Logic and Foundations of Mathematics Commons^™

Against The Intentional Definition Of Argument, G. C. Goddu

Philosophy Faculty Publications

Intentional definitions of argument, i.e. the conclusion being intended to follow from the premises, abound. Yet, there are numerous problem cases in which we appear to have arguments, but no intention. One way to try to avoid these problem cases is to appeal to acts, in which case one has to give up on the repeatability of arguments. One can keep repeatability and intentions if one resorts to act types, but then it appears that the problem cases re-emerge.

Fictionalism, Semantics, And Ontology, Gordon Purves

Philosophy, Theology and Religious Studies Faculty Publications

This article expands upon the argument of a previous work which defended a variational account of scientific fictions. Specifically, I show that this understanding of scientific fictions can provide guidance for realist interpretations of scientific theories and models. Depending on a model's variational properties, different ontological commitments are appropriate, providing a principled way for a realist to moderate her views according to the structural properties of a given model. This reasoning is then applied the Lee-Yang theory and Kubo-Martin-Schwinger statistics, two foundational models in quantum statistical mechanics. The Lee-Yang theory is analyzed in a way that permits a robust realist …

The Logic Of Internal Relations, Jake S. Cardillo

Senior Projects Spring 2018

Senior Project submitted to The Division of Social Studies of Bard College.

Seeing And Understanding Data: A Mini-Primary Source Project For Students Of Statistics, Charlotte Bolch, Beverly Wood

Publications

Mathematicians and scientists included drawings in their work before the first statistical graphs were invented. However, their illustrations were meant to depict quantifiable relationships rather than exposing statistical variability. The uses of pictorial representations or charts to convey trends among variable measurements dates back to at least the late 10th century. However, this means of communication did not gain the widespread appreciation it enjoys today until technological advances in the 21st century stimulated the growth of a new field, data visualization. The mini-Primary Source Project (PSP) Seeing and Understanding Data provides students the opportunity to explore the evolution of statistical …

The Fraïssé Construction, Mostafa Mirabi

Mostafa Mirabi

No abstract provided.

The Generalized Products, Mostafa Mirabi

Mostafa Mirabi

No abstract provided.

Forall X: Introduction To Formal Logic, Version 1.40, P.D. Magnus

Philosophy Faculty Books

In formal logic, sentences and arguments in English are translated into mathematical languages with well-defined properties. If all goes well, properties of the argument that were hard to discern become clearer. This book covers translation, formal semantics, and proof theory for both sentential logic and quantified logic. Each chapter contains practice exercises; solutions to selected exercises appear in an appendix

Socratic Metaethics Imagined, Steve Ross, Lisa Warenski

Sophia and Philosophia

A time machine mysteriously appeared one day in ancient Athens. Curious about the future of philosophical dialogue, Socrates entered the device and traveled to the 21st Century. He spent several months in the United Kingdom and United States discussing metaethics before returning to Athens, now a devoted and formidable quasi-realist moral expressivist.

Platonism Of The Future, Patrick L. Miller

Sophia and Philosophia

Buying textbooks, writing syllabi, and putting on armor. This is how many students and teachers prepared to return to campus this past fall. The last few years have witnessed an intensifying war for the soul of the university, with many minor skirmishes, and several pitched battles. The most dramatic was last spring at Evergreen State, shortly before the end of the spring semester.[1] Perhaps the most dramatic since then has been at Reed College.[2] There is no shortage of examples, filling periodicals left and right. Wherever it next explodes, this war promises more ferocity, causing more casualties—careers, programs, ideals.

We Scholars, Mark Anderson

Sophia and Philosophia

As a graduate student in my late twenties, I began one winter to experience attacks of migraine fever while conducting research preliminary to the writing of my doctoral thesis. Long hours sitting alone in the basement rooms of university libraries, hunched over a creaking desk, chasing down references to obscure manuscripts, translating ancient languages from small-print editions of old books, copying extended extracts into my notes, formulating and recording my own insights and arguments—all this intellectual labor executed while hidden away from the sun drained me of the vigor I’d acquired as a child on walking tours with my father. …

Formalizing The Panarchy Adaptive Cycle With The Cusp Catastrophe, Martin Zwick, Joshua Hughes

Systems Science Faculty Publications and Presentations

The panarchy adaptive cycle, a general model for change in natural and human systems, can be formalized by the cusp catastrophe of René Thom's topological theory. Both the adaptive cycle and the cusp catastrophe have been used to model ecological, economic, and social systems in which slow and small continuous changes in two control variables produce fast and large discontinuous changes in system behavior. The panarchy adaptive cycle, the more recent of the two models, has been used so far only for qualitative descriptions of typical dynamics of such systems. The cusp catastrophe, while also often employed qualitatively, is a …

The Feferman-Vaught Theorem, Mostafa Mirabi

Mostafa Mirabi

In Memoriam: Richard Lane Tieszen (1951-2017)

Comparative Philosophy

No abstract provided.

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 invalid and …

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.

Explanatory Statements – The Theory Of Why, Aharon Grenadir

School for Lifelong Education Publications

The author explains what explanatory statements are, focusing on examples in Jewish texts.