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Articles 1 - 11 of 11
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Tarski And Bachmann In Regina: A Magical Connection, James T. Smith
Tarski And Bachmann In Regina: A Magical Connection, James T. Smith
Journal of Humanistic Mathematics
This is a personal account of an intersection of the schools of research in foundations of geometry founded by Alfred Tarski and Friedrich Bachmann. Their academic lineages and the origins of the schools are also described, as well as the mathematics that resulted from this intersection.
Locked In Functions: A Short Poem For Robert Langlands, Virgilio A. Rivas
Locked In Functions: A Short Poem For Robert Langlands, Virgilio A. Rivas
Journal of Humanistic Mathematics
This short poem is inspired by Robert Langlands, recipient of the 2018 Abel Prize. The poem tries to sum up in poetic language, as brief but substantial as it can be, the philosophical and rhetorical connotation of his contributions to mathematics, from automorphic forms to number theory, and the famous Langlands programme, among others. Also partly inspired by Edward Frenkel's tribute to Langlands, the book Love and Mathematics, the poem seeks to capture the philosophical beauty of mathematics that privileges the importance of 'functions' over 'passions', consistent with Langlands' purely mathematical side.
From A Doodle To A Theorem: A Case Study In Mathematical Discovery, Juan FernáNdez GonzáLez, Dirk Schlimm
From A Doodle To A Theorem: A Case Study In Mathematical Discovery, Juan FernáNdez GonzáLez, Dirk Schlimm
Journal of Humanistic Mathematics
We present some aspects of the genesis of a geometric construction, which can be carried out with compass and straightedge, from the original idea to the published version (Fernández González 2016). The Midpoint Path Construction makes it possible to multiply the length of a line segment by a rational number between 0 and 1 by constructing only midpoints and a straight line. In the form of an interview, we explore the context and narrative behind the discovery, with first-hand insights by its author. Finally, we discuss some general aspects of this case study in the context of philosophy of mathematical …
Interpersonal Emotions As Emergent Phenomena: Social Neuroscience Beyond Western Cultural Constructions, Kaitlyn Penchina
Interpersonal Emotions As Emergent Phenomena: Social Neuroscience Beyond Western Cultural Constructions, Kaitlyn Penchina
Scripps Senior Theses
Because science as it exists today is a cultural construction of the West, studies of neuroscience have often been limited by Western perspectives. In particular, the Western proclivity towards individualism has led to a field of neuroscience which has historically focused on studying single individuals, as opposed to social or collective neuroscience. For the most part, it has just been assumed that collective phenomena such as interpersonal emotions must be able to be reduced in terms of individual phenomena such as individual emotions. However, closer review reveals that interpersonal emotions have emergent properties that individual emotions alone do not account …
From Building To Dwelling: Unfolding Infinity Through Bioregional Fulfillment, Sanjana Bhatnagar
From Building To Dwelling: Unfolding Infinity Through Bioregional Fulfillment, Sanjana Bhatnagar
Pitzer Senior Theses
The causes of anthropogenic climate change touch every feature of our modern-day existences. Approaches to sustainability tend to focus on material actions, but unsustainable practices are guided by an ontological orientation of individuality and human exceptionalism. This thesis provides an alternate account of being that decenters individuality through weaving the metaphysics of Fazang of the Huayan School of Mahayana Buddhism with the metaphysics of Martin Heidegger. To encompass the whole of the relational network that constitutes and conditionally defines our existence, I expand Heidegger’s account of locales as relational sites which are put forth solely by humans to an account …
The Gay Science: Power On The Body, Population, And Psyche, Nicola Augustyn
The Gay Science: Power On The Body, Population, And Psyche, Nicola Augustyn
CMC Senior Theses
Michel Foucault is a philosopher of power who left behind a legacy of ideas that continue to inspire scholars today. His conceptualization of power is not limited to the figures of kings, monarchs, or the sovereign state. Rather, he regards power as a productive force that shapes subjectivity, manufactures knowledge, and engenders the truth in a particular historical context. In this thesis, I aim to provide a comprehensive account of Foucault’s analysis of power, starting with his refutation of the “repressive hypothesis” that challenges the predominant view of centralized top-down power. Then, I present Foucault’s proposal for redefining power as …
