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Full-Text Articles in Philosophy

Book Review: What Is A Mathematical Concept? Edited By Elizabeth De Freitas, Nathalie Sinclair, And Alf Coles, Brendan P. Larvor Jul 2019

Book Review: What Is A Mathematical Concept? Edited By Elizabeth De Freitas, Nathalie Sinclair, And Alf Coles, Brendan P. Larvor

Journal of Humanistic Mathematics

This is a review of What is a Mathematical Concept? edited by Elizabeth de Freitas, Nathalie Sinclair, and Alf Coles (Cambridge University Press, 2017). In this collection of sixteen chapters, philosophers, educationalists, historians of mathematics, a cognitive scientist, and a mathematician consider, problematise, historicise, contextualise, and destabilise the terms ‘mathematical’ and ‘concept’. The contributors come from many disciplines, but the editors are all in mathematics education, which gives the whole volume a disciplinary centre of gravity. The editors set out to explore and reclaim the canonical question ‘what is a mathematical concept?’ from the philosophy of mathematics. This review comments ...


Reason In Motion, Luke Francis Nov 2018

Reason In Motion, Luke Francis

Student Works

This essay will explain the historical models of the solar system, which was the known universe for most of human history. There is far more to each model than simply positioning different celestial bodies at the center of the system, and the stories of the astronomers who derived the controversial theories are not discussed often enough. The creation of these theories is part of a much broader revolution in scientific thought and marked the start of a series of observational discoveries that would change the the philosophy of science for centuries to come.


The Participating Mind In The Quantum Universe, Menas Kafatos, Keun-Hang Susan Yang Jan 2018

The Participating Mind In The Quantum Universe, Menas Kafatos, Keun-Hang Susan Yang

Mathematics, Physics, and Computer Science Faculty Articles and Research

The Orthodox interpretation of quantum mechanics, which followed the Copenhagen Interpretation but was enhanced by primarily Werner Heisenberg and John von Neumann into a fully developed theory, brought in, among others, the role of measurement, available choices and response of the quantum system. It is, more consistent and clear than other interpretations of quantum mechanics as it provides account of the interactions of observers with the external world. As such, the Orthodox interpretation does a lot more than just account for physical interactions in the atomic world, which was the original goal of quantum mechanics in the early part of ...


Some Thoughts On The Epicurean Critique Of Mathematics, Michael Aristidou Jul 2017

Some Thoughts On The Epicurean Critique Of Mathematics, Michael Aristidou

Journal of Humanistic Mathematics

In this paper, we give a comprehensive summary of the discussion on the Epicurean critique of mathematics and in particular of Euclid's geometry. We examine the methodological critique of the Epicureans on mathematics and we assess whether a 'mathematical atomism' was proposed, and its implications. Finally, we examine the Epicurean philosophical stance on mathematics and evaluate whether it was on target or not.


Knowing How: A Computational Approach, Joseph A. Roman Apr 2017

Knowing How: A Computational Approach, Joseph A. Roman

Student Publications

With advances in Artificial Intelligences being achieved through the use of Artificial Neural Networks, we are now at the point where computers are able to do tasks that were previously only able to be accomplished by humans. These advancements must cause us to reconsider our previous understanding of how people come to know how to do a particular task. In order to unpack this question, I will first look to an account of knowing how presented by Jason Stanley in his book Know How. I will then look towards criticisms of this view before using evidence presented by the existence ...


The Philosophy And Physics Of Time Travel: The Possibility Of Time Travel, Ramitha Rupasinghe Jan 2017

The Philosophy And Physics Of Time Travel: The Possibility Of Time Travel, Ramitha Rupasinghe

Honors Capstone Projects

Time travel to the past is an alluring subject for many science fiction writers but is it really science fiction or is there a way to make it happen, possibly in the distant future? In the world of physics, time travel to the future has already been accomplished but time travel to the past seems to be a subject of controversy. Similarly, both philosophers and physicists cannot completely agree on one fundamental question about time: what is it? In this interdisciplinary project, I will explore the fundamental nature of time as a building block to help me understand time travel ...


Sentential Logic, Tony Roy Jul 2016

Sentential Logic, Tony Roy


Textbook for symbolic logic, beginning at a level appropriate for beginning students, continuing through Godel's completeness and incompleteness theorems. Excerpted from the longer text including chapter 1 and the first parts of chapters 2 - 7.

From the preface: There is, I think, a gap between what many students learn in their first course in formal logic, and what they are expected to know for their second. While courses in mathematical logic with metalogical components often cast only the barest glance at mathematical induction or even the very idea of reasoning from definitions, a first course may also leave these ...


