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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 …


Ethics: Contemporary Readings, Edited By Harry J. Gensler, Earl W. Spurgin, And James C. Swindal, Harry Gensler, S.J., Earl Spurgin, James Swindal Apr 2013

Ethics: Contemporary Readings, Edited By Harry J. Gensler, Earl W. Spurgin, And James C. Swindal, Harry Gensler, S.J., Earl Spurgin, James Swindal

Earl W. Spurgin

No abstract provided.


Ethics And The Golden Rule, Harry Gensler, S.J. Dec 2012

Ethics And The Golden Rule, Harry Gensler, S.J.

Harry J. Gensler, S.J.

Harry J. Gensler defends the golden rule and addresses all of the major philosophic objections, pointing out several common misunderstanding and misapplications. Gensler first discusses golden-rule reasoning and how to avoid the main pitfalls. He then relates the golden rule to world religions and history, and to areas like moral education, egoism, evolution, society, racism, business, and medicine. The book ends with a discussion of theoretical issues (like whether all morality reduces to the golden rule, which the author argues against).


Ethics: Contemporary Readings, Edited By Harry J. Gensler, Earl W. Spurgin, And James C. Swindal, Harry Gensler, S.J., Earl Spurgin, James Swindal Dec 2012

Ethics: Contemporary Readings, Edited By Harry J. Gensler, Earl W. Spurgin, And James C. Swindal, Harry Gensler, S.J., Earl Spurgin, James Swindal

Harry J. Gensler, S.J.

No abstract provided.


Ethics And Experience: Life Beyond Moral Theory, Harry Gensler, S.J. Sep 2011

Ethics And Experience: Life Beyond Moral Theory, Harry Gensler, S.J.

Harry J. Gensler, S.J.

The article reviews the book "Ethics and Experience: Life Beyond Moral Theory," by Timothy Chappell.


Darwin, Ethics And Evolution, Harry Gensler, S.J. Dec 2008

Darwin, Ethics And Evolution, Harry Gensler, S.J.

Harry J. Gensler, S.J.

This coherent collection of original papers marks the 150 year anniversary since the publication of Charles Darwin's Origin of Species (1859). Although the area of evolution-related publications is vast, the area of interaction between Darwinian ideas and specifically Catholic doctrine has received limited attention. This interaction is quite distinct from the one between Darwinism and the Christian tradition in general. Interest in Darwin from the Catholic viewpoint has recently been rekindled.


Ethics: Contemporary Readings, Edited By Harry J. Gensler, Earl W. Spurgin, And James C. Swindal, Harry Gensler, S.J., Earl Spurgin, James Swindal Dec 2003

Ethics: Contemporary Readings, Edited By Harry J. Gensler, Earl W. Spurgin, And James C. Swindal, Harry Gensler, S.J., Earl Spurgin, James Swindal

Harry J. Gensler, S.J.

No abstract provided.


Ethics: A Contemporary Introduction, Harry Gensler, S.J. Dec 1997

Ethics: A Contemporary Introduction, Harry Gensler, S.J.

Harry J. Gensler, S.J.

No abstract provided.


Formal Ethics, Harry Gensler, S.J. Dec 1995

Formal Ethics, Harry Gensler, S.J.

Harry J. Gensler, S.J.

Formal Ethics is the study of formal ethical principles. The most important of these, perhaps even the most important principle of life, is the golden rule: "Treat others as you want to be treated". Although the golden rule enjoys support amongst different cultures and religions in the world, philosophers tend to neglect it. Formal Ethics gives the rule the attention it deserves.