Logic and Foundations of Mathematics Commons^™

Logical Pluralism From A Pragmatic Perspective, Teresa Kouri Kissel

Philosophy Faculty Publications

This paper presents a new view of logical pluralism. This pluralism takes into account how the logical connectives shift, depending on the context in which they occur. Using the Question-Under-Discussion Framework as formulated by Craige Roberts, I identify the contextual factor that is responsible for this shift. I then provide an account of the meanings of the logical connectives which can accommodate this factor. Finally, I suggest that this new pluralism has a certain Carnapian flavour. Questions about the meanings of the connectives or the best logic outside of a specified context are not legitimate questions.

Platonismes, Marco Panza

MPP Published Research

Selon la vulgata philosophique, le platonisme concernant un certain domaine de recherche est la thèse affirmant que ce domaine concerne des objets qui lui sont propres, dont l’existence est indépendante de l’activité cognitive humaine. Souvent, dans la même vulgata on parle aussi de platonisme pour se référer à une thèse un peu différente, d’après laquelle ce qu’on dit concernant ce domaine est vrai ou faux indépendamment de toute justification ou réfutation que l’on puisse apporter. Naturellement, si parmi les énoncées ayant trait à ce demain, il y en a qu’on peut prendre comme particulièrement surs du fait d’en avoir une …

Three Essays In Intuitionistic Epistemology, Tudor Protopopescu

Dissertations, Theses, and Capstone Projects

We present three papers studying knowledge and its logic from an intuitionistic viewpoint.

An Arithmetic Interpretation of Intuitionistic Verification

Intuitionistic epistemic logic introduces an epistemic operator to intuitionistic logic which reflects the intended BHK semantics of intuitionism. The fundamental assumption concerning intuitionistic knowledge and belief is that it is the product of verification. The BHK interpretation of intuitionistic logic has a precise formulation in the Logic of Proofs and its arithmetical semantics. We show here that this interpretation can be extended to the notion of verification upon which intuitionistic knowledge is based. This provides the systems of intuitionistic epistemic logic …

Keats, Truth, And Empathy, Peter Shum

Sophia and Philosophia

At one level, Keats’s sonnet entitled On Peace (1814) is full of philosophical certainties. The speaker believes, for example, that a nation’s people have a right to live in freedom under the rule of law, and that the rule of law should be applicable to everybody. Political and philosophical commitments of this kind do not seem to be called into question in this poem, or made the subject of an enquiry. On the contrary, it is as though we are confronted with somebody who, in certain central thematic respects at least, appears to know his own mind.

The Rhetoric Of Tyranny: Callicles The Rhetor And Nietzsche's Zarathustra, Greg Whitlock

Sophia and Philosophia

Here I will work through the rhetoric of tyranny as practiced by Callicles and as reflected in Nietzsche’s Zarathustra, in particular. In Part 2 it will be shown that Nietzsche’s account of Plato as the complex figure with a Socratic exterior but a latent alternative ego of the tyrant, arrived at an image consistent with E.R. Dodds’ later thesis. Callicles the rhetor, featured as a student of Gorgias, embodies this alter-ego. In Part 3 we find Callicles and Zarathustra shared very similar beliefs once they overcame shame and gained honesty. Indeed, Callicles expounded a number of propositions foundational to …

The Problem Of Obviousness, Benjamin Goldberg

Sophia and Philosophia

1. The Problem of Obviousness
There’s no such thing as obviousness.

This isn’t, of course, itself obvious; nor is it clear why it should be a problem. So let me start elsewhere, with the anti-vaccine movement. A friend of mine laid out the ‘obvious’ position: there are facts and rationality on one side, unenlightened ignorance and bigotry on the other. Scientists versus fools, and the fools don’t even know what game is being played.

Poetic Justice: Apology Overdue, Stephen Faison

Sophia and Philosophia

Jurors of our republic, I do not know whether you were persuaded by the case made against me, but I certainly hope that you were not. Some of what the prosecutor told you is accurate, though much of it is untrue. To put it another way, some of his facts are correct, yet the conclusions he presented were usually misleading distortions and in some cases simply incorrect. If the indictment is clarified to its essentials, I am accused of corrupting the young and not believing in the gods in whom the city believes. I intend to show that these charges …

Cindy, Ken Clatterbaugh

Sophia and Philosophia

Cindy Norton sang loud in slightly accented Spanish. The song was “Perfidia” (“Wicked Woman”). She remembered the melody, and the Spanish language radio reminded her of the lyrics, although she could hardly hear the radio or herself above the grinding, popping, and rattling of her Volkswagen Rabbit. Her radio picked up only one station.

