Tsang and Caves suggested the idea of a quantum-mechanics-free subsystem in 2012. We contend that Sudarshan’s viewpoint on Koopman-von Neumann mechanics is realized in the quantum-mechanics-free subsystem. Since quantum-mechanics-free subsystems are being experimentally realized, Koopman-von Neumann mechanics is essentially transformed into an engineering science.

In this paper, we give an axiomatization of the ordinal number system, in the style of Dedekind’s axiomatization of the natural number system. The latter is based on a structure $(N,0,s)$ consisting of a set N, a distinguished element $0\in N$ and a function $s\colon N\to N$. The structure in our axiomatization is a triple $(O,L,s)$, where O is a class, L is a class function defined on all s-closed ‘subsets’ of O, and s is a class function $s\colon O\to (...) O$. In fact, we develop the theory relative to a Grothendieck-style universe (minus the power set axiom), as a way of bringing the natural and the ordinal cases under one framework. We also establish a universal property for the ordinal number system, analogous to the well-known universal property for the natural number system. (shrink)

Philosophy after Hiroshima offers a philosophical analysis of the issues surrounding war and peace, and their challenges to ethics. It reminds us that the threat posed to civilization by nuclear weapons persists, as does the need for continuing philosophical reflection on the nature of war, the problem of violence, and the need for a workable ethics in the nuclear age. The book recalls the atomic bombings of Hiroshima and Nagasaki as the beginning of the nuclear age, the Cold War, and (...) subsequently of the hegemonic unilateralism of the sole superpower. Reviewing early critical responses to the first atomic bombings by such figures as Camus, Sartre, Russell, Heidegger, Jaspers and others, the authors themselves respond to contemporary threats to peace, including the US "global war on terrorism," the recrudescence of militarism, and the continuation of imperial power politics by other means. In the nuclear age, the use of military force as a political instrument threatens the future of humanity. This poses formidable challenges to philosophy and calls for its transformation. In using memories of the atomic bombings to help us to grasp the moral implications of the current escalation of global violence, the authors hope to show the urgent relevance of nonviolence in the contemporary context. Drawing on a range of philosophical traditions Taoist and Western the contributors take up a welter of philosophical and political concerns of topical interest, including human rights, toleration, the politics of memory, intercultural dialogue, the ethics of co-responsibility, and the possibility of a cosmopolitan order of law and peace. Going beyond postmodernism and deconstruction, several of the authors develop a post-critical, constructive paradigm of thinking a philosophy of the possible and a new methodology for the realization of the creative potential of the humanities. Philosophy is viewed as a peace-promoting global dialogue. (shrink)

The author pays attention to the contemporary culture’s two challenges: 1) differentiation; 2) general acceleration. Extrapolation → inevitable impotence of an individual to understand Other/himself. The author’s concept “strictio intervallorum constantiae” expresses the catastrophic accelerated tightening of the temporal distance from the past which has already become obsolete in the essential life relations, indistinct, strange… Two revolutions in time’s feeling: 1) christianization → time’s linearity; 2) strictio intervallorum constantiae → the new experience of time. An extrapolation of the contemporary principial (...) trend of an informationdinamics leads to inevitable impotence of an individual to understand neither Other, neither himself! (shrink)