Philosophy of Science Commons^™

Why Read The Classics (Of Mathematical Proofs)?, Cosimo Perini Brogi

Journal of Humanistic Mathematics

Inspired by Italo Calvino’s (almost) homonymous writing, this short essay suggests a formal perspective to complement the typical categorisation of classical results in mathematics on aesthetic bases. The traditional proof that √2 is not a rational number provides a simple example of proof mining. When studied through the tools of logic, that proof has also led to designing new systems for formal proving based on cyclic proofs. This example thus supports the central thesis of this essay that reading the classics of mathematical proofs enables us to acquire a taste for mathematical beauty and can open new directions in mathematics …

The Epistemic Limits Of Evolutionary Debunking: An Evaluation Of Evolutionary Arguments Against Moral Realism, José Ernesto Guzmán

CGU Theses & Dissertations

Evolutionary debunking arguments contend that the evolutionary origins of moral belief undermine the epistemic standing of moral realism. Sharon Street's Darwinian Dilemma and Richard Joyce's genealogical undercutting argument represent the two most influential formulations of this challenge. This project subjects both to sustained internal critique and finds them wanting. The central contribution is a bridge-requirement framework identifying four principles (BR₁ through BR₄) that any evolutionary debunking argument must supply to move validly from genealogical premises to epistemic conclusions. BR₁ connects genealogy to justification. BR₂ connects population-level evolutionary explanations to individual-level epistemic consequences. BR₃ connects semantic features of moral discourse to …

Mathematics And Determinism: Chaos, Quantum Mechanics, And The Limits Of Predictive Structure, Jackson T. Salumbides

CMC Senior Theses

This thesis examines the relationship between mathematics and determinism by analyzing how chaos theory, quantum mechanics, and formal mathematical limits challenge traditional conceptions of predictability and causal structure. Chaos theory shows that deterministic systems can exhibit practical unpredictability due to sensitivity to initial conditions. Quantum mechanics introduces probabilistic outcomes that complicate deterministic interpretation, though alternative frameworks such as Bohmian mechanics and superdeterminism attempt to restore determinism at conceptual cost. Additionally, results from mathematical logic, including Gödel’s incompleteness theorems and Turing’s undecidability, demonstrate intrinsic limitations on what can be deduced or computed, even in fully deterministic systems. By synthesizing these areas, …

The Danger Of Deepfakes: Information Pollution And Epistemic Insecurity, Camille Doherty

CMC Senior Theses

This thesis examines the dangers of deepfakes to democratic stability, emphasizing their capacity to pollute our information ecosystem and undermine trust in media. Beyond the immediate political harms from deepfake incidents, deepfakes are troubling for their impact on our collective relationship to media, truth, and one another. As exposure to deepfakes becomes more common, discerning fact from fiction will become increasingly difficult. Over time, this could foster widespread skepticism of all media and, worse, apathy toward truth itself. With eroded trust and shared truths, democracies risk losing epistemic security – the foundation for informed deliberation, decision-making, and accountability in democratic …

The Standing Of Anger: Insights From The Debate(S) On Constructed Emotion, Andrew Holzer

CMC Senior Theses

In her book, Anger and Forgiveness: Resentment, Generosity, Justice, Martha Nussbaum argues that anger is inherently flawed because it fundamentally contains the desire for payback. To support her argument, she posits specific metaphysical claims about the nature of emotions like anger. This thesis is an extended critique of her metaphysical foundation from the perspective of empirical research in the neuroscience of emotion. The first reason to dispute this picture is descriptive; this view of anger is based on an outdated version of cognitive appraisal theory, which sees emotions as triggered directly by static moments of cognitive appraisal. The second …

Recognition And Domination: A Hegelian Approach To Evolving Gender And Technology Paradigms, Zachary Davis

CMC Senior Theses

This paper aims to develop a strong account of recognition. It begins with a Hegel-inspired account of recognition as a fundamental desire that drives humanity. This account establishes recognition as fundamental to the initial subject formation of independent self-consciousnesses as agents. I offer the lord-bondsman dualism to provide a critique of domination as oppositional to securing the means for recognition. This entails that, as history progresses the world ought to move towards universally adopting mutual recognition relationships without domination. I adopt this goal as an ideal form of recognition. In Chapter 2, I apply this recognitional framework to gender. Through …

Invisible Things: An Inquiry Into The Laws Of Nature, Abigail Tulenko

Scripps Senior Theses

What are the laws of nature? Are they abstract entities that govern physical processes? Or are they merely useful summaries that describe patterns in nature? In this thesis, I explore offer arguments for the former view– what is known as inflationism regarding laws of nature. It is my hope that by excavating and evaluating the role epistemological concerns have played in this debate, we may find new avenues to break this long-standing metaphysical stalemate