Symbolic Logic, Tony Roy Jul 2016

Symbolic Logic, Tony Roy


Textbook for symbolic logic, beginning at a level appropriate for beginning students, continuing through Godel's completeness and incompleteness theorems.


From the preface: There is, I think, a gap between what many students learn in their first course in formal logic, and what they are expected to know for their second. While courses in mathematical logic with metalogical components often cast only the barest glance at mathematical induction or even the very idea of reasoning from definitions, a first course may also leave these untreated, and fail explicitly to lay down the definitions upon which the second course is based ...


Fundamental Awareness: A Framework For Integrating Science, Philosophy And Metaphysics, Neil D. Theise, Menas Kafatos May 2016

Fundamental Awareness: A Framework For Integrating Science, Philosophy And Metaphysics, Neil D. Theise, Menas Kafatos

Mathematics, Physics, and Computer Science Faculty Articles and Research

The ontologic framework of Fundamental Awareness proposed here assumes that non-dual Awareness is foundational to the universe, not arising from the interactions or structures of higher level phenomena. The framework allows comparison and integration of views from the three investigative domains concerned with understanding the nature of consciousness: science, philosophy, and metaphysics. In this framework, Awareness is the underlying reality, not reducible to anything else. Awareness and existence are the same. As such, the universe is non-material, self-organizing throughout, a holarchy of complementary, process driven, recursive interactions. The universe is both its own first observer and subject. Considering the world ...


Better Together Apr 2016

Better Together

DePaul Magazine

Faculty have taken full advantage of the university's innovative intercollegiate grant program, and the resulting research is as interesting and diverse as the collaborators themselves. What is resulting is research on "Patient and Primary Care Provider Perspectives on Recreational and Therapeutic Cannabis Use Within a Changing Socioculltural and Political Context;" a new minor in climate change science and policy; a new class, Communication, Coding and Entrepreneurship; brain inflammation research; and the project "Cosmology Meets Continental Philosophy: Natural Laws and Why There Is Something Rather Than Nothing"


Rare Books And Social Science, Donald J. Polzella Feb 2015

Rare Books And Social Science, Donald J. Polzella

Donald J. Polzella

An essay on the impact of the works in the Imprints and Impressions: Milestones in Human Progress, an exhibition of rare books from the collection of Stuart Rose. Exhibition was held Sept. 29-Nov. 9, 2014, at the University of Dayton.


Philosophy Of Mathematics: Theories And Defense, Amy E. Maffit Jan 2015

Philosophy Of Mathematics: Theories And Defense, Amy E. Maffit

Williams Honors College, Honors Research Projects

In this paper I discuss six philosophical theories of mathematics including logicism, intuitionism, formalism, platonism, structuralism, and moderate realism. I also discuss problems that arise within these theories and attempts to solve them. Finally, I attempt to harmonize the best features of moderate realism and structuralism, presenting a theory that I take to best describe current mathematical practice.


La Vie De Blaise Pascal Et Son Heritage Mathimatique Et Philosophique, Katherine Weeks Jun 2014

La Vie De Blaise Pascal Et Son Heritage Mathimatique Et Philosophique, Katherine Weeks

Honors Theses

This paper will discuss the life of Blaise Pascal, his philosophy and mathematics. We will first study the life of Pascal, by looking at his family, the success of his family, and how he was educated. We will then move onto study the history of the arithmetic triangle, which eventually becomes known as Pascal’s Triangle. Finally we will look at Pascal’s Pensées. Finally we will conclude that Pascal is not only known for Pascal’s Triangle but also his legacy in the Philosophic world. It becomes clear that Pascal would not have been the mathematician he was without ...


Books And Our Human Stories, Paul H. Benson Jan 2014

Books And Our Human Stories, Paul H. Benson

Philosophy Faculty Publications

An essay on the impact of the works in the Imprints and Impressions: Milestones in Human Progress, an exhibition of rare books from the collection of Stuart Rose. Exhibition was held Sept. 29-Nov. 9, 2014, at the University of Dayton.


Rare Books And Social Science, Donald J. Polzella Jan 2014

Rare Books And Social Science, Donald J. Polzella

Psychology Faculty Publications

An essay on the impact of the works in the Imprints and Impressions: Milestones in Human Progress, an exhibition of rare books from the collection of Stuart Rose. Exhibition was held Sept. 29-Nov. 9, 2014, at the University of Dayton.


The Fine-Tuning Of Nomic Behavior In Multiverse Scenarios, Max Lewis Edward Andrews May 2013

The Fine-Tuning Of Nomic Behavior In Multiverse Scenarios, Max Lewis Edward Andrews

Masters Theses

The multiverse hypothesis (the view that there is not just one world or universe in existence, bur rather that there are many) is the leading alternative to the competing fine-tuning hypothesis (the laws of physics and constants are fine-tuned for the existence of life). The multiverse dispels many aspects of the fine-tuning argument by suggesting that there are different initial conditions in each universe, varying constants of physics, and the laws of nature lose their known arbitrary values; thus, making the previous single-universe argument from fine- tuning incredibly weak. The position that will be advocated will be that a form ...


