Hostname: page-component-7479d7b7d-wxhwt Total loading time: 0 Render date: 2024-07-11T04:38:13.888Z Has data issue: false hasContentIssue false
  • English
  • Français

Old Quantum Theory: A Paraconsistent Approach

Published online by Cambridge University Press:  19 June 2023

Bryson Brown
Bryson Brown*
Affiliation:
The University of Lethbridge
Get access Rights & Permissions [Opens in a new window]

Extract

Just what form(s) our cognitive attitudes towards scientific theories take, and what forms they should take, is a long-standing puzzle in philosophy of science. Debates continue, between various realist and anti-realist positions, probabilistic models, and others. The nature of cognitive commitment becomes particularly puzzling when scientists’ commitments are (at least apparently) inconsistent. Since there are no models of inconsistent sets of sentences, straightforward semantic accounts fail. And syntactic accounts based on classical logic also collapse, since the closure of any inconsistent set under classical logic includes every sentence.

Type
Part XII. Logical Inconsistency in Scientific Theories
Information
PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association , Volume 1992 , Issue 2: Volume Two: Symposia and Invited Papers 1992 , 1993 , pp. 396 - 411
Copyright
Copyright © 