By Thomas Simpson
Read or Download A treatise of algebra: Wherein the principles are demonstrated and applied ... To which is added, the geometrical construction of a great number of linear ... the method of resolving the same numerically PDF
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Extra info for A treatise of algebra: Wherein the principles are demonstrated and applied ... To which is added, the geometrical construction of a great number of linear ... the method of resolving the same numerically
Because of the numerous discrepancies between this translation and the original - pointed out among others by J. Honner, 'The Transcendental Philosophy of Niels Bohr', Studies in History and Philosophy of Science 13 (1982), 1-29 - quotations will henceforth be taken from the German edition. 20 N. ' cit. n. 19, 73. , 74. 22 Ibid. 23 Bohr is referring to the article on the quantum theory of the hydrogen atom ('On the Constitution of Atoms and Molecules') published in the Philosophical Magazine in 1913; see below, chs.
On the one hand, it would represent thefirstattempt to formulate a consistent theory of the constitution of the atom capable of explaining much of the experimental data available and of deducing empirical laws concerning the spectra of the elements. On the other, it would mark a decisive advance for quantum-theoretical conceptions by establishing their high level of generality. However, as we shall see, on neither of these points did the trilogy lead to the establishment of a new paradigm, raising as it did far more 36 2 Atomic model and quantum hypotheses 37 problems than it actually solved.
Heisenberg, 'Atomforschung und Kausalgesetz', in W. Heisenberg, Schritte u'ber Grenzen, Munchen: Piper, 1971, 128-41. 49 Cf. for example J. Hendry, The Creation of Quantum Mechanics and the Bohr-Pauli Dialogue, Dordrecht: Reidel, 1984, esp. ch. IV. 50 As Pauli wrote to Bohr: 'The atomic physicists in Germany today fall into two groups. The one calculate a given problem first with half-integral values of the quantum numbers, and if it doesn't agree with experiment they then do it with integral quantum numbers.