The Untenability Of A Priori Prior Probabilities In Objective Bayesian Conditionalization, C.S. Arledge Apr 2013

The Untenability Of A Priori Prior Probabilities In Objective Bayesian Conditionalization, C.S. Arledge

Senior Honors Theses

The problem of theory confirmation has been an issue in the philosophy of science for decades. Many valiant attempts have been made to formulate a generally accepted criterion for determining the validity of a scientific theory. Bayesian probability theory has been utilized in numerous attempts to examine the epistemic nature of theory confirmation and Jonathan Weisberg offers a formulation of Bayesian Conditionalization that he believes to be both objective and successful.

In this paper I intend to show the defects in Weisberg’s theory of objective Bayesian confirmation by utilizing the arguments of both W.V. Quine and Bas van ...


Transubstantiation And Quantum Physics: The Parallels Of Mystery In Religion And Science, Zachary Sexton Apr 2013

Transubstantiation And Quantum Physics: The Parallels Of Mystery In Religion And Science, Zachary Sexton

Spring 2013, Science and Religion

As the study of physics has progressed into the abstract realm of quanta, some have argued that the notion of transubstantiation is an unreasonable understanding of the Eucharist. However, when confronted with the uncertainty that modern physics presents, sharp parallels between this uncertainty and the metaphysical mysteries of transubstantiation. If it is reasonable to accept uncertainty in quantum physics, then it should be reasonable to accept the mysteries within the metaphysical world.


Heisenberg’S Uncertainty Principle, Matthew Santos Apr 2013

Heisenberg’S Uncertainty Principle, Matthew Santos

Spring 2013, Kuhn's Philosophy of Science

In 1926 Werner Heisenberg’s Uncertainty Principle set the field of quantum mechanics on a trajectory riddled with indeterminacy, a trajectory which stood in stark contrast with the classical Newtonian world causality and origin. In doing so, Heisenberg effectively created a new standard by which physicists conducted their science, broadened the scope of that science, and altered the very worldview of those physicists. Such paradigmatic upheaval fits the philosophical model of scientific progress posited by Thomas Kuhn. However, in the ever-changing and still-evolving world of quantum mechanics, Heisenberg’s revolutionary work uniquely strays from Kuhn’s model in its further ...


The Ever Changing Shape Of The Universe: A Kuhnian Analysis Of Edwin Hubble's Discoveries, John Bugnacki Apr 2013

The Ever Changing Shape Of The Universe: A Kuhnian Analysis Of Edwin Hubble's Discoveries, John Bugnacki

Spring 2013, Kuhn's Philosophy of Science

Thomas Kuhn, author of The Structure of Scientific Revolutions, sought to explain how science changes, functions, and advances. According to Kuhn, science periodically undergoes a paradigm-shift during which time the prevailing methodologies, theories, and commitments of normal-science are all thrown into question until a new dominant paradigm takes hold. However, as his career progressed and his critics railed against his new conception of scientific progress, Kuhn would emphasize the role of linguistic incommensurability in paradigm shifts over normal-science. In 1923, astronomer Edwin Hubble took the first steps toward the discovery of galaxies. In doing so, Hubble simultaneously drew upon the ...


The Reasonable Effectiveness Of Mathematics In The Natural Sciences, Nicolas Fillion Dec 2012

The Reasonable Effectiveness Of Mathematics In The Natural Sciences, Nicolas Fillion

Electronic Thesis and Dissertation Repository

One of the most unsettling problems in the history of philosophy examines how mathematics can be used to adequately represent the world. An influential thesis, stated by Eugene Wigner in his paper entitled "The Unreasonable Effectiveness of Mathematics in the Natural Sciences," claims that "the miracle of the appropriateness of the language of mathematics for the formulation of the laws of physics is a wonderful gift which we neither understand nor deserve." Contrary to this view, this thesis delineates and implements a strategy to show that the applicability of mathematics is very reasonable indeed.

I distinguish three forms of the ...


The Quantum Dialectic, Logan Kelley May 2011

The Quantum Dialectic, Logan Kelley

Pitzer Senior Theses

A philosophic account of quantum physics. The thesis is divided into two parts. Part I is dedicated to laying the groundwork of quantum physics, and explaining some of the primary difficulties. Subjects of interest will include the principle of locality, the quantum uncertainty principle, and Einstein's criterion for reality. Quantum dilemmas discussed include the double-slit experiment, observations of spin and polarization, EPR, and Bell's theorem. The first part will argue that mathematical-physical descriptions of the world fall short of explaining the experimental observations of quantum phenomenon. The problem, as will be argued, is framework of the physical descriptive ...


