Logic and Foundations of Mathematics Commons^™

Three Essays On Substructural Approaches To Semantic Paradoxes, Brian C. Porter

Dissertations, Theses, and Capstone Projects

This thesis consists of three papers on substructural approaches to semantic paradoxes. The first paper introduces a formal system, based on a nontransitive substructural logic, which has exactly the valid and antivalid inferences of classical logic at every level of (meta)inference, but which I argue is still not classical logic. In the second essay, I introduce infinite-premise versions of several semantic paradoxes, and show that noncontractive substructural approaches do not solve these paradoxes. In the third essay, I introduce an infinite metainferential hierarchy of validity curry paradoxes, and argue that providing a uniform solution to the paradoxes in this hierarchy …

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 …

Zero Textbook Cost Syllabus For Phi 1600 (Logic And Moral Reasoning), Alexander Steers-Mccrum

Open Educational Resources

The goal of this class is to familiarize students with formal and informal logic. Logic illustrates and explores the connections between ideas. It can help us evaluate our beliefs and make and understand arguments. Aside from its use in philosophy, logic is of particular importance in mathematics and law, and is foundational for computer science.

Zero Textbook Cost Syllabus For Phi 1600 (Logic And Moral Reasoning), Andreea Prichea

Open Educational Resources

The goal of the course is for students to familiarize themselves with the structure of an argument. Identify and iterate the difference between inductive and deductive, valid and invalid arguments. Learn methods to determine if an argument is valid or invalid, and be able to identify faulty arguments based on the argument's structure. The core of the course will focus on deductive arguments as they relate to moral arguments. . The student throughout the course will be exposed to arguments in natural language, and try to analyze them through the methods learned.

Zero Textbook Cost Syllabus For Phi 1600 (Logic And Moral Reasoning), Gerrit Jan Kamperdyk

Open Educational Resources

This course examines the principles of clear and accurate thought, including sound and valid arguments and methods of scientific reasoning in moral and political argument.

Zero Textbook Cost Syllabus For Phi 1600 (Logic And Moral Reasoning), Jesse Rappaport

Open Educational Resources

This course examines the principles of clear and accurate thought, including sound and valid arguments and methods of scientific reasoning in moral and political argument.