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Logic and Foundations of Mathematics Commons

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Full-Text Articles in Logic and Foundations of Mathematics

01. Harry Stottlemeier's Discovery (Novel - Ebook), Matthew Lipman Jan 2025

01. Harry Stottlemeier's Discovery (Novel - Ebook), Matthew Lipman

Middle School Curriculum

One day Harry finds himself giving the wrong answer in science class and begins to wonder where he has gone wrong. This reflection soon involves his classmates, who begin to think together about the nature of thinking, inquiry and knowledge. With the help of their teacher, Harry and his classmates discover rules of formal and informal logic, relational logic and hypothetical thinking—-not as ends in themselves, but as tools in helping them understand themselves and their world. Some of the ideas they begin to explore this way include education, mind, rights, religion, art, cause and effect, causes and reasons, and …


Foundational Mathematical Beliefs And Ethics In Mathematical Practice And Education, Richard Spindler Jul 2022

Foundational Mathematical Beliefs And Ethics In Mathematical Practice And Education, Richard Spindler

Journal of Humanistic Mathematics

Foundational philosophical beliefs about mathematics in the mathematical community may have an unappreciated yet profound impact on ethics in mathematical practice and mathematics education, which also affects practice. A philosophical and historical basis of the dominant platonic and formalist views of mathematics are described and evaluated, after which an alternative evidence-based foundation for mathematical thought is outlined. The dualistic nature of the platonic view based on intuition is then compared to parallel historical developments of universalizing ethics in Western thought. These background ideas set the stage for a discussion of the impact of traditional mathematical beliefs on ethics in the …


Ethics And Mathematics – Some Observations Fifty Years Later, Gregor Nickel Jul 2022

Ethics And Mathematics – Some Observations Fifty Years Later, Gregor Nickel

Journal of Humanistic Mathematics

Almost exactly fifty years ago, Friedrich Kambartel, in his classic essay “Ethics and Mathematics,” did pioneering work in an intellectual environment that almost self-evidently assumed a strict separation of the two fields. In our first section we summarize and discuss that classical paper. The following two sections are devoted to complement and contrast Kambartel’s picture. In particular, the second section is devoted to ethical aspects of the indirect and direct mathematization of modern societies. The final section gives a short categorization of various philosophical positions with respect to the rationality of ethics and the mutual relation between ethics and mathematics.


Logic, Thought, And Language In Hegel, Marx, And Rosenzweig, Omar Moreno Jan 2020

Logic, Thought, And Language In Hegel, Marx, And Rosenzweig, Omar Moreno

Open Access Theses & Dissertations

The objective of this Thesis is to open a conversation regarding the role of grammar in two areas of philosophy: interpretation and normative philosophy. The task is divided into three chapters, each of which focuses on one major issue. The first is a demonstration of the use of grammar in understanding and interpreting works of philosophy, namely those of Hegel and Marx. The second chapter is an interpretation of Franz Rosenzweig's renovated grammar as seen in The Star of Redemption. The last uses an analysis of grammar to challenge the role of empirical knowledge in community building. The last chapter …


Perceived Vs Actual Clinical Performance Of Athletic Training Students, Joseph C. Rosauer May 2014

Perceived Vs Actual Clinical Performance Of Athletic Training Students, Joseph C. Rosauer

All-Inclusive List of Electronic Theses and Dissertations

Context: Research has suggested a knowledge gap exist within the healthcare community. Identifying potential knowledge gaps and the use of self-reflection can be used to decrease these gaps can affect patient outcomes. Objective: To determine if knowledge gaps do exist within athletic training student’s (ATS) clinical education. Design: Longitudinal non-experimental retrospective study. Subjects: 141 mid semester evaluations of sophomore ATS over a four year period. Main Outcome Measures: We assessed potential knowledge gaps of ATS in the clinical setting. We calculated the difference between a preceptor evaluation of the student and student’s self-evaluation using a One-way ANOVA. We also looked …


04. Harry Stottlemeier's Discovery, Matthew Lipman, Ann Margaret Sharp, Frederick S. Oscanyan Jan 1984

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 …