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Articles 1 - 30 of 61
Full-Text Articles in Logic and Foundations of Mathematics
Moretheless, Abdelghani Alnahawi
Moretheless, Abdelghani Alnahawi
Masters Theses
material investigations becoming questions with interjections
Ineffability, Emptiness And The Aesthetics Of Logic, Andreas Kapsner
Ineffability, Emptiness And The Aesthetics Of Logic, Andreas Kapsner
Comparative Philosophy
In this essay, I explore the nature of the logical analysis of Buddhist thought that Graham Priest has offered in his book The Fifth Corner of Four (5of4). The paper traces the development of a logical value in- troduced in 5of4, which Priest has called e. The paper points out that certain criticisms I have made earlier still stand, but focuses on a recon- ceptualization of 5of4 in which these arguments carry less weight. This new perspective on the book, inspired by a response to my arguments by Priest himself, sees the logical analysis of Buddhism …
Necessity, Essence And Analyticity: Toward An Analytic Essentialist Account Of Necessity, Dongwoo Kim
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 …
Don’T Be So Fast With The Knife: A Reply To Kapsner, Graham Priest
Don’T Be So Fast With The Knife: A Reply To Kapsner, Graham Priest
Comparative Philosophy
The is a brief reply to the central objection against the construction of my The Fifth Corner of Four by Andi Kapsner in his “Cutting Corners: A Critical Note on Priest’s Five-Valued Catuṣkoṭi. This concerns the desirability of adding a fifth corner (ineffability) to the four of the catuṣkoṭi.
A Russellian Analysis Of Buddhist Catuskoti, Nicholaos Jones
A Russellian Analysis Of Buddhist Catuskoti, Nicholaos Jones
Comparative Philosophy
Names name, but there are no individuals who are named by names. This is the key to an elegant and ideologically parsimonious strategy for analyzing the Buddhist catuṣkoṭi. The strategy is ideologically parsimonious, because it appeals to no analytic resources beyond those of standard predicate logic. The strategy is elegant, because it is, in effect, an application of Bertrand Russell's theory of definite descriptions to Buddhist contexts. The strategy imposes some minor adjustments upon Russell's theory. Attention to familiar catuṣkoṭi from Vacchagotta and Nagarjuna as well as more obscure catuṣkoṭi from Khema, Zhi Yi, and Fa Zang motivates the …
Logical Pluralism And Vicious Regresses, Daniel Boyd
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 …
Are Logic And Math Relevant To Social Debates?, Michael A. Lewis
Are Logic And Math Relevant To Social Debates?, Michael A. Lewis
Journal of Humanistic Mathematics
Social debates, as well as discussions about certain highly charged issues, such as racism, gender identity, and sexuality, usually turn on the uses or mentions of key words. That is, the conclusions we can draw from such discussions depend on how certain terms are used or mentioned in them. Yet participants in social debates may often fail to precisely define their terms or fail to make important distinctions in terms uttered by others. Both logic and mathematics pay attention to the importance of precise definitions when it comes to engaging in discussions, arguments, or proofs. Logic also makes an important …
Rules, Tricks And Emancipation, Jessie Allen
Rules, Tricks And Emancipation, Jessie Allen
Book Chapters
Rules and tricks are generally seen as different things. Rules produce order and control; tricks produce chaos. Rules help us predict how things will work out. Tricks are deceptive and transgressive, built to surprise us and confound our expectations in ways that can be entertaining or devastating. But rules can be tricky. General prohibitions and prescriptions generate surprising results in particular contexts. In some situations, a rule produces results that seem far from what the rule makers expected and antagonistic to the interests the rule is understood to promote. This contradictory aspect of rules is usually framed as a downside …
A Groundwork For A Logic Of Objects, David Winters
A Groundwork For A Logic Of Objects, David Winters
Electronic Thesis and Dissertation Repository
The history of philosophy is rich with theories about objects; theories of object kinds, their nature, the status of their existence, etc. In recent years philosophical logicians have attempted to formalize some of these theories, yielding many fruitful results. My thesis intends to add to this tradition in philosophical logic by developing a second-order logical system that may serve as a groundwork for a multitude of theories of objects (e.g. concrete and abstract objects, impossible objects, fictional objects, and others). Through the addition of what we may call sortal quantifiers (i.e. quantifiers that bind individual variables ranging over objects of …
Recapture, Transparency, Negation And A Logic For The Catuṣkoṭi, Adrian Kreutz
Recapture, Transparency, Negation And A Logic For The Catuṣkoṭi, Adrian Kreutz
Comparative Philosophy
The recent literature on Nāgārjuna’s catuṣkoṭi centres around Jay Garfield’s (2009) and Graham Priest’s (2010) interpretation. It is an open discussion to what extent their interpretation is an adequate model of the logic for the catuskoti, and the Mūla-madhyamaka-kārikā. Priest and Garfield try to make sense of the contradictions within the catuskoti by appeal to a series of lattices – orderings of truth-values, supposed to model the path to enlightenment. They use Anderson & Belnaps's (1975) framework of First Degree Entailment. Cotnoir (2015) has argued that the lattices of Priest and Garfield …
Flag-Waving: Visual Arguments, Verbal Reconstruction, And Speaker Intentions, Brian Larson
Flag-Waving: Visual Arguments, Verbal Reconstruction, And Speaker Intentions, Brian Larson
Brian Larson
Radical Social Ecology As Deep Pragmatism: A Call To The Abolition Of Systemic Dissonance And The Minimization Of Entropic Chaos, Arielle Brender
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 …
In Memoriam: Richard Lane Tieszen (1951-2017)
In Memoriam: Richard Lane Tieszen (1951-2017)
Comparative Philosophy
No abstract provided.
Vol 8 No 2 Editor's Words, Bo Mou
Editor's Words, Bo Mou
The C3 Conditional: A Variably Strict Ordinary-Language Conditional, Monique L. Whitaker
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 Polysemy Of ‘Fallacy’—Or ‘Bias’, For That Matter, Frank Zenker
The Polysemy Of ‘Fallacy’—Or ‘Bias’, For That Matter, Frank Zenker
OSSA Conference Archive
Starting with a brief overview of current usages (Sect. 2), this paper offers some constituents of a use-based analysis of ‘fallacy’, listing 16 conditions that have, for the most part implicitly, been discussed in the literature (Sect. 3). Our thesis is that at least three related conceptions of ‘fallacy’ can be identified. The 16 conditions thus serve to “carve out” a semantic core and to distinguish three core-specifications. As our discussion suggests, these specifications can be related to three normative positions in the philosophy of human reasoning: the meliorist, the apologist, and the panglossian (Sect. 4). Seeking to make these …
Toward A Kripkean Concept Of Number, Oliver R. Marshall
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 …