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Logic and Foundations of Mathematics

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Articles 1 - 30 of 135

Full-Text Articles in Philosophy of Language

Model-Theoretic Arguments In Philosophy, Peter Susanszky Sep 2026

Model-Theoretic Arguments In Philosophy, Peter Susanszky

Dissertations, Theses, and Capstone Projects

This dissertation is on model-theoretic arguments in philosophy, especially those of Quine, Davidson, and Putnam. In the first part, to ground the debate, I give a rigorous introduction to the salient parts of first-order model theory. I start the second part by giving an introduction to Quine's philosophy, and how the model-theoretic arguments fit into it. After considering how Donald Davidson adopted the Quinean lesson, I move on to Putnam's model-theoretic arguments. Putnam's spin on these model-theoretic considerations significantly departs from Quine and Davidson, while retaining many of the core ideas. Most importantly, I argue that the target of Putnam's …


Challenging The Double-Negation Principle: An Analysis Of Strategic Theories Of Sun Zi, Carnot, And Clausewitz Through Intuitionist Logic, Antonino Drago Jan 2026

Challenging The Double-Negation Principle: An Analysis Of Strategic Theories Of Sun Zi, Carnot, And Clausewitz Through Intuitionist Logic, Antonino Drago

Comparative Philosophy

To study a subject similarly represented in Eastern and Western cultures, I examine some classical theories of war strategy according to a new analytical method. This method is based on the recognition that the most important strategic theories are organized as theories essentially not deduced from axioms according to classical logic. Such theories reason through doubly negated propositions (DNPs), whose meanings differ from those of their affirmative counterparts. This corresponds to the use of intuitionist logic instead of classical logic. An inspection of the works of the texts of Sun Zi, Lazare Carnot, and Clausewitz reveals many such propositions, and …


Moretheless, Abdelghani Alnahawi Jun 2023

Moretheless, Abdelghani Alnahawi

Masters Theses

material investigations becoming questions with interjections


Ineffability, Emptiness And The Aesthetics Of Logic, Andreas Kapsner Jan 2023

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 Sep 2022

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 Jul 2020

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 Jul 2020

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 Feb 2020

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 Jan 2020

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 …


Recapture, Transparency, Negation And A Logic For The Catuṣkoṭi, Adrian Kreutz Jan 2019

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 …


Radical Social Ecology As Deep Pragmatism: A Call To The Abolition Of Systemic Dissonance And The Minimization Of Entropic Chaos, Arielle Brender May 2018

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) Jul 2017

In Memoriam: Richard Lane Tieszen (1951-2017)

Comparative Philosophy

No abstract provided.


Vol 8 No 2 Editor's Words, Bo Mou Jul 2017

Vol 8 No 2 Editor's Words, Bo Mou

Comparative Philosophy

No abstract provided.


Vol 8 No 2 Contents Page Jul 2017

Vol 8 No 2 Contents Page

Comparative Philosophy

No abstract provided.


Vol 8 No 2 Information Page Jul 2017

Vol 8 No 2 Information Page

Comparative Philosophy

No abstract provided.


Vol 8 No 2 Cover Page Jul 2017

Vol 8 No 2 Cover Page

Comparative Philosophy

No abstract provided.


Editor's Words, Bo Mou Jan 2017

Editor's Words, Bo Mou

Comparative Philosophy

No abstract provided.


Vol 8 No 1 Contents Page Jan 2017

Vol 8 No 1 Contents Page

Comparative Philosophy

No abstract provided.


Vol 8 No 1 Information Page Jan 2017

Vol 8 No 1 Information Page

Comparative Philosophy

No abstract provided.


Vol 8 No 1 Cover Page Jan 2017

Vol 8 No 1 Cover Page

Comparative Philosophy

No abstract provided.


Vol 7 No 2 Contents Page Jul 2016

Vol 7 No 2 Contents Page

Comparative Philosophy

No abstract provided.


Vol 7 No 2 Information Page Jul 2016

Vol 7 No 2 Information Page

Comparative Philosophy

No abstract provided.


Vol 7 No 2 Cover Page Jul 2016

Vol 7 No 2 Cover Page

Comparative Philosophy

No abstract provided.


The C3 Conditional: A Variably Strict Ordinary-Language Conditional, Monique L. Whitaker Jun 2016

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 …


Toward A Kripkean Concept Of Number, Oliver R. Marshall Feb 2016

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 …


Vol 7 No 1 Contents Page Dec 2015

Vol 7 No 1 Contents Page

Comparative Philosophy

No abstract provided.


Vol 7 No 1 Information Page Dec 2015

Vol 7 No 1 Information Page

Comparative Philosophy

No abstract provided.


Vol 7 No 1 Cover Page Dec 2015

Vol 7 No 1 Cover Page

Comparative Philosophy

No abstract provided.


An Examination Of Principals In Effective High-Poverty Middle Schools With High Achievement, Rhonda J. Mull Dec 2014

An Examination Of Principals In Effective High-Poverty Middle Schools With High Achievement, Rhonda J. Mull

All-Inclusive List of Electronic Theses and Dissertations

No abstract provided.


The Effects Of Processing Fluency On Restorative Environments, Andrea Ahles Dec 2013

The Effects Of Processing Fluency On Restorative Environments, Andrea Ahles

All-Inclusive List of Electronic Theses and Dissertations

No abstract provided.