Parallels Of Quantum Mechanics And Mahāyāna Buddhist Philosophy: An Argument For Relational Quantum Mechanics, Axel I. Palapa

CMC Senior Theses

Western orthodoxy philosophy is based on the principle of noncontradiction and thus, the philosophy of science is as well. The most prominent interpretations of quantum mechanics, since its inception, have followed this principle. In this paper, two quantum phenomena, the Observer Problem (measurement problem) and quantum entanglement will be analyzed from a Mahayana Buddhism ontological perspective. I will analyze the mathematical and philosophical arguments proposed by Graham Priest and Jay Garfield, based on dialethism, pertaining to Nagarjuna and the Net of Indra. Demonstrating the parallels and adaptability of the arguments to further the philosophical groundwork for Carlo Reveille’s Relational Quantum …

The Psychosomatic Journey Of Trauma And Its Healing: A Comparative Synthesis Between Scientific And Psycho-Spiritual Perspectives, Isabel Kelly

Pomona Senior Theses

The purpose of this paper is to create a comparative synthesis between scientific perspectives and spiritual perspectives of understanding the psychosomatic (mind-body) nature of trauma. In order to do so we will consider the works of Dr.Bessel van der Kolk, a world-leading psychiatrist in the field of trauma therapy who advocates for the use of body-oriented approaches to healing, and the works of Carl Jung and Donald Kalsched. Jung is considered one of the founding fathers of the field of Transpersonal Psychology, while Kalsched is a Jungian psychoanalyst who specializes in working with trauma patients. We will see that while …

Maths Living In Social Arenas, From Practice To Foundations, Nigel Vinckier

Journal of Humanistic Mathematics

Maths comes to life in human interaction. This has consequences for the mathematics itself. This paper discusses how this ``coming to life'' of mathematics in different social arenas influences the foundations of maths. We will argue that this influence is profound, to the extent that it is hard to upkeep the idea that there is or should be one foundation on which all mathematics can be built.

Towards A Critical Understanding Of Deepfakes: Developing A Teaching Module And More, Wentao Guo

Pomona Senior Theses

Recently, computer-generated and computer-altered videos known as deepfakes have raised widespread concerns about the harms they may cause to democratic elections, national security, people’s reputation, and people’s autonomy over their words and actions as represented in videos and other media. How can we build towards a critical understanding of not only deepfakes, but also photos, videos, and the role of many other media objects surrounding us that inform us about the world? In this thesis, wanting to take a historical approach and noting the newness of deepfakes, I first investigate a historical case study regarding a manipulated photo from a …

A Feminist Epistemological Framework: Preventing Knowledge Distortions In Scientific Inquiry, Karina Bucciarelli

Scripps Senior Theses

This thesis explores how scientific knowledge claims can become distorted due to socially constructed conceptions of gender. Further, it delves into the key components of an epistemological framework that will minimize these distortions.

To set up the analysis, I first explore how ‘traditional’ scientific explanations of human fertilization map stereotypes of the passive female and the active male onto the scientific participation of the egg and the sperm in human reproduction, thus rendering this knowledge claim problematic. We then turn to arguments presented by prominent feminist epistemologists. I argue that in order to produce knowledge claims free of distortions due …

Art's Truth: An Aid To Ethical Sensibility, Nova Quaoser

CMC Senior Theses

In this paper I explore the philosophical implications of decision theory and deliberation on ethics, paying special attention to how vicious individuals yearn for a separate philosophical account. Drawing largely on Fricker, McDowell, Paul, and Nussbaum I discuss how transformative experiences open a window for understanding moral development in terms of habituation in the Aristotelian sense, and further how the vicious individual’s failure to deliberate may be remedied via a transformation through art.

Mathematicians Versus Philosophers In Recent Work On Mathematical Beauty, Viktor Blåsjö

Journal of Humanistic Mathematics

Recent attempts at defining mathematical beauty fall roughly into two schools of thought. One takes its starting point in the subjective experience of the mathematician and characterises mathematical beauty in cognitive terms. The other seeks to reduce beauty to objective notions such as truth, symmetry, or simplicity. This second approach is popular among analytic philosophers, who are committed to seeing mathematics and science as prototypically rational enterprises. I criticise this stance on the grounds that this commitment makes its supporters approach beauty in mathematics not with a genuine desire to sympathetically understand it, but with the preconceived goal of explaining …

Explanatory Proofs And Beautiful Proofs, Marc Lange

Journal of Humanistic Mathematics

This paper concerns the relation between a proof’s beauty and its explanatory power – that is, its capacity to go beyond proving a given theorem to explaining why that theorem holds. Explanatory power and beauty are among the many virtues that mathematicians value and seek in various proofs, and it is important to come to a better understanding of the relations among these virtues. Mathematical practice has long recognized that certain proofs but not others have explanatory power, and this paper offers an account of what makes a proof explanatory. This account is motivated by a wide range of examples …