Acquiring Knowledge Of Ultimate Reality Through Psychedelic Experience, Lia Harel
Acquiring Knowledge Of Ultimate Reality Through Psychedelic Experience, Lia Harel
CMC Senior Theses
Psychedelics have the power to induce in us an altered state of consciousness—a psychological experience radically different from our normal waking state of consciousness. Notable differences include changes in one’s perception of time, their sense of self, and the meaning and significance they attribute to things in their life. Across a broad range of testimonies, many people have reported characteristics of their psychedelic experience that bear a close resemblance to metaphysical accounts of ultimate reality from various cultures and time periods. In this paper, I explore the question of whether one can acquire knowledge of ultimate reality through psychedelic experience. …
The Controversies Of (Immersion) Piss Christ And The Perfect Moment: An Argument For State Funding Of The Arts As An Extension Of Free Speech Protections, Olivia Fish
CMC Senior Theses
In 1989, artists Robert Mapplethorpe and Andres Serrano received grants from the National Endowment for the Arts (NEA). A short few months after the two artists became grant recipients, the funding for each of them was pulled as a result of escalating controversy and anger over the art created by both artists being funded by a federal organization. Those angered by the art and their respective grants tied the messaging of the art to the beliefs and values of the state—Serrano’s photograph being tied to a commentary on the overcommercialization of religion and Mapplethorpe’s exhibition being unabashedly queer and, at …
Simulacra And Simulation Hypothesis: How Real Is Our Reality?, Annika Larson
Simulacra And Simulation Hypothesis: How Real Is Our Reality?, Annika Larson
CMC Senior Theses
Metaphysical quandaries have plagued humans for centuries, beginning with Plato, who in his Allegory of the Cave, illustrated a world where people misinterpreted shadows on the wall as reality. This paper examines the notion that our reality is a simulation, either created by us or by external forces. The ontological theories presented in this paper are mainly derived from the work of media theorist Jean Baudrillard and his concept of hyperreality as well as Nick Bostrom’s argument for the simulation hypothesis. I also analyze Slavoj Zizek’s comments on media depictions of simulations in mainstream movies like The Matrix and The …
Shaping Knowledge With Distortions: Museums As Oppressive Spaces And Hermeneutical Injustice, Fangzhangyi Chen
Shaping Knowledge With Distortions: Museums As Oppressive Spaces And Hermeneutical Injustice, Fangzhangyi Chen
CMC Senior Theses
Museums are places where people come to make sense of their and others’ social experiences related to social identities. However, what if museums present a distorted picture containing prejudicial stereotypes that harm socially marginalized groups? In this thesis, I argue that museums are oppressive spaces that reinforce hermeneutical injustice as distorted hermeneutical resources shaped by the socially powerful to sustain the asymmetrical social dynamics at large. The primary objective of the thesis is to contribute to the existing literature of museums being oppressive spaces by offering a novel explanation utilizing Miranda Fricker’s framework of hermeneutical injustice. Hermeneutical injustice arises when …
Dementia And The Fragility Of Self: Navigating Ethical Considerations In Medical Decision-Making, Grace Sauers
Dementia And The Fragility Of Self: Navigating Ethical Considerations In Medical Decision-Making, Grace Sauers
Scripps Senior Theses
As the global population ages, the incidence of degenerative memory disorders such as Alzheimer's and dementia is expected to rise. The frequency of complex medical decision-making challenges for these patients will subsequently increase. It is now common practice for patients to provide advance directives outlining the care they wish to receive; in the case they are deemed incompetent to perform adequate decision making. However, patients with dementia occasionally express wishes contrary to those stated in their advance directives. This divergence creates ambiguity about which wishes should be honored and for who those wishes are being honored for. I aim to …