By Robert S. Cohen, J.J. Stachel
The determination to adopt this quantity was once made in 1971 at Lake Como throughout the Varenna summer time college ofthe Italian actual Society, the place Professor Leon Rosenfeld used to be lecturing at the historical past of quantum idea. We had lengthy been struck via the original mixture of epistemological, histori cal and social issues in his paintings at the foundations and improvement of physics, and determined to method him there with the assumption of publishing a suite of his papers. He replied enthusiastically, and agreed to aid us opt for the papers; additionally, he additionally agreed to write down a long creation and to remark individually on these papers that he felt wanted severe re-assessment within the mild of his present perspectives. For he used to be nonetheless vigorously engaged in either theoretical investigations of, and significant now not reflections at the foundations of theoretical physics. We definitely did conceive of the quantity as a memorial to a 'living saint', yet way more essentially, as a great tool to put within the palms of colleagues and scholars engaged in wrestling with those tricky difficulties. All too unfortunately, destiny has extra a memorial element to our labors. We agreed that during order to make this e-book Most worthy for the con transitority neighborhood of physicists and philosophers, we should always trans past due all non-English goods into English.
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Extra info for Selected Papers of Léon Rosenfeld
Example text
5 E. Mach, Die Geschichte und die Wurzel des Satzes von der Erhaltung der Arbeit, Prag 1872 (2. AuD. Leipzig 1909, p. ). 6 S. Meyer, Z. J5a: 407 (1950). 1 2 CHAPTER 3 THE LOGICAL PROBLEM OF THE DEFINITION OF IRRATIONAL NUMBERS [1927e] A legend records "that the author of the theory of incommensurables was swallowed up in a shipwreck. Thus heaven punished the one who had 'expressed the inexpressible, represented the unfigurable, unveiled that which should have remained forever hidden"'.! The discovery of the existence of irrational numbers by the Pythagorean school is, indeed, one of the most significant events in the history of mathematics, as well as an important event in the history of philosophy.
What we have just said allows us, at the same time, to transform the statement of the third condition which must be satisfied by series which can define real numbers; if P, Q are two such series, they must be ordinally similar in such a manner that the rational series they contain also correspond ordinally and that the limits of two corresponding cuts also correspond. At this point, it is easy to see that continuous series (in Cantor's sense) possess all the required properties. ) The result of our analysis is thus that any continuous series whatever can be defined as the series of real numbers.
When he comes to survey the mediaeval period, the author again misses a most interesting problem, just because he is too anxious to persuade us that no good can come out of the Church. He utterly fails to do justice to a very great XIVth century Churchman, Nicole Oresme, whose thought, emerging from the barbarous darkness of the times, exhibits distinctly modern features: an attempt at quantitative description of phenomena, a discussion of mechanical problems foreshadowing SCIENCE IN HISTORY II Galilei, truly Copernican speculations on the motion of the earth, and not least, a penetrating analysis of the nature and role of money (which Prof.