolution when the 2-D graph of the empirical cumulative distribution function is revolved about the vertical line through the mean. This article demonstrates step-by-step how to use the RevSD package in R/RStudio to visualize the standard deviation of data using this innovative technique. The RevSD package …


Water Current, Volume 56, No. 1, Spring 2024 Apr 2024

Water Current, Volume 56, No. 1, Spring 2024

Water Current Newsletter

No abstract provided.


How Difficult Is It To Comprehend A Program That Has Significant Repetitions: Fuzzy-Related Explanations Of Empirical Results, Christian Servin, Olga Kosheleva, Vladik Kreinovich Apr 2024

How Difficult Is It To Comprehend A Program That Has Significant Repetitions: Fuzzy-Related Explanations Of Empirical Results, Christian Servin, Olga Kosheleva, Vladik Kreinovich

Departmental Technical Reports (CS)

In teaching computing and in gauging the programmers' productivity, it is important to property estimate how much time it will take to comprehend a program. There are techniques for estimating this time, but these techniques do not take into account that some program segments are similar, and this similarity decreases the time needed to comprehend the second segment. Recently, experiments were performed to describe this decrease. These experiments found an empirical formula for the corresponding decrease. In this paper, we use fuzzy-related ideas to provide commonsense-based theoretical explanation for this empirical formula.


Mcfadden's Discrete Choice And Softmax Under Interval (And Other) Uncertainty: Revisited, Bartlomiej Jacek Kubica, Olga Kosheleva, Vladik Kreinovich Apr 2024

Mcfadden's Discrete Choice And Softmax Under Interval (And Other) Uncertainty: Revisited, Bartlomiej Jacek Kubica, Olga Kosheleva, Vladik Kreinovich

Departmental Technical Reports (CS)

Studies of how people actually make decisions have led to an empirical formula that predicts the probability of different decisions based on the utilities of different alternatives. This formula is known as McFadden's formula, after a Nobel prize winning economist who discovered it. A similar formula -- known as softmax -- describes the probability that the classification predicted by a deep neural network is correct, based on the neural network's degrees of confidence in the object belonging to each class. In practice, we usually do not know the exact values of the utilities -- or of the degrees of confidence. …


Why Bernstein Polynomials: Yet Another Explanation, Olga Kosheleva, Vladik Kreinovich Apr 2024

Why Bernstein Polynomials: Yet Another Explanation, Olga Kosheleva, Vladik Kreinovich

Departmental Technical Reports (CS)

In many computational situations -- in particular, in computations under interval or fuzzy uncertainty -- it is convenient to approximate a function by a polynomial. Usually, a polynomial is represented by coefficients at its monomials. However, in many cases, it turns out more efficient to represent a general polynomial by using a different basis -- of so-called Bernstein polynomials. In this paper, we provide a new explanation for the computational efficiency of this basis.


Somewhat Surprisingly, (Subjective) Fuzzy Technique Can Help To Better Combine Measurement Results And Expert Estimates Into A Model With Guaranteed Accuracy: Digital Twins And Beyond, Niklas Winnewisser, Michael Beer, Olga Kosheleva, Vladik Kreinovich Apr 2024

Somewhat Surprisingly, (Subjective) Fuzzy Technique Can Help To Better Combine Measurement Results And Expert Estimates Into A Model With Guaranteed Accuracy: Digital Twins And Beyond, Niklas Winnewisser, Michael Beer, Olga Kosheleva, Vladik Kreinovich

Departmental Technical Reports (CS)

To understand how different factors and different control strategies will affect a system -- be it a plant, an airplane, etc. -- it is desirable to form an accurate digital model of this system. Such models are known as digital twins. To make a digital twin as accurate as possible, it is desirable to incorporate all available knowledge of the system into this model. In many cases, a significant part of this knowledge comes in terms of expert statements, statements that are often formulated by using imprecise ("fuzzy") words from natural language such as "small", "very possible", etc. To translate …


How To Gauge Inequality And Fairness: A Complete Description Of All Decomposable Versions Of Theil Index, Saeid Tizpaz-Niari, Olga Kosheleva, Vladik Kreinovich Apr 2024

How To Gauge Inequality And Fairness: A Complete Description Of All Decomposable Versions Of Theil Index, Saeid Tizpaz-Niari, Olga Kosheleva, Vladik Kreinovich

Departmental Technical Reports (CS)

In general, in statistics, the most widely used way to describe the difference between different elements of a sample if by using standard deviation. This characteristic has a nice property of being decomposable: e.g., to compute the mean and standard deviation of the income overall the whole US, it is sufficient to compute the number of people, mean, and standard deviation over each state; this state-by-state information is sufficient to uniquely reconstruct the overall standard deviation. However, e.g., for gauging income inequality, standard deviation is not very adequate: it provides too much weight to outliers like billionaires, and thus, does …


Update From Aristotle To Newton, From Sets To Fuzzy Sets, And From Sigmoid To Relu: What Do All These Transitions Have In Common?, Christian Servin, Olga Kosheleva, Vladik Kreinovich Apr 2024

Update From Aristotle To Newton, From Sets To Fuzzy Sets, And From Sigmoid To Relu: What Do All These Transitions Have In Common?, Christian Servin, Olga Kosheleva, Vladik Kreinovich

Departmental Technical Reports (CS)

In this paper, we show that there is a -- somewhat unexpected -- common trend behind several seemingly unrelated historic transitions: from Aristotelian physics to modern (Newton's) approach, from crisp sets (such as intervals) to fuzzy sets, and from traditional neural networks, with close-to-step-function sigmoid activation functions to modern successful deep neural networks that use a completely different ReLU activation function. In all these cases, the main idea of the corresponding transition can be explained, in mathematical terms, as going from the first order to second order differential equations.


How To Make A Decision Under Interval Uncertainty If We Do Not Know The Utility Function, Jeffrey Escamilla, Vladik Kreinovich Apr 2024

How To Make A Decision Under Interval Uncertainty If We Do Not Know The Utility Function, Jeffrey Escamilla, Vladik Kreinovich

Departmental Technical Reports (CS)

Decision theory describes how to make decisions, in particular, how to make decisions under interval uncertainty. However, this theory's recommendations assume that we know the utility function -- a function that describes the decision maker's preferences. Sometimes, we can make a recommendation even when we do not know the utility function. In this paper, we provide a complete description of all such cases.


Paradox Of Causality And Paradoxes Of Set Theory, Alondra Baquier, Bradley Beltran, Gabriel Miki-Silva, Olga Kosheleva, Vladik Kreinovich Apr 2024

Paradox Of Causality And Paradoxes Of Set Theory, Alondra Baquier, Bradley Beltran, Gabriel Miki-Silva, Olga Kosheleva, Vladik Kreinovich

Departmental Technical Reports (CS)

Logical paradoxes show that human reasoning is not always fully captured by the traditional 2-valued logic, that this logic's extensions -- such as multi-valued logics -- are needed. Because of this, the study of paradoxes is important for research on multi-valued logics. In this paper, we focus on paradoxes of set theory. Specifically, we show their analogy with the known paradox of causality, and we use this analogy to come up with similar set-theoretic paradoxes.