Logic and Foundations of Mathematics Commons^™

Japanese-English Translation: Miki Kiyoshi —Thinking With Master Nishida (First Published In Fujin Kōron, August 1941) Complete Draft; Translated, Edited, And Revised By Christopher Southward, October 2022-September 2023 「西田先生のことども」、三木清著（初発 婦人公論、昭和十六年八月）, Christopher Southward

Comparative Literature Faculty Scholarship

Japanese-English Translation: Miki Kiyoshi —Thinking with Master Nishida (First Published in Fujin Kōron, August 1941) Complete Draft; Translated, Edited, and Revised by Christopher Southward, October 2022-September 2023「西田先生のことども」、三木清著（初発 婦人公論、昭和十六年八月）

Source text transcribed and published by Aozora Bunko–a compendium of public-domain Japanese literature, philosophy, and criticism

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Current text: https://www.aozora.gr.jp/cards/000218/files/50538_37481.html

Zero, Śūnya And Pūrṇa: A Comparative Analysis, Animisha Tewari

Comparative Philosophy

Due to apparent duality in this world, one has to face a lot of difficulties while searching for the Truth. Our ego is the root cause for perception of duality and this in turn leads to suffering. This suffering can only be extinguished by attainment of the Truth, i.e, non-duality. However, in order to enable the finite intellect to comprehend the incomprehensible non-duality, this undifferentiated whole is sometimes denoted by nothingness (śūnya) or fullness (pūrṇa). Non-duality is usually understood by the numeral ‘1’ which stands for unity or oneness. The main aim of this paper is …

Necessity, Essence And Analyticity: Toward An Analytic Essentialist Account Of Necessity, Dongwoo Kim

Dissertations, Theses, and Capstone Projects

Some truths could not have failed to hold. Such are called metaphysically necessary truths. As Michael Dummett once aptly formulated, the philosophical problem about necessity is twofold: what makes necessary truths necessarily true and how do we recognize them as such? This dissertation aims to address these questions by developing and defending a novel account of necessity, which has the following three main theses: (1) the necessity of a statement about an entity is established as a consequence of a general principle implying that if the entity is a certain way then it is necessarily that way and the fact …

Recognizing Mathematics Students As Creative: Mathematical Creativity As Community-Based And Possibility-Expanding, Meghan Riling

Journal of Humanistic Mathematics

Although much creativity research has suggested that creativity is influenced by cultural and social factors, these have been minimally explored in the context of mathematics and mathematics learning. This problematically limits who is seen as mathematically creative and who can enter the discipline of mathematics. This paper proposes a framework of creativity that is based in what it means to know or do mathematics and accepts that creativity is something that can be nurtured in all students. Prominent mathematical epistemologies held since the beginning of the twentieth century in the Western mathematics tradition have different implications for promoting creativity in …

Real Possibility: Modality And Responsibility, Julia Gaul

Honors Scholar Theses

Imagine: someone is backing out of a parking space and does not look in their rear view mirror. They subsequently hit a car that was passing by. One could argue that they simply could have avoided the accident had they looked in their mirror. This non-actual possibility, that they could have looked in the mirror, seems legally and morally relevant. One could also argue that they could have avoided the accident had they stuck their feet out of their window and sung La Marseillaise.

My leading questions is: how do we distinguish possibilities that are legally and morally relevant from …

Logical Pluralism And Vicious Regresses, Daniel Boyd

Dissertations, Theses, and Capstone Projects

This material in this dissertation will be divided into two parts. The first part is a preliminary discussion of vicious regress arguments in the philosophy of logic in the 20th century. The second part will focus on three different versions of logical pluralism, i.e., the view that there are many correct logics. In each case an argument will be developed to show that these versions of logical pluralism result in a vicious regress.

The material in part one will be divided into three chapters, and there are a few reasons for having a preliminary discussion of vicious regress arguments in …

Fatal Attractions, Elective Affinities, And Deadly Epistemologies, Ibpp Editor

International Bulletin of Political Psychology

This article cites film, the novel, and news report to underline the deadly seriousness of the quest for knowledge.

