In early 2020, a number of countries developed and published intensive care triage guidelines for the pandemic. Several of those guidelines, especially in the UK, encouraged the explicit assessment...

In this third and last paper on inner models we consider some of the inherent limitations of the method of using inner models of the type defined in 1.2 for the proof of consistency results for the particular system of set theory under consideration. Roughly speaking this limitation may be described by saying that practically no further consistency results can be obtained by the construction of models satisfying the conditions of theorem 1.5, i.e., conditions 1.31, 1.32, 1.33, 1.51, viz.:This applies (...) in particular to the ‘complete models’ defined in 1.4. Before going on to a precise statement of these limitations we shall consider now the theorem on which they depend. This is concerned with a particular type of complete model examples of which we call “proper complete models”; they are those complete models which are essentially interior to the universe, those whose classes are sets of the universe constituting a class thereof, i.e., those for which the following proposition is true:The main theorem of this paper is that the statement that there are no models of this kind can be expressed formally in the same way as the axioms A, B, C and furthermore it can be proved that if the axiom system A, B, C is consistent then so is the system consisting of axioms A, B, C, plus this new hypothesis that there exist no proper complete models. When combined with the axiom ‘V = L’ introduced by Gödel in this new hypothesis yields a system in which any normal complete model which exists has for its universal class V, the universal class of the original system. (shrink)

In his discussion of the ethics of suicide Plato alludes to more than one traditional injunction against it:indicates a fairly general acceptance of its wickedness. Cebes has heard the Pythagorean Philolaus, among others, saying that suicide was immoral, but has gathered no satisfactory explanation as to why this should be so. One reason, impressive, but, Socrates admits, difficult is to be found.

Imagine that we are considering whether our healthcare system (or insurer) should fund treatment or procedure X. One factor that may be cited is that of so-called ‘medical necessity’. The claim would be that treatment X should be eligible for funding if it is medically necessary, but ineligible if this does not apply. Similarly, (and relevant to the debates in this special issue), if considering whether a particular treatment should be ethically and/or legally permitted, we may wish to distinguish between (...) cases where the treatment is medically necessary, and those were it is not. But what do we mean by this concept? Here I will propose and briefly defend one plausible and practical definition. (shrink)

C W Evers, J C Walker; Knowledge, Partitioned Sets and Extensionality: a refutation of the forms of knowledge thesis, Journal of Philosophy of Education, Volume.

It is the purpose of this paper to carry out a partial syntactical analysis of imperatives. Imperatives form a large body of linguistic expressions, appearing, e.g. in mathematical proofs be a continuous function!”), laws, moral injunctions, instruction, etc. For analytical purposes we distinguish between two forms of imperatives, the fiat and the directive. By a directive we mean an imperative which includes an indication of the agent who is to carry it out. For example, “Henry, don't forget to stop at (...) the grocery!” is a directive. By a fiat we mean an imperative which includes no reference to an agent who is to carry it out. For example, “Let there be light!” is a fiat. This is a distinction made in terms of meaning. If, however, proper symbolic devices were introduced for the formalization of imperatives, it could be made in a syntactical manner. Thus we could distinguish between imperatives which possess a certain operator—the directive operator formed by putting a name within square brackets—as “[Henry]!”, and imperatives which do not possess this operator, e.g. “Let it be the case that Henry does not forget to stop at the grocery!” In the following we pay attention only to fiats. This, of course, involves a great limitation of subject matter and excludes topics of great interest. (shrink)

C W Evers, J C Walker; Pyrotechnics Defended: a reply to Jim Mackenzie, Journal of Philosophy of Education, Volume 21, Issue 1, 30 May 2006, Pages 139–142, http.

In defining physical (i.e. causal dynamic) units to which conscious experience is to be ascribed, integrated information theory (IIT) raises three notable requirements: (1) that a unit to which consciousness is ascribed must be defined, or circumscribed, by some intrinsic aspect or property, where intrinsic implies existing 'for itself' or 'from its point of view'; (2) that the intrinsic aspect that defines the unit to which consciousness is ascribed must be dynamic (i.e. involve causal power) rather than purely structural or (...) kinematic; (3) that this dynamic aspect must involve the integration of elements of information in such a way that semantic values of elements are interdependent, allowing rich meaning. It will be argued that, although these requirements are all well-motivated, IIT falls short on them within a testable natural science framework. Concerns raised about the three requirements all point towards one central problem: that the concept of 'integrated information' does not involve any specific causal relation. Although IIT starts from strictly causal premises, the final analysis appears to invoke two incompatible accounts of the same events, with 'integration' having no causal relational basis. It will also be argued that the way IIT attempts to provide a testable theory of dynamic units to which consciousness is ascribed mustcausal reason inherent in any means of testing, be at best redundant for in the human case and, as a general principle, untenable. (shrink)

In 1926, Mally presented the first formal system of deontic logic. His system had several consequences which Mally regarded as surprising but defensible. It also, however, has the consequence that A is obligatory if and only if A is the case, which is unacceptable from the point of view of any reasonable deontic logic. We describe Mally's system and discuss how it might reasonably be repaired.

Since the Global Financial Crisis, a surge of interest in the use of finance as a tool to address social and economic problems suggests the potential for a generational shift in how the finance industry operates and is perceived. J. C. de Swaan seeks to channel the forces of well-intentioned finance professionals to improve finance from within and help restore its focus on serving society. Drawing from inspiring individuals in the field, de Swaan proposes a framework for pursuing a viable (...) career in finance while benefiting society and upholding humanistic values. In doing so, he challenges traditional concepts of success in the industry. This will also engage readers outside of finance who are concerned about the industry's impact on society. (shrink)

This chapter contains sections titled: Notes.