Philosophy Commons^™

Adversus Mathematicos, Christopher Norris

Journal of Humanistic Mathematics

A poem about relationship between mathematics and the human experience of time.

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 …

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 …

Ahss Dean Authors Books On Environment, Homelessness, Sarah Gardner, Dave Albee

Press Releases

Laura Stivers, Dean of the School of Arts, Humanities and Social Sciences at Dominican, is presenting talks about her recent publications regarding environmental issues and homelessness.

Natural Law And Agonistic Pluralism, Daniel E. Young

Northwestern Review

John Rawls’ account of political liberalism posits the necessity of a metaphysically neutral “public reason” to avoid privileging any comprehensive doctrine in the public square. The natural law tradition has been claimed by some as meeting this standard. However, thinkers such as Tracey Rowland criticize the attempt to make natural law a secular, neutral ground; she believes it must be rooted in an overtly Trinitarian and Christological theology. However, such theological assumptions are not shared by those of other comprehensive doctrines. Chantal Mouffe has also challenged Rawls’ consensus conception, focusing rather on the inevitable ideological conflicts to be found in …

Christian Faith And The Scientific Explanation Of Religion, Donald H. Wacome

Northwestern Review

The cognitive theory of religion seems to threaten to debunk religion, including Christianity, as irrational. The cognitive theory explains human religiosity as an accident, a mere byproduct, of the interaction of mental mechanisms evolved for other purposes. The threat to religion can be neutralized by finding good reasons for religious beliefs which can be identified independent of the operation of the cognitive mechanisms the theory posits. Christian faith should be understood not as sub-rational belief, but as trust in the God who resurrected Jesus Christ. Our natural religiosity, like our natural morality, has no necessary connection to God, but God …

The Urban Prison: Socioeconomic Vortexes In Latino Neighborhoods, Armando Porras, Aaron Wyatt

Research on Capitol Hill

This research shows how metropolitan cities throughout the United States are continuously impacting the lives of ethnic minorities.

In the United States, Latina/o individuals have been born into socioeconomic vortexes. In other words, they have grown up in areas where secure jobs have disappeared and a variety of other factors force them to live in damaged communities that do not foster economic and social progression.

By analyzing several works of literature written by Latina/o authors who lived in barrios that faced these challenges, as well as research addressing crime and the lack of law enforcement in marginalized neighborhoods, we have …

Abstraction And Epistemic Economy, Marco Panza

MPP Published Research

Most of the arguments usually appealed to in order to support the view that some abstraction principles are analytic depend on ascribing to them some sort of existential parsimony or ontological neutrality, whereas the opposite arguments, aiming to deny this view, contend this ascription. As a result, other virtues that these principles might have are often overlooked. Among them, there is an epistemic virtue which I take these principles to have, when regarded in the appropriate settings, and which I suggest to call ‘epistemic economy’. My purpose is to isolate and clarify this notion by appealing to some examples concerning …

Review Of Slaves Of Our Affection: The Myth Of The Happy Pet, Katherine Allen

Between the Species

This article reviews Charles Danten’s Slaves of Our Affection: the Myth of the Happy Pet, outlining and evaluating Danten’s arguments for the abolition of the pet trade. The review delineates Danten’s main points; that the commodification of companion animals is antithetical to their welfare, that veterinarians, pet food manufacturers and breeders serve the dictates of the economic bottom line rather than the interests of animals, and that the majority of pet owners, while well-intentioned, are ill-equipped to meet the physiological and psychological needs of their animal companions.

The reviewer asserts that Danten’s arguments are generally successful, but suggests that …

The Republic Of Ignorance, Daniel R. Denicola

Philosophy Faculty Publications

“When did ignorance become a point of view?” the cartoon character Dilbert once asked. It’s a question that has become increasingly resonant these days—especially in our public life, and especially in our political campaigns in which elected officials and those who seek election seem to assume a startling level of public ignorance. Perhaps that’s smart. [excerpt]

Using Heider’S Epistemology Of Thing And Medium For Unpacking The Conception Of Documents: Gantt Charts And Boundary Objects, Sebastian K. Boell, Florian Hoof

