Ethical guidelines for mathematical research and its presentationThe healthy development of mathematics depends heavily on the environment in the mathematical community. Unethical behavior often hurts mathematicians' researches and careers, sometimes very seriously, and consequently hurts the mathematical community and might jeopardise the mathematical research in the relevant directions.The American Mathematical Society has a set of ethical guidelines for mathematicians. The European Mathematical Society also has a code of practice. Though there are such guidelines and code of practice, they cannot be enforced. I hope that mathematicians who wants to maintain a healthy research and teaching enviroment do not coorporate with or conform to those mathematicians who violate these basic ethical guidelines or code of practice. The most recent version of the ethical guidelines of the American Mathematical Society was adopted in 2005. The full guidelines can be found here: ETHICAL GUIDELINES OF THE AMERICAN MATHEMATICAL SOCIETY. Here is the section of the ethical guidelines for mathematical research and its presentation: The public reputation for honesty and integrity of the mathematical community and of the Society is its collective treasure and its publication record is its legacy. The knowing presentation of another person's mathematical discovery as one's own constitutes plagiarism and is a serious violation of professional ethics. Plagiarism may occur for any type of work, whether written or oral and whether published or not. The correct attribution of mathematical results is essential, both because it encourages creativity, by benefiting the creator whose career may depend on the recognition of the work and because it informs the community of when, where, and sometimes how original ideas entered into the chain of mathematical thought. To that end, mathematicians have certain responsibilities, which include the following:
A claim of independence may not be based on ignorance of widely disseminated results. On appropriate occasions, it may be desirable to offer or accept joint authorship when independent researchers find that they have produced identical results. All the authors listed for a paper, however, must have made a significant contribution to its content, and all who have made such a contribution must be offered the opportunity to be listed as an author. Because the free exchange of ideas necessary to promote research is possible only when every individual's contribution is properly recognized, the Society will not knowingly publish anything that violates this principle, and it will seek to expose egregious violations anywhere in the mathematical community. The code of practice of the European Mathematical Society came into effect on November 1, 2012. The full Code can be found here: CODE OF PRACTICE OF THE EUROPEAN MATHEMATICAL SOCIETY. Here is the section of the code of practice on the responsibilities of authors:
It is important to note that it is not unethical to be mistaken in the attribution, or lack of
attribution, of results, provided that authors have carefully sought to determine whether
their claimed results are new, and provided that errors of attribution are corrected in a
timely and appropriate manner, as they are discovered or pointed out.
Publication of mathematical results as one's own when the author has learned of the
results from others, for example through published material, lectures, conversation, or
earlier informal publication, constitutes plagiarism: this is a form of theft, is unethical,
and constitutes serious misconduct.
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