By Peter Kropotkin
Kropotkin's Memoirs is an autobiographical account of his existence as a social innovative. His formal paintings as a zoologist and geographer takes a backseat to his demand radical social reform within the guise of anarchist communism. His adventure-filled existence is palpable in those pages, together with wonderful feats like escaping from legal on the Peter and Paul fort.
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Kropotkin's Memoirs is an autobiographical account of his lifestyles as a social progressive. His formal paintings as a zoologist and geographer takes a backseat to his demand radical social reform within the guise of anarchist communism. His adventure-filled lifestyles is palpable in those pages, together with remarkable feats like escaping from felony on the Peter and Paul castle.
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Additional info for Memoirs of a Revolutionist
On this view (which is a common way of making sense of the ‘Copenhagen interpretation’ of quantum physics, though it does not seem to have been Niels Bohr’s own view11 ), it does not make sense to describe a microscopic system except in a certain experimental context; nonetheless, a microscopic description given in such a context is still to be understood realistically. (For a recent example of such a view, see Bub and Pitowsky (2010), who explicitly describe the idea that measurement cannot be primitive as one of two ‘dogmas’ of quantum mechanics,12 but still describe their Einstein’s proposal of a hidden-variable theory which would be to the wavefunction what classical mechanics is to the probability distributions of statistical mechanics.
2. We require i Qi = 1, so that probabilities always sum to 1. POVMs have two main technical advantages over PVMs: they can represent imprecise measurements, and they can represent joint measurements. For instance, standard quantum mechanics uses PVMs to represent measurements of position: the relevant projectors are projections of the wavefunction onto regions of configuration space. But this requires us to idealize measurements as having infinitely sharp boundaries, and provides no way to represent approximate joint measurements of position and 4 For technical discussion of POVMs, see any of the quantum information references in n.
If, from such a description, we can further distill a model of a free-standing ‘reality’ independent of our interventions, then so much the better. Classical physics is the ultimate example of such a model. However, there is no logical necessity for a realistic worldview to always be obtainable. If the world is such that we can never identify a reality independent of our experimental activity, then we must be prepared for that, too. . [Q]uantum theory does not describe physical reality. What it does is provide an algorithm for computing probabilities for the macroscopic events (‘detector clicks’) that are the consequences of our experimental interventions.
Memoirs of a Revolutionist by Peter Kropotkin