It is only when mixing two or more pure substances along a reversible path that the entropy of the mixing can be made physically manifest. It is not, in this case, a mere mathematical artifact. This mixing requires a process of successive stages. In any finite number of stages, the external manifestation of the entropy change, as a definite and measurable quantity of heat, isa fully continuous function of the relevant variables. It is only at an infinite and unattainable limit (...) thata non-uniform convergence occurs. And this occurs when considered in terms of the number of stages together with a distinguishability parameter appropriate to the particular device which is used to achieve reversibility. These considerations, which are of technological interest to chemical engineers, resolve a paradox derived in chemical theory called Gibbs'' Paradox. (shrink)

The birth rates per 1000 married females of specified ages and durations of marriage generally attained their post-war maxima in 19463000 and (b) the cumulative fertility up to 5 or 10 years of marriage duration of later cohorts was considerably higher (13–40% higher) than that of earlier cohorts. These facts, and similar ones for Australia covering a wider period (Basavarajappa, 1964), are thought to suggest that the total fertility of cohorts who have not yet completed their childbearing might not be (...) far outside the limits of 2500 and 3000. (shrink)

This paper was delivered at the 2009 annual conference of the National Council on Ethics in Human Research. It is a reflective piece based on many years of experience with human research ethics and the role of Research Ethics Boards in human participant research.

K G Fleming; Criteria of Learning and Teaching, Journal of Philosophy of Education, Volume 14, Issue 1, 30 May 2006, Pages 39–51, https://doi.org/10.1111/j.1467.

Because the evolution of speech production is beyond our expertise (and perhaps beyond everyone's expertise) we restrict our comments to areas in which data actually exist. We provide articulatory evidence consistent with the claims made about syllable structure in adult speech and infant babbling, but we also voice some disagreement about speech errors and the typing data.

As a result of the increase in genetic testing and the fear of discrimination by insurance companies, employers, and society as a result of genetic testing, the disciplines of ethics, public health, and genetics have converged. Whether relatives of someone with a positive predictive genetic test should be notified of the results and risks is a matter urgently in need of debate. Such a debate must encompass the moral and ethical obligations of the diagnosing physician and the patient. The decision (...) to inform or not will vary depending on what moral theory is used. Utilising the utilitarian and libertarian theories produces different outcomes. The principles of justice and non-maleficence will also play an important role in the decision. (shrink)

Dialectical logic is the science of the most general laws of development of nature, society, and human thought. These laws are reflected in the form of special concepts called the categories of logic. Therefore d. 1. may also be defined as the science of dialectical categories. Comprising a system of dialectical categories, it investigates their mutual relationship, sequence, and the transitions from one category to another.

It is proved that the relevance logic \ has no structurally complete consistent axiomatic extension, except for classical propositional logic. In fact, no other such extension is even passively structurally complete.