Counterfactual Conditional Analysis Using The Centipede Game, Ahmed Bilal

CMC Senior Theses

The Backward Induction strategy for the Centipede Game leads us to a counterfactual reasoning paradox, The Centipede Game paradox. The counterfactual reasoning proving the backward induction strategy for the game appears to rely on the players in the game not choosing that very same backward induction strategy. The paradox is a general paradox that applies to backward induction reasoning in sequential, perfect information games. Therefore, the paradox is not only problematic for the Centipede Game, but it also affects counterfactual reasoning solutions in games similar to the Centipede Game. The Centipede Game is a prime illustration of this paradox in …

Radical Social Ecology As Deep Pragmatism: A Call To The Abolition Of Systemic Dissonance And The Minimization Of Entropic Chaos, Arielle Brender

Student Theses 2015-Present

This paper aims to shed light on the dissonance caused by the superimposition of Dominant Human Systems on Natural Systems. I highlight the synthetic nature of Dominant Human Systems as egoic and linguistic phenomenon manufactured by a mere portion of the human population, which renders them inherently oppressive unto peoples and landscapes whose wisdom were barred from the design process. In pursuing a radical pragmatic approach to mending the simultaneous oppression and destruction of the human being and the earth, I highlight the necessity of minimizing entropic chaos caused by excess energy expenditure, an essential feature of systems that aim …

Non-Naturalism And Naturalism In Mathematics, Morality, And Epistemology, Nicholas Distefano

Honors Projects

No abstract provided.

Vol 8 No 2 Editor's Words, Bo Mou

Comparative Philosophy

No abstract provided.

Vol 8 No 2 Contents Page

Comparative Philosophy

No abstract provided.

Vol 8 No 2 Information Page

Comparative Philosophy

No abstract provided.

Vol 8 No 2 Cover Page

Comparative Philosophy

No abstract provided.

Revolution In Ideology: Crafting A Holistic Scientific Dialectic, Nathan Neill

Dialogue & Nexus

Ideology drives scientific research far more than is acknowledged. Since science itself is conducted by individuals, each scientist has a biased conception of themselves and their surroundings relative to the rest of the universe, even if it is never explicated. This sense of relation to the greater universe is what defines the ideology of the individual. It is this sense of relation and self that creates the individual, who goes on to investigate the natural world by the scientific method. In this paper I will examine extant scientific ideology, particularly in Western science, and propose changes that could be helpful.

Editor's Words, Bo Mou

Comparative Philosophy

No abstract provided.

Vol 8 No 1 Contents Page

Comparative Philosophy

No abstract provided.

Vol 8 No 1 Information Page

Comparative Philosophy

No abstract provided.

Vol 8 No 1 Cover Page

Comparative Philosophy

No abstract provided.

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 …

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.

Compassion, Authority And Baby Talk: Prosody And Objectivity, Leo Groarke, Gabrijela Kišiček

OSSA Conference Archive

Recent work on multimodal argumentation has explored facets of argumentation which have no obvious analogue in the written arguments which were emphasized in traditional accounts of argument. One of these facets is prosody: the structure and quality of the sound of spoken language. Prosodic features include pitch, temporal structure, pronunciation, loudness and voice quality, rhythm, emphasis and accent. In this paper, we explore the ways that prosodic features may be invoked in arguing.

Toward A Kripkean Concept Of Number, Oliver R. Marshall

Dissertations, Theses, and Capstone Projects

Saul Kripke once remarked to me that natural numbers cannot be posits inferred from their indispensability to science, since we’ve always had them. This left me wondering whether numbers are objects of Russellian acquaintance, or accessible by analysis, being implied by known general principles about how to reason correctly, or both. To answer this question, I discuss some recent (and not so recent) work on our concepts of number and of particular numbers, by leading psychologists and philosophers. Special attention is paid to Kripke’s theory that numbers possess structural features of the numerical systems that stand for them, and to …

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

Vol 7 No 1 Contents Page

Comparative Philosophy

No abstract provided.

Vol 7 No 1 Information Page

Comparative Philosophy

No abstract provided.

Vol 7 No 1 Cover Page

Comparative Philosophy

No abstract provided.

How Does “Collaboration” Occur At All? Remarks On Epistemological Issues Related To Understanding / Working With ‘The Other’, Don Faust, Judith Puncochar

Conference Presentations

Collaboration, if to occur successfully at all, needs to be based on careful representation and communication of each stakeholder’s knowledge. In this paper, we investigate, from a foundational logical and epistemological point of view, how such representation and communication can be accomplished. What we tentatively conclude, based on a careful delineation of the logical technicalities necessarily involved in such representation and communication, is that a complete representation is not possible. This inference, if correct, is of course rather discouraging with regard to what we can hope to achieve in the knowledge representations that we bring to our collaborations. We suggest …