Rethinking Mechanistic Explanation, Stuart Glennan Feb 2011

Rethinking Mechanistic Explanation, Stuart Glennan

Stuart Glennan

Philosophers of science typically associate the causal-mechanical view of scientific explanation with the work of Railton and Salmon. In this paper I shall argue that the defects of this view arise from an inadequate analysis of the concept of mechanism. I contrast Salmon's account of mechanisms in terms of the causal nexus with my own account of mechanisms, in which mechanisms are viewed as complex systems. After describing these two concepts of mechanism, I show how the complex-systems approach avoids certain objections to Salmon's account of causal-mechanical explanation. I conclude by discussing how mechanistic explanations can provide understanding ...


The Exploratory Value Of Agent-Based Models In Social Science, Ricardo Andress Rivera Jan 2011

The Exploratory Value Of Agent-Based Models In Social Science, Ricardo Andress Rivera

Open Access Theses & Dissertations

N/A


Rethinking Mechanistic Explanation, Stuart Glennan Apr 2010

Rethinking Mechanistic Explanation, Stuart Glennan

Stuart Glennan

Philosophers of science typically associate the causal-mechanical view of scientific explanation with the work of Railton and Salmon. In this paper I shall argue that the defects of this view arise from an inadequate analysis of the concept of mechanism. I contrast Salmon's account of mechanisms in terms of the causal nexus with my own account of mechanisms, in which mechanisms are viewed as complex systems. After describing these two concepts of mechanism, I show how the complex-systems approach avoids certain objections to Salmon's account of causal-mechanical explanation. I conclude by discussing how mechanistic explanations can provide understanding ...


Creating A Warmer Environment For Women In The Mathematical Sciences And In Philosophy, Samantha Brennan, Rob Corless Dec 2008

Creating A Warmer Environment For Women In The Mathematical Sciences And In Philosophy, Samantha Brennan, Rob Corless

Samantha Brennan

No abstract provided.


The Apostle Table - Part Iii - Incompetent Endogenous Response Intransitivity, David Randall Jenkins Sep 2007

The Apostle Table - Part Iii - Incompetent Endogenous Response Intransitivity, David Randall Jenkins

David Randall Jenkins

The Apostle Table illustrates a New Testament encryption scheme revealed in the Book of Matthew. Specifically, the list of the twelve apostles in Matthew, 10:1-4, points to the Matthew, Chapters 8 and 9, disciple characterizations. The disciples metaphorically characterize the social choice theory aspect of the scripture writers' (ordered relations theory: social choice theory: welfare model) regression. The paper is written in two parts: I. The Exogenous Pressures; and, II. The Endogenous Response. Interestingly, the paper explains why the crucified Jesus could not get off the cross.


A Philosophical Examination Of Proofs In Mathematics, Eric Almeida Jan 2007

A Philosophical Examination Of Proofs In Mathematics, Eric Almeida

Undergraduate Review

No abstract provided.


Rethinking Mechanistic Explanation, Stuart Glennan Jan 2002

Rethinking Mechanistic Explanation, Stuart Glennan

Scholarship and Professional Work - LAS

Philosophers of science typically associate the causal-mechanical view of scientific explanation with the work of Railton and Salmon. In this paper I shall argue that the defects of this view arise from an inadequate analysis of the concept of mechanism. I contrast Salmon's account of mechanisms in terms of the causal nexus with my own account of mechanisms, in which mechanisms are viewed as complex systems. After describing these two concepts of mechanism, I show how the complex-systems approach avoids certain objections to Salmon's account of causal-mechanical explanation. I conclude by discussing how mechanistic explanations can provide understanding ...


The Deconstruction Of Mathematics: A Criticism Of Reuben Hersh's What Is Mathematics, Really? And The Humanist Philosophy Of Mathematics, David J. Stucki Jan 1999

The Deconstruction Of Mathematics: A Criticism Of Reuben Hersh's What Is Mathematics, Really? And The Humanist Philosophy Of Mathematics, David J. Stucki

Mathematics Faculty Scholarship

Mathematics, as an academic discipline, has stood for many years as the last bastion against a growing tide of intellectual relativism that has become all but ubiquitous. More recently, however, efforts have been made to "humanize" mathematics by advocating a social-constructivist approach to the philosophy of mathematics, both in practice and education. This paper is intended to serve as a critical response to one advocate of this approach, Reuben Hersh (What Is Mathematics, Really?, 1997), and in the process a defense of Platonism.