‘To Warm Our Hands’, Emmanuel O. Angulo

Sophia and Philosophia

Lovers often die shortly one after the other. Romeo and Juliet. June Carter and Johnny Cash. My grandfather and my grandmother. Leonard Cohen and Marianne Ihlen.

Marianne was the inspiration, most famously, of Cohen’s song “So long, Marianne”, but also of “Bird on the wire” and poems from the collection Flowers for Hitler. Cohen’s last words for her reached her just two days before her death—and a few months before his own. They said: ‘you know that I’ve always loved you for your beauty and your wisdom, but I don't need to say anything more about that because you know …

The Descent Of Winter: William Carlos Williams Under The Influence Of Paris, Phillip Barron

Sophia and Philosophia

The Descent of Winter, published in Ezra Pound’s magazine The Exile in 1928, is an uneven experiment in unclassifiable writing. Williams began writing the diaristic entries aboard the SS Pennland “in the fall of 1927. He was returning from Europe, where he had left Florence Williams with their two sons, who were to attend school in Geneva.” (Imaginations, 231) The slim book alternates between spare, image driven poems composed of short lines and diaristic prose. Most entries are titled only with the dates of their composition. In aesthetics, Williams always concerned himself with form. The variety of …

"Part Of That Force That Always Wills The Evil And Always Produces The Good" On A Devilish Incoherence, Peter Baumann

Sophia and Philosophia

When Mephisto was asked by Faust, "Well now, who are you then?" (“Nun gut, wer bist Du denn?”), he gave the well-known answer, "Part of that force that always wills the evil and always produces the good" (“Ein Teil von jener Kraft, die stets das Böse will und stets das Gute schafft”: Goethe, Faust, 1334-1336). This answer raises some important questions which in turn lead to interesting answers. Let us start by looking at the content of Mephisto's utterance.

Vol 7 No 2 Contents Page

Comparative Philosophy

No abstract provided.

Vol 7 No 2 Information Page

Comparative Philosophy

No abstract provided.

Vol 7 No 2 Cover Page

Comparative Philosophy

No abstract provided.

Clearing Up Calculus With Adaptive Learning Habits, Jennifer Patterson

Honors Theses

No abstract provided.

The C3 Conditional: A Variably Strict Ordinary-Language Conditional, Monique L. Whitaker

Dissertations, Theses, and Capstone Projects

In this dissertation I provide a novel logic of the ordinary-language conditional. First, however, I endeavor to make clearer and more precise just what the objects of the study of the conditional are, as a lack of clarity as to what counts as an instance of a given category of conditional has resulted in deep and significant confusions in subsequent analysis. I motivate for a factual/counterfactual distinction, though not at the level of particular instances of the conditional. Instead, I argue that each individual instance of the conditional may be interpreted either factually or counterfactually, rather than these instances dividing …

The Logic Of Concessive Statements, Aharon Grenadir

School for Lifelong Education Publications

Concessive statements appear frequently in everyday reasoning. They are one of the eleven types of statement mentioned in the Ramchal‟s Sefer Derech Tevunos. In addition, in Talmudic discussions, every statement has a presupposition (hava-amina) and a conclusion (ka mashma lan). This goal of this research is to organize the categorizations of concessive statements that are stated in the technical literature. Using the distintinction in lomdus between dechiyah (overriding a law) and hutrah (removal of a law), a novel categorization can be added, according to the type of denial of the expectation by the main clause. That is the subject of …

Gronwall’S Inequality And Systems Of Integral Equations, Bradford Garcia

Honors Theses

No abstract provided.

Avatars Of Oneself, Patrick L. Miller

Sophia and Philosophia

Zoe is an American woman who has found that “drawing the line and standing firm has always made me feel like a bitch, and, actually, I feel that people saw me as one too.”[3] For two years, however, she played an online role-playing game using a male character where “as a man I was liberated from all that.” She made mistakes in her unfamiliar role, but learned from them. “I got better at being firm but not rigid,” she says; “I practiced, safe from criticism.” Case is an American man, who plays a similar game but always appears as a …

On The Relationship Of Alcibiades’ Speech To The Rest Of The Speeches In Plato’S Symposium[1], Andy Davis

Sophia and Philosophia

To get to the point immediately concerning how I think about the relationship between the first five speeches and Socrates’ speech: it seems to me the claim that Plato has only brought together inadequate perspectives on Eros in order to present Socrates’ speech over and against them as the only correct one is completely in error. Socrates himself does not deny these speeches their accolades, he comes back to many things in them as he assigns each single perspective its own due place. Much more, I believe that from the first speech to the last a decisive progress takes place, …