We explicitly compute, following the method of Weyl, the commutator [Q, P] of the position operatorQ and the momentum operatorP of a particle when the dimension of the space on which they act is finite with a discrete spectrum; and we show that in the limit of a continuous spectrum with the dimension going to infinity this reduces to the usual relation of Heisenberg.

There appears to be a wide measure of agreement, both amongst biologists and others, that Darwin's theory of evolution marks a major breakthrough in the science of biology; Darwin has even been called ‘Biology's Newton’, the highest term of praise that could be bestowed on a scientist. A. G. N. Flew, considering the matter from a philosophical point of view, says: ‘Yet one of the most important of all scientific theories is that developed by Darwin in his Origin of Species (...) . Covering the entire range of biological phenomena its scope is enormous. While if any scientific theory is interesting philosophically this one is.’ In spite of the testimony of both biologists and philosophers of science to the importance of the theory, it does not appear to play anything like the same role in biology as does Newton's theory in physics. For modern physics would be. (shrink)

A law, say, prohibits homosexual conduct or punishes the prostitute for plying her trade. According to some it is a bad law, according to others a necessary one. Those who argue that it is a bad law do so on a variety of grounds—that it is sheer folly to try to change human nature by law, that such legislation can only be effective at the price of the right to privacy, that the punishment of acts arising from compelling desires is (...) cruel and excessive, that the law has no business meddling in what people do to others with their consent. Those who argue that it is a necessary law do so on one ground, that the act in question is immoral, and that what is wrong must be punished, lest the law itself fall into disrepute by failing to carry out a consistent campaign against wrong-doing. (shrink)

In this paper I want to examine the notion of desert, which seems to have been neglected by contemporary philosophers. Apartfrom its interest in its own right, it is important to be clear about the meaning of the word if there is to be any understanding of the idea of punishment. And that we are confused over the whole issue of punishment is obvious both from the remarks of professional philosophers and from the comments of the ‘man in the street’. (...) Because of this confusion, the discussion of any actual punishment seems to take place between two parties who never get to grips with the arguments of the other, as in the whole debate over the death penalty. To one set of people, it is obvious that the retention of hanging depends to a large extent on the question of its effectiveness in deterring murderers; to another it is equally obvious that the murderer ‘deserves’ to hang, and that there is no more to be said about the matter. Capital punishment is not a good starting-point for a discussion of punishment in general, for death is clearly unique among penalties; in addition, the topic gives rise inevitably to much sentimentality and resulting muddle-headedness. (shrink)

In this paper we conduct an analysis of the critical narratives of Stardew Valley and compare them to other relevant videogames in order to develop new possibilities for an ecological critique of capitalist extractive econo­mies. Critical narratives of this game are aimed primarily at the alienating conditions of labour and deeply devastating modes of production under capitalism that impact and severely damage the environment. Analysing these narratives, we superimpose the immediate messages of the game with the procedural rhetoric and material (...) conditions of their existence. Over the course of our analysis, we highlight a material-narrative disso­nance which, in the case of Stardew Valley, fails to function as a commu­nicative strategy of the game and remains its mere external contradiction. Although the game’s critical narrative may seem overly utopian and its political imaginary a bit underdeveloped, the game elaborates on concrete ways to tackle the alienation of labour and resolve the ecological crisis. In addition to this, the paper covers the history of the interplay between the video game industry and the field of global ecological crisis research. We compare the attempts to raise awareness of the videogames’ own material­ity that preceded Stardew Valley. We conclude that Stardew Valley utilises the language of sustainable co-existence and wasteless local production, expanding this logic both to the sphere of labour and the spectrum of en­vironmental problems. In the case of ecological critique, some gameplay decisions in Stardew Valley enable us to come up with new strategies aimed at creating critical narratives about the environment in videogames. Thus supplementing Stardew Valley’s findings with critical tropes derived from other games (mainly, Rain World), we were able to gather a set of theoretical instruments that could facilitate the creation of games about ecosystems. Following Donna Haraway’s emphasis on the crucial role of narrative fram­ing (“it matters which stories tell stories”), we highlight new opportunities for the entire medium of videogames. (shrink)

In their rare comments on Existentialism, contemporary British philosophers, with a few notable exceptions, frequently ridicule the use of “nothing” by such writers as Sartre and Heidegger. And when it is discovered that these writers maintain that the contemplation of nothingness gives rise to anguish, this ridicule is expressed even more strongly. What may be taken as a typical example of this tendency are Professor Ayer's remarks in his Horizon articles on Sartre. A characteristic quotation runs as follows: “In particular, (...) Sartre's reasoning on the subject of le néant seems to me exactly on a par with that of the King in Alice through the Looking-Glass … The point is that words like ‘nothing” and ‘nobody” are not used as the names of something insubstantial and mysterious; they are not used to name anything at all”;. (shrink)

In their rare comments on Existentialism, contemporary British philosophers, with a few notable exceptions, frequently ridicule the use of “nothing” by such writers as Sartre and Heidegger. And when it is discovered that these writers maintain that the contemplation of nothingness gives rise to anguish, this ridicule is expressed even more strongly. What may be taken as a typical example of this tendency are Professor Ayer's remarks in his Horizon articles on Sartre. A characteristic quotation runs as follows: “In particular, (...) Sartre's reasoning on the subject of le néant seems to me exactly on a par with that of the King in Alice through the Looking-Glass … The point is that words like ‘nothing” and ‘nobody” are not used as the names of something insubstantial and mysterious; they are not used to name anything at all”;. (shrink)

Utilitarianism has been attacked many times and from many points of view. Among other objections has been the charge that it cannot account for the moral phenomena connected with justice; we are interested, it is said, not only in producing as much good as possible, but also in distributing it in a certain way. The Utilitarian usually replies that these phenomena either can be deduced from Utilitarianism or are illusory, but a natural reluctance to go against the data of our (...) moral experience usually inclines him to the first alternative. One of the most interesting of the Utilitarians from this point of view is Sidgwick, because he makes Utilitarianism his philosophical basis, but at the same time he has a set of maxims 2 part of whose purpose is to cover the common-sense views on justice. In this article I shall consider the relations between these maxims and Utilitarianism, and shall try to show by means of an example that some of them do go beyond Utilitarianism, and that in so far, at any rate, as these maxims do represent the common-sense view, it and Utilitarianism are not in all cases strictly reconcilable. (shrink)

Trope theory is a leading metaphysical theory in analytic ontology. One of its classic statements is found in the work of Donald C. Williams who argued that tropes qua abstract particulars are the very alphabet of being. The concept of an abstract particular has been repeatedly attacked in the literature. Opponents and proponents of trope theory alike have levelled their criticisms at the abstractness of tropes and the associated act of abstraction. In this paper I defend the concept of a (...) trope qua abstract particular by rejecting arguments that purport to show that tropes should not be understood as abstract and by arguing that the abstractness of tropes plays an indispensable role in one of our more promising trope-theoretic analyses of universals and of concrete objects. (shrink)

The concept of instantiation is realized differently across a variety of metaphysical theories. A certain realization of the concept in a given theory depends on what roles are specified and associated with the concept and its corresponding term as well as what entities are suited to fill those roles. In this paper, the classic realization of the concept of instantiation in a one-category ontology of abstract particulars or tropes is articulated in a novel way and defended against unaddressed objections.