Aesthetics 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 …

What It Takes To "Become" Another: An Account Of Immersive Character Imagining, Ariana G. Didomenico

Scripps Senior Theses

Often, when one engages with fiction, one imaginatively portrays the mental states of the characters within said fiction. Typically, when one does this, one relates to the character as separate from oneself, and is consciously aware that what they are imagining is fictional. However, this is not always the case: when one engages in what I will call ‘immersive c-imagining’, one feels roughly as though a character’s thoughts and feelings are one’s own. Furthermore, there is a special subtype of immersive c-imagining, ‘inferential immersive c-imagining’, which occurs when one immersively c-imagines while, at the same time, efficiently and accurately inferring …

A Dualistic Interpretation Of Mathematical Creation Through Art And Argumentation, Sofia Almpani, Petros Stefaneas, Mihir Chakraborty

Journal of Humanistic Mathematics

Creativity, informal reasoning and dynamic exchange of ideas form the pulsating heart of mathematical creation. In this approach, the concept of a mathematical object surpasses conventional boundaries of formal presentation, as they also encompass the intention to prove, significant creative stages within the proving, and the overall experience of prover's journey, which may involve arguments, debates, discovery insights, aesthetic visualizations, and narrative elements. In this paper we present two conceptual frameworks, namely Argumentation-based Proof-Events Calculus (APEC) and Mathematical RUPAs, in order to provide distinct yet interconnected perspectives on informal thinking, knowledge creation, and proving in mathematics. Following the two perspectives, …

Art As Asset: The Rise Of The Financialized Art Market And The Abstraction Of Value, Kenneth Knothe

Pitzer Senior Theses

This thesis investigates the financialization of art through the expanding use of art-backed loans and institutional involvement. It focuses on how artworks—once primarily valued for their aesthetic or cultural significance—are now routinely treated as financial assets within the art market. The paper uses case studies from Sotheby’s Financial Services and Mitchell F. Chan’s blockchain-based reinterpretation of Yves Klein’s Zones of Immaterial Pictorial Sensibility. Drawing on the work of Walter Benjamin, Pierre Bourdieu, and Wendy Brown, it argues that this shift undermines museums’ roles as cultural stewards and redefines the meaning of value in the art world to something more quantifiable. …

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 …

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 …

Wabi-Sabi Mathematics, Jean-Francois Maheux

Journal of Humanistic Mathematics

Mathematics and aesthetics have a long history in common. In this relation however, the aesthetic dimension of mathematics largely refers to concepts such as purity, absoluteness, symmetry, and so on. In stark contrast to such a nexus of ideas, the Japanese aesthetic of wabi-sabi values imperfections, temporality, incompleteness, earthly crudeness, and even contradiction. In this paper, I discuss the possibilities of “wabi-sabi mathematics” by showing (1) how wabi-sabi mathematics is conceivable; (2) how wabi-sabi mathematics is observable; and (3) why we should bother about wabi-sabi mathematics

A Beautiful Proof By Induction, Lars-Daniel Öhman

Journal of Humanistic Mathematics

The purpose of this note is to present an example of a proof by induction that in the opinion of the present author has great aesthetic value. The proof in question is Thomassen's proof that planar graphs are 5-choosable. I give a self-contained presentation of this result and its proof, and a personal account of why I think this proof is beautiful.

A secondary purpose is to more widely publicize this gem, and hopefully make it part of a standard set of examples for examining characteristics of proofs by induction.

Mathematical Proofs: The Beautiful And The Explanatory, Marcus Giaquinto

Journal of Humanistic Mathematics

Mathematicians sometimes judge a mathematical proof to be beautiful and in doing so seem to be making a judgement of the same kind as aesthetic judgements of works of visual art, music or literature. Mathematical proofs are also appraised for explanatoriness: some proofs merely establish their conclusions as true, while others also show why their conclusions are true. This paper will focus on the prima facie plausible assumption that, for mathematical proofs, beauty and explanatoriness tend to go together.

To make headway we need to have some grip on what it is for a proof to be beautiful, and for …

Fictional Emotions: Genuineness Of Emotions In Fictions, Lorien Giles

CMC Senior Theses

The common position in philosophy calls into question the ability of our emotions that derive from fictions to be genuine. In this paper I analyze this view, its motivating examples, and some unconsidered positions. In doing this I hope to offer a good defense of why our emotions that derive from fictions are in fact genuine and why the Paradox of Fiction is too broad.

Mathematics Found In Poetry, Alexis Mann

Humanistic Mathematics Network Journal

No abstract provided.

The Poetics Of E=Mc2, Richard A. Schwartz

Humanistic Mathematics Network Journal

No abstract provided.

Illumination And Geometry In Islamic Art, Salma Marani

Humanistic Mathematics Network Journal

No abstract provided.

On Mathematics In Poetry, John S. Lew

Humanistic Mathematics Network Journal

No abstract provided.

Symmetry: A Link Between Mathematics And Life, Catherine A. Gorini

Humanistic Mathematics Network Journal

No abstract provided.

Tilings In Art And Science, James E, Hall

Humanistic Mathematics Network Journal

No abstract provided.

Mathematics As An Aesthetic Discipline, J. D. Phillips

Humanistic Mathematics Network Journal

No abstract provided.

Like Poetry, Mathematics Is Beautiful, Joanne Growney

Humanistic Mathematics Network Journal

No abstract provided.