Ethical Considerations Facing The Regulation Of Self-Driving Cars In The United States, Richard Mancuso

CMC Senior Theses

Self-driving cars are here. Once an advanced technology that seemed futuristic, they are now closer than most believe. Many of the largest automobile manufacturers are working on autonomous vehicle technology of their own. Perhaps most well-known, though, are the cars being developed by Tesla and Google. Both companies have well-developed prototypes of fully autonomous vehicles, meaning they require no human input or supervision, and Tesla has promised widespread, consumer availability of this technology in the next one to two years.

Along with the availability of this technology to the public and transportation companies like Uber and Lyft, comes a need …

Cutting Out Worry: Popularizing Psychosurgery In America, Antonietta Louise Iannaccone

Scripps Senior Theses

We think of the lobotomy as utterly primitive and brutal; we shudder at the idea of it. The archetypal image of creepiness, violence, and unnecessary brutality was expressed in the book and movie One Flew Over the Cuckoo’s Nest. This procedure weighs heavy on America’s conscience but in 1945 the procedure was characterized as being as gentle as ‘cutting through butter’ and the therapeutic effect was described as ‘cutting out worry’. How did the lobotomy gain such widespread acceptance? One part of the answer is that Walter Freeman advocated for it not just among his colleagues, but through the popular …

The Stories Of Environmental Ethicists In Word And Image, Camille Robins

Scripps Senior Theses

The Stories of Environmental Ethicists in Word and Image captures the spirit of three local people: John B. Cobb, Jr., Rosemary Radford Ruether, and Dean Freudenberger. As teachers, writers, activists, and members of the progressive retirement community Pilgrim Place, they’ve had a significant influence on the global environmental movement. The photographs and small essays in this project highlight who they are and what they’ve done, and how they continue to shape contemporary intellectual discourse. An analysis of how portrait photographers use images to tell stories and how they incorporate text in their photographic collections to create fuller, more robust pictures …

Teaching The Complex Numbers: What History And Philosophy Of Mathematics Suggest, Emily R. Grosholz

Journal of Humanistic Mathematics

The narrative about the nineteenth century favored by many philosophers of mathematics strongly influenced by either logic or algebra, is that geometric intuition led real and complex analysis astray until Cauchy and Kronecker in one sense and Dedekind in another guided mathematicians out of the labyrinth through the arithmetization of analysis. Yet the use of geometry in most cases in nineteenth century mathematics was not misleading and was often key to important developments. Thus the geometrization of complex numbers was essential to their acceptance and to the development of complex analysis; geometry provided the canonical examples that led to the …

The Mathematical Cultures Network Project, Brendan P. Larvor

Journal of Humanistic Mathematics

The UK Arts and Humanities Research Council has agreed to fund a series of three meetings with associated publications on mathematical cultures. This note describes the project.

Parsimony And Quantum Mechanics: An Analysis Of The Copenhagen And Bohmian Interpretations, Jhenna Voorhis

Scripps Senior Theses

Parsimony, sometime referred to as simplicity, is an effective criterion of theory choice in the case of Quantum Mechanics. The Copenhagen and Bohmian interpretations are rival theories, with the Bohmian interpretation being more parsimonious. More parsimonious theories have a higher probability of being true than less parsimonious rivals. The Bohmian interpretation should thus be preferred on these grounds.

Book Review: Philosophy Of Science After Feminism By Janet Kourany, Gizem Karaali

Pomona Faculty Publications and Research

Janet Kourany’s book is a strange one: published by Oxford University Press (as a part of its Studies in Feminist Philosophy series), it is an academically oriented book, but reading it, you sense that this is not yet another theoretical monograph. For Kourany has her ax to grind, and more importantly she has a program to promote. The program is for philosophers of science and is motivated and encouraged by the amazing work done in the past few decades by feminist scientists and feminist scholars of science, technology, and society. In the following I will try to explain why I …

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 schema. Part …

Does The Mind Extend Out Into The World, Andrew D. Kishino

CMC Senior Theses

The extended mind debate juggles the possibilities of whether or not the mind extends out into the world. Today, with the rise in technology, we have an additional claim that our tools are responsible for extending our minds. The internet, smart phones, and other tools give us a foothold in the extended mind debate by providing real world examples of how our mind is perceived as extending out into the world. In discovering where the divide between mind and environment exists we can come up with a conclusion whether or not the mind truly extends out into the world.

The Humanistic Aspects Of Mathematics And Their Importance, Philip J. Davis

Humanistic Mathematics Network Journal

No abstract provided.