The FefermanVaught Theorem, 2017 Wesleyan University
The FefermanVaught Theorem, Mostafa Mirabi
Mostafa Mirabi
In Memoriam: Richard Lane Tieszen (19512017), 2017 San Jose State University
In Memoriam: Richard Lane Tieszen (19512017)
Comparative Philosophy
No abstract provided.
Moving, Moved And Will Be Moving: Zeno And Nāgārjuna On Motion From Mahāmudrā, Koan And Mathematical Physics Perspectives, 2017 San Jose State University
Moving, Moved And Will Be Moving: Zeno And Nāgārjuna On Motion From Mahāmudrā, Koan And Mathematical Physics Perspectives, Robert Alan Paul
Comparative Philosophy
Zeno’s Arrow and Nāgārjuna’s Fundamental Wisdom of the Middle Way (Mūlamādhyamakakārikā, MMK) Chapter 2 (MMK/2) contain paradoxical, dialectic arguments thought to indicate that there is no valid explanation of motion, hence there is no physical or generic motion. There are, however, diverse interpretations of the latter text, and I argue they apply to Zeno’s Arrow as well. I also find that many of the interpretations are dependent on a mathematical analysis of material motion through space and time. However, with modern philosophy and physics we find that the link from no explanation to no phenomena is ...
Vol 8 No 2 Editor's Words, 2017 San Jose State University
Vol 8 No 2 Contents Page, 2017 San Jose State University
Vol 8 No 2 Information Page, 2017 San Jose State University
Vol 8 No 2 Cover Page, 2017 San Jose State University
Rampant NonFactualism: A Metaphysical Framework And Its Treatment Of Vagueness, 2017 Boise State University
Rampant NonFactualism: A Metaphysical Framework And Its Treatment Of Vagueness, Alexander Jackson
Alexander Jackson
Revolution In Ideology: Crafting A Holistic Scientific Dialectic, 2017 Abilene Christian University
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.
The Proscriptive Principle And Logics Of Analytic Implication, 2017 The Graduate Center, City University of New York
The Proscriptive Principle And Logics Of Analytic Implication, Thomas M. Ferguson
All Graduate Works by Year: Dissertations, Theses, and Capstone Projects
The analogy between inference and mereological containment goes at least back to Aristotle, whose discussion in the Prior Analytics motivates the validity of the syllogism by way of talk of parts and wholes. On this picture, the application of syllogistic is merely the analysis of concepts, a term that presupposes—through the root ἀνά + λύω —a mereological background.
In the 1930s, such considerations led William T. Parry to attempt to codify this notion of logical containment in his system of analytic implication AI. Parry’s original system AI was later expanded to the system PAI. The hallmark of Parry’s ...
Editor's Words, 2017 San Jose State University
Vol 8 No 1 Contents Page, 2017 San Jose State University
Vol 8 No 1 Information Page, 2017 San Jose State University
Vol 8 No 1 Cover Page, 2017 San Jose State University
An Introduction To Logic: From Everyday Life To Formal Systems, 2017 Smith College
An Introduction To Logic: From Everyday Life To Formal Systems, Albert Mosley, Eulalio Baltazar
Open Educational Resources: Textbooks
An introduction to the discipline of logic covering subjects from the structures of arguments, classical and modern logic, categorical and inductive inferences, to informal fallacies.
Three Essays In Intuitionistic Epistemology, 2016 The Graduate Center, City University of New York
Three Essays In Intuitionistic Epistemology, Tudor Protopopescu
All Graduate Works by Year: 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 ...
Mathematical Practice And Human Cognition, 2016 Indiana University  Purdue University Fort Wayne
Mathematical Practice And Human Cognition, Bernd Buldt
Philosophy Faculty Presentations
Frank Quinn (of JaffeQuinn fame, see [1]) worked out the basics of his own account of mathematical practice, an account that is informed by an analysis of contemporary mathematics and its pedagogy (see [2]). Taking this account as our starting point, we can characterize the current mathematical practice to acquire and work with new concepts as a cognitive adaptation strategy that, first, emerged to meet the challenges posed by the growing abstractness of its objects and which, second, proceeds according to the following threepronged approach:

(i) sever as many ties to ordinary language as possible and limit ordinary language explanations ...
On Fixed Points, Diagonalization, And SelfReference, 2016 Indiana University  Purdue University Fort Wayne
On Fixed Points, Diagonalization, And SelfReference, Bernd Buldt
Philosophy Faculty Presentations
We clarify the respective role fixed points, diagonalization, and self reference play in proofs of G ̈odel’s first incompleteness theorem. We first show that the usual fixedpoint construction can be reduced to a double diagonalization; this is done to address widely held views such as that fixedpoint are “paradoxical” (Priest), or work by “black magic” (Soare), or that their construction is “intuitively unclear” (Kotlarski). We then discuss three notions of selfreference; this can be seen an extension of a recent study by Halbach and Visser and is meant to show that we do not (yet?) have a robust theory ...
Mathematical Practice And Human Cognition, 2016 Indiana University  Purdue University Fort Wayne
Mathematical Practice And Human Cognition, Bernd Buldt
Philosophy Faculty Presentations
Frank Quinn (of JaffeQuinn fame, see [1]) worked out the basics of his own account of mathematical practice, an account that is informed by an analysis of contemporary mathematics and its pedagogy (see [2]). Taking this account as our starting point, we can characterize the current mathematical practice to acquire and work with new concepts as a cognitive adaptation strategy that, first, emerged to meet the challenges posed by the growing abstractness of its objects and which, second, proceeds according to the following threepronged approach:

(i) sever as many ties to ordinary language as possible and limit ordinary language explanations ...
Vol 7 No 2 Contents Page, 2016 San Jose State University