Logic and Foundations of Mathematics Commons^™

A-Logic, Richard Bradshaw Angell

Philosophy Faculty Research Publications

A-LOGIC is a full-length book (600+ pg). It functions as a system of logic designed to: 1) solve the standard paradoxes and major problems of standard mathematical logic; 2) minimize that logic's anomalies with respect to ordinary language, yet; 3) prove that all theorems in mathematical logic are tautologies.

It covers lst order logic the logic of the words "and", "or", "not", "all" and "some". But it also has a non truth functional "if...then" and differs in its definition of validity, its semantics and its theorems. In the book A-logic is contrasted step by step with standard mathematical logic as …

The 'Most Important And Fundamental' Distinction In Logic, G. C. Goddu

Philosophy Faculty Publications

In this paper I argue that the debate over the purported distinction between deductive and inductive arguments can be bypassed because making the distinction is unnecessary for successfully evaluating arguments. I provide a foundation for doing logic that makes no appeal to the distinction and still performs all the relevant tasks required of an analysis of arguments. I also reply to objections to the view that we can dispense with the distinction. Finally, I conclude that the distinction between inductive and deductive arguments is not one of the most important and fundamental ideas in logic, but rather is unnecessary.

Trends. Logic Limitations And Missile Defense, Ibpp Editor

International Bulletin of Political Psychology

This article discusses the limitations of logic in truth-finding using public discourse on national missile defense as an example.

04. Harry Stottlemeier's Discovery, Matthew Lipman, Ann Margaret Sharp, Frederick S. Oscanyan

Middle School Curriculum

This instructional manual includes hundreds of short, accessible explanations of the philosophical ideas and issues written into HARRY the novel, and as such is a valuable introduction to philosophy. Adults with no experience in academic philosophy will have no trouble using this manual to engage young people in philosophical dialogue. The manual provides discussion plans and exercises to help the students think for themselves about the philosophical ideas most relevant to their experience. The manual is also a primer in critical thinking and formal and informal logic, which are treated as helpful tools for inquiry. Students will find the logic …

Basic Applied Logic, Kenton Machina

Faculty Publications - Philosophy

From the preface:

This is a practical book, intended to help its users develop logical reasoning skills. It is designed for any introductory course that focuses on the development of those skills—whether that course takes an "informal" nonsymbolic approach or a more formal approach. Although it contains optional sections in which modern symbolic logic is carefully developed through first-order predicate calculus, the book maintains a practical orientation, emphasizing only those aspects of logical theory that bear on argument evaluation and argument construction. Thus, the book is well-suited for use in a wide range of introductory applied logic courses, introductory philosophy …

Hermeneutics Of Experimental Science In The Context Of The Life-World, Patrick A. Heelan

Articles and Chapters in Academic Book Collections

Science is distinguished as an element of our total contemporary culture, or “historical science,” from science as the professional business of natural scientists, or “experimental science.” Phenomenology has always taken a very critical stance against certain defects or biases -- objectivism, scientism, technicism -- it has found in historical science. It is my purpose to show that these defects and biases, associated historically with physical science, are not necessary parts of physical science, and consequently, that physics, especially experimental physics, has all of those hermeneutical, ontological, historical and dialectical dimensions negated by historical science. The notion of dialectic is given …

Hermeneutics Of Experimental Science In The Context Of The Life-World, Patrick A. Heelan

Research Resources

Science is distinguished as an element of our total contemporary culture, or “historical science,” from science as the professional business of natural scientists, or “experimental science.” Phenomenology has always taken a very critical stance against certain defects or biases -- objectivism, scientism, technicism -- it has found in historical science. It is my purpose to show that these defects and biases, associated historically with physical science, are not necessary parts of physical science, and consequently, that physics, especially experimental physics, has all of those hermeneutical, ontological, historical and dialectical dimensions negated by historical science. The notion of dialectic is given …

03. First Edition Of Harry Stottlemeier's Discovery (1974) By Matthew Lipman, Matthew Lipman

Middle School Curriculum

Harry Stottlemeier's Discovery is the student book for a project in philosophical thinking. It offers a model of dialogue—both of children with one another and of children with adults. The story is set among a classroom of children who begin to understand the basics of logical reasoning when Harry, who isn't paying attention in class, says that a comet is a planet because he remembers hearing that comets revolve around the sun just as planets do. The events that follow in the classroom and outside of school are a recreation of the ways that children night might find themselves thinking …

Prolegomenon To A Neo-Kantian Student Heuristic, John W. Nageley Iii

All Master's Theses

The author attempts an in-depth study of Immanuel Kant's Critique of Pure Reason in order to prepare a text for college students in composition courses. It was to be a text designed to help students come to terms with some of the more perplexing problems of man's intellectual life by providing them with the means for understanding the structure of thought. As it stands now, though, this is a prolegomen to that text. It contains the essential theory for the text, but lacks sufficient examples to make it readily accessible to the student, and it lacks the exercises needed to …