Proceedings from the Document Academy

Documents play a central role for many organizational processes. Current conceptualizations of documents predominantly engage with documents in two different ways. One sees documents as things with specific properties, and a second sees documents as medium enabling communication across different groups of actors. What is currently not well understood is how documents are perceived either as thing or as medium. This chapter engages with this issue by drawing from Fritz Heider’s epistemology of thing and medium, a concept stemming from social and media theory. According to Heider things are uniform and medium are multiform. Applying this concept to documents we …

How Much A Quarter Cost: Allegory Of A Coin And Other Stories, Grant C. Gallo

The Downtown Review: An Interdisciplinary Journal Written and Peer-Reviewed by Mandel Honors College Students at Cleveland State University

The philosophical theories of Baruch Spinoza and George Berkley were described, compared, and contrasted. Various examples and metaphors were used to help fully illustrate their respective metaphysical, epistemological, and ethical positions. The relevance of their theories to current philosophical discourse was discussed; showing that even in today’s technologically advanced society, seemingly antiquated ideas may still provide useful knowledge. In the end, Spinoza and Berkley’s apparently conflicting paradigms are rectified through a multiplexual, relativistic lens.

Ancient Animal Ethics: The Earliest Arguments For The Ethical Consideration Of Nonhuman Animals, Joshua J. Sias

The Downtown Review: An Interdisciplinary Journal Written and Peer-Reviewed by Mandel Honors College Students at Cleveland State University

Primarily focused on the ancient Greek philosophers, this work offers a survey of the earliest arguments for and against the inclusion of nonhuman animals in human realms of ethical consideration. By following the trends of ancient western thought concerning animal ethics, the influencing factors behind the downfall of the subject in Medieval times, both in terms of discourse and practice, is discovered in the philosophical exchange that preceded medieval thought.

Feminist Futures And Campus Changes: Dismantling Ursinus College's Greek Life, Jordan Ostrum

Richard T. Schellhase Essay Prize in Ethics

No abstract provided.

Hobbes On Natural Philosophy As “True Physics” And Mixed Mathematics, Marcus P. Adams

Philosophy Faculty Scholarship

In this paper, I offer an alternative account of the relationship of Hobbesian geometry to natural philosophy by arguing that mixed mathematics provided Hobbes with a model for thinking about it. In mixed mathematics, one may borrow causal principles from one science and use them in another science without there being a deductive relationship between those two sciences. Natural philosophy for Hobbes is mixed because an explanation may combine observations from experience (the ‘that’) with causal principles from geometry (the ‘why’). My argument shows that Hobbesian natural philosophy relies upon suppositions that bodies plausibly behave according to these borrowed causal …

[Review Of The Book Disagreement By Brian Frances], James Pearson

Philosophy Faculty Publications

Review of the book Disagreement by Bryan Frances. Cambridge: Polity Press, 2014.

Anscombe, Thomson, And Double Effect, Thomas A. Cavanaugh

Philosophy

In “Modern Moral Philosophy” Anscombe argues that the distinction between intention of an end or means and foresight of a consequentially comparable outcome proves crucial in act-evaluation. The deontologist J. J. Thomson disagrees. She asserts that Anscombe mistakes the distinction’s moral import; it bears on agent-evaluation, not act-evaluation. I map out the contours of this dispute. I show that it implicates other disagreements, some to be expected and others not to be expected. Amongst the expected, one finds the ethicists’ accounts of action and understanding of how agent-assessment relates to act-assessment. Amongst the unexpected, one finds the moralists’ views about …

Dignity, Pet-Euthanasia And Person Euthanasia, Thomas A. Cavanaugh

Philosophy

Challenging the standard argument for euthanasia, G. E. M. Anscombe holds that euthanasia does not comport with human dignity interpreted in terms of self-determination. For, were self-determination to ground any killing it would justify self-killing, not being killed by another. I articulate reasons for thinking that she correctly identifies the dissonance of self-determination with euthanasia. Additionally, I argue that the same holds, less obviously, for physician-assisted suicide (PAS, which she does not explicitly consider).

Moreover, Anscombe suggests that what actually occurs in euthanasia in effect equates a person to a humanely euthanized dog and, thereby, trivializes and degrades human lives …