In 1956, a few writings of Wittgenstein that he didn't publish in his lifetime were revealed to the public. These writings were gathered in the book Remarks on the Foundations of Mathematics (1956). There, we can see that Wittgenstein had some discontentment with the way philosophers, logicians, and mathematicians were thinking about paradoxes, and he even registered a few polemic reasons to not accept Gödel’s incompleteness theorems.

A course of lectures delivered at Cambridge in the summer of 1953. They include pieces by Moore, Broad, and Ryle. Körner's "Some Types of Philosophical Thinking" and Ryle's "The Theory of Meaning" are especially stimulating; the book as a whole presents an absorbing picture of contemporary British philosophy.--A. C. P.

Using covariant derivatives and the operator definitions of quantum mechanics, gauge invariant Proca and Lehnert equations are derived and the Lorenz condition is eliminated in U(1) invariant electrodynamics. It is shown that the structure of the gauge invariant Lehnert equation is the same in an O(3) invariant theory of electrodynamics.

As the United States is currently prosecuting two wars, it is important to consider whether those wars, and the resulting noncombatantcasualties, can be morally justified. Such consideration can be initiated by considering some of Alan Donagan’s work in his book The Theory of Morality. In that book Donagan sets out to develop, as a philosophical system, that part of the common morality according to the Hebrew-Christian tradition, which does not depend on any theistic beliefs. According to that tradition it is (...) sometimes morally permissible to resort to war. This poses a problem because also part of the tradition is a near absolute prohibition on harming innocent people. Since innocent people die in war, there is a tension here.Donagan claims that this problem can be solved by assigning the blame for some such deaths to the aggressor, thereby permitting (some) resorts to war. This paper shows that this solution is inadequate; and defends a more plausible (and more traditional) justification for some innocent deaths. This justification is consistent with the system Donagan develops, and thus may have application in the consideration of the justification of the two wars currently being prosecuted by the United States. (shrink)

The criminal law presently distinguishes between actions and omissions, and only rarely proscribes failures to avert consequences that it would be an offense to bring about. Why? In recent years it has been persuasively argued by both Glover and Bennett that, celeris paribus, omissions to prevent a harm are just as culpable as are actions which bring that harm about. On the other hand, and acknowledging that hitherto “lawyers have not been very successful in finding a rationale for it,” Tony (...) Honoré has sought to defend the law's differential treatment. He proposes a “distinct-duties theory” that in addition to the general duties we owe to everyone, we also owe distinct duties to a more limited collection of people and associations, specified by features of our relationship with them. Where a distinct duty holds, breach by omission may well be no better than breach by positive action. But absent a distinct duty, omissions, per Honoré, are less culpable. They are mere failures to intervene and improve or rectify things, whereas actions are positive interventions which make things worse. And, thus, the law has good reason to differentiate between them. (shrink)