Intellectual History Commons^™

The Roaring Lion Of Berlin: The Life, Thought, And Influence Of Eugen Dühring, Arden Roy

Undergraduate Research Symposium

The life and influence of 19th-century German polymath Eugen Dühring remain but a mere footnote in the history of ideas, being primarily relegated to the status of little more than a theoretical rival to Marxism in the German socialist movement and the occasional object of Freidrich Nietzsche's rhetorical flogging. Despite the current consensus on the subject, Eugen Dühring was a scholar of vast, remarkable learnedness, contributing greatly to philosophy, economics, and the natural sciences. The aim of this talk will be to clear the fog surrounding the life and work of the controversial blind scholar and give an account of …

Unknowable Truths: The Incompleteness Theorems And The Rise Of Modernism, Caroline Tvardy

Honors Scholars Collaborative Projects

This thesis evaluates the function of the current history of mathematics methodologies and explores ways in which historiographical methodologies could be successfully implemented in the field. Traditional approaches to the history of mathematics often lack either an accurate portrayal of the social and cultural influences of the time, or they lack an effective usage of mathematics discussed. This paper applies a holistic methodology in a case study of Kurt Gödel’s influential work in logic during the Interwar period and the parallel rise of intellectual modernism. In doing so, the proofs for Gödel’s Completeness and Incompleteness theorems will be discussed as …

The World As We Know It: Maps And Atlases From Special Collections, Archives And Special Collections, Luke Meagher

Library Exhibits

Selections of maps and atlases from Sandor Teszler Library’s Special Collections are presented in this exhibit to show how, over time, cartographers have represented the world as we know it.

To Know The Land With Hands And Minds: Negotiating Agricultural Knowledge In Late-Nineteenth-Century New England And Westphalia, Justus Hillebrand

Electronic Theses and Dissertations

Ever since the eighteenth century, experts have tried to tell farmers how to farm. The agricultural enlightenment in Europe marked the beginning of a long arc of new experts aiming to change agricultural knowledge and practice. This dissertation analyzes the pivotal period in the late nineteenth and early twentieth century in Germany and the United States when scientists, improvers, and market agents began to develop comprehensive ways to communicate agricultural innovation to farmers. In a functional approach to analyzing the negotiation of agricultural knowledge through its communication in things, words, and practices, this dissertation argues that the process of change …

Irrational Philosophy? Kronecker's Constructive Philosophy And Finding The Real Roots Of A Polynomial, Richard B. Schneider

Rose-Hulman Undergraduate Mathematics Journal

The prominent mathematician Leopold Kronecker (1823 – 1891) is often relegated to footnotes and mainly remembered for his strict philosophical position on the foundation of mathematics. He held that only the natural numbers are intuitive, thus the only basis for all mathematical objects. In fact, Kronecker developed a complete school of thought on mathematical foundations and wrote many significant algebraic works, but his enigmatic writing style led to his historical marginalization. In 1887, Kronecker published an extended version of his paper, “On the Concept of Number,” translated into English in 2010 for the first time by Edward T. Dean, who …

The Bioethical Significance Of “The Origin Of Man’S Ethical Behavior” (October 1941, Unpublished) By Ernest Everett Just And Hedwig Anna Schnetzler Just, Theodore Walker Jr.

Journal of the South Carolina Academy of Science

Abstract –

E. E. Just (1883-1941) is an acknowledged “pioneer” in cell biology, and he is perhaps the pioneer in study of egg cell fertilization. Here we discover that Just also made pioneering contributions to general biology and evolutionary bioethics.

Within Just’s published contributions to observational cell biology, there are substantial fragments of his theory of ethical behavior, a theory with roots in cell biology. In addition to such previously available fragments, Just’s fully developed theory is now available. This recently discovered unpublished book-length manuscript argues for the biological origins of ethical behavior (evolving from cells to humans, within a …

“Distance Learning” In The Ninth Century?: Micro-Cluster Analysis Of The Epistolary Network Of Alcuin After 796, William James Mattingly

Theses and Dissertations--History

Scholars of eighth- and ninth-century education have assumed that intellectuals did not write works of Scriptural interpretation until that intellectual had a firm foundation in the seven liberal arts.This ensured that anyone who embarked on work of Scriptural interpretation would have the required knowledge and methods to read and interpret Scripture correctly. The potential for theological error and the transmission of those errors was too great unless the interpreter had the requisite training. This dissertation employs computistical methods, specifically the techniques of social network mapping and cluster analysis, to study closely the correspondence of Alcuin, a late-eighth- and early-ninth-century scholar …

Like Father, Like Son: Modelling Masculinity For The Ethical Leadership Of President Theodore Roosevelt, Elizabeth Summerfield

The Journal of Values-Based Leadership

President Theodore Roosevelt is frequently portrayed as a rugged, hypermasculine cowboy. But this depiction ignores the powerful modelling for masculine leadership provided by his father, Theodore Roosevelt senior. A closer examination of the private and public spheres that framed the latter’s life offers another route into understanding the ethical and rational motivations that characterised his progressive Presidency, not least in the area of natural resource management, where his policy innovations were both unprecedented and sustained over time. What emerges is a more complex portrait than the above stereotype, a leader who used his heart, head and experience to think and …

Rudolf Laban's Dream: Re-Envisioning And Re-Scoring Ballet, Choreutics, And Simple Functional Movements With Vector Signs For Deflecting Diagonal Inclinations, Jeffrey Scott Longstaff

Journal of Movement Arts Literacy Archive (2013-2019)

Several methods of movement notation, forerunners of modern-day Labanotation/Kinetography were published by Rudolf Laban in his 1926 book Choreographie. One of these has been referred to as vector signs because they represent movement as orientations (slopes) of lines through space. This article begins by comparing Labanotation direction symbols with Laban's earlier vector signs by looking at differences when simple sequences are scored in both formats. Concepts of space within the vector signs are examined, particularly Laban's idea of deflecting inclinations where movements are categorized as mixtures of two fundamental contrasting spatial and dynamic tendencies: dimensional stability and diagonal mobility. This …

Radical Social Ecology As Deep Pragmatism: A Call To The Abolition Of Systemic Dissonance And The Minimization Of Entropic Chaos, Arielle Brender

Student Theses 2015-Present

This paper aims to shed light on the dissonance caused by the superimposition of Dominant Human Systems on Natural Systems. I highlight the synthetic nature of Dominant Human Systems as egoic and linguistic phenomenon manufactured by a mere portion of the human population, which renders them inherently oppressive unto peoples and landscapes whose wisdom were barred from the design process. In pursuing a radical pragmatic approach to mending the simultaneous oppression and destruction of the human being and the earth, I highlight the necessity of minimizing entropic chaos caused by excess energy expenditure, an essential feature of systems that aim …

Edgar Allan Poe’S Cosmology And Natural Theology: A Constructive Postmodern Appreciation, Theodore Walker

Perkins Faculty Research and Special Events

Contrary to some literary classifications, Edgar Allan Poe’s book-length prose poem Eureka is not intended to be fiction. In Eureka Poe was seriously attempting to advance ‘truth’ about the universe. Poe was doing natural science and poetry in the tradition of Samuel Taylor Coleridge and other natural philosophers. Poe’s prose poem is natural scientific astronomy and cosmology, plus natural theology, not science fiction.

Gottfried W. Leibnez, Brittany Ratliff

Mathematics Class Publications

Gottfried W. Leibniz was a philosopher and mathematician who lived in Germany from 1646 to 1716. He first gained a bachelor's degree in philosophy, then later earned one in law. As his life went on, he made many contributions to the mathematical world. From discovering differential and integral calculus to creating the binary system of arithmetic, Leibniz changed today's world. He worked also with physics, dynamics, and attempted to create a calculating machine. While making these discoveries, he had the privilege of working with many different scholars and mathematicians, namely Weigel, Boineburg, and Huygens. With the help and guidance of …

Rationality, Parapsychology, And Artificial Intelligence In Military And Intelligence Research By The United States Government In The Cold War, Guy M. Lomeo

Theses and Dissertations

A study analyzing the roles of rationality, parapsychology, and artificial intelligence in military and intelligence research by the United States Government in the Cold War. An examination of the methodology behind the decisions to pursue research in two fields that were initially considered irrational.

In Continuity With The Past: Indigenous Environmentalism And Indian Christian Visions Of Flora, James Ponniah

Journal of Global Catholicism

This article considers whether Indian Christianity can be said to have a distinctive ecological vision. The first two parts of the article examine Christian environmentalism in two native forms of Indian Christianity: Tamil Christianity and Tribal Christianity. Continuing with the theme of conformity to the local culture—though of the elite—the third part of the article investigates how Christian Ashrams function as dynamic centers for ecological praxis. The last part of the article considers how contemporary Indian Christian communities can respond to the ecological challenges confronting them.

The Evolution Of Cryptology, Gwendolyn Rae Souza

Electronic Theses, Projects, and Dissertations

We live in an age when our most private information is becoming exceedingly difficult to keep private. Cryptology allows for the creation of encryptive barriers that protect this information. Though the information is protected, it is not entirely inaccessible. A recipient may be able to access the information by decoding the message. This possible threat has encouraged cryptologists to evolve and complicate their encrypting methods so that future information can remain safe and become more difficult to decode. There are various methods of encryption that demonstrate how cryptology continues to evolve through time. These methods revolve around different areas of …

On Emmy Noether And Her Algebraic Works, Deborah Radford

All Student Theses

In the early 1900s a rising star in the mathematics world was emerging. I will discuss her life as a female mathematician and the struggles she faced being a rebel in her time. I will also take an in depth look at some of her contributions to the mathematics and science community . Her work in algebra and more specifically, ring theory, are said to be foundations for much of the work done since then. Her developments in abstract algebra helped to unify topology, geometry, logic and linear algebra. Also, Noether's theorem is a widely used theorem in physics along …

The Discipline Of History And The “Modern Consensus In The Historiography Of Mathematics”, Michael N. Fried

Journal of Humanistic Mathematics

Teachers and students of mathematics often view history of mathematics as just mathematics as they know it, but in another form. This view is based on a misunderstanding of the nature of history of mathematics and the kind of knowledge it attempts to acquire. Unfortunately, it can also lead to a deep sense of disappointment with the history of mathematics itself, and, ultimately, a misunderstanding of the historical nature of mathematics. This kind of misunderstanding and the disappointment following from it--both raised to the level of resentment--run through the paper "A Critique of the Modern Consensus in the Historiography of …

The Efficacy Of Mathematics Education, Eric Geimer

The STEAM Journal

Evidence supports the notion that mathematics education in the United States is inadequate. There is also evidence that mathematics education deficiencies extend internationally. The worldwide mathematics education deficit appears large enough that improving student performance in this educational problem area could yield great economic benefit. To improve the efficacy of mathematics education, education’s root problems must first be understood. Often supposed educational root problems are considered and contrasted against potential deficiencies of mathematics methodologies and curricula that are based on mainstream educational philosophies. The educational philosophies utilized to form early-grade mathematics methodologies and related curricula are judged to be the …

Euler E271 : A Link Between Mathematics Of Yesterday, Today, And Tomorrow, Sarah Ann Nelson

Honors Theses

The major focus of this departmental thesis was to complete t he first English translation of E271 Arithmetic Theorems Proven by a New Method, a mathematical treatise published by Leonhard Euler in Latin in 1761. Most importantly, E271 contains Euler's generalization of Fermat's Litt le Theorem and an exploration of the properties of (n). Altogether, this paper includes an Abstract, Introduction, Note to the Readers, Translation of Arithmetic Theorems Proven by a New Method, Epilogue, and References. More specifically, the Introduction is about the historical background of the mathematics and applications leading up to E271 and the key corresponding mathematicians. …

History Of Mathematics, An Intuitive Approach, Alejandro R. Garciadiego

Humanistic Mathematics Network Journal

The main goal of this essay is to discuss, informally, an intuitive approach to the history of mathematics as an academic discipline. The initial point of departure includes the analysis of some traditional definitions of the concept of 'history' taken from standard dictionaries. This concise dissection attempts to suggest the complexity of the discipline.

Hamilton's Icosian Calculus And His Icosian Game, Katye O. Sowell

Humanistic Mathematics Network Journal

No abstract provided.

A Note On The Decimal Numeral System, Shaharir Bin Mohamad Zain

Humanistic Mathematics Network Journal

No abstract provided.

Ode To The Square Root: A Historical Journey, Dorothy W. Goldberg

Humanistic Mathematics Network Journal

The author gives a personal history of experiences in finding the square root of a number by the “do it thus” method—from algorithm to table to calculator. Why each procedure works is elucidated, making liberal use of the history of mathematics.

Anneli Lax: In Memoriam, Elena Anne Corie Marchisotto

Humanistic Mathematics Network Journal

No abstract provided.

An Informal History Of Classical Rhetoric For Mathematicians (Plato And Aristotle), Phillip Keith, Sandra Z. Keith

Humanistic Mathematics Network Journal

No abstract provided.

Book Reviews: Einstein, A Life, By Denis Brian, And The Silver Horse-Shoe, By Javad Tarjemanov, Harald M. Ness

Humanistic Mathematics Network Journal

No abstract provided.

Mathematicians Can Be Wrong, Tony Dunlop, Ken Kaminsky

Humanistic Mathematics Network Journal

No abstract provided.

Leibniz: His Philosophy And His Calculi, Eric Ditwiler

Humanistic Mathematics Network Journal

No abstract provided.

Al-Khawarizmi's Algebra: The First Paradigm In Algebra, Murad Jurdak

Humanistic Mathematics Network Journal

No abstract provided.

The Most Humanistic Mathematician: Florentin Smarandache, Joanne S. Growney

Humanistic Mathematics Network Journal

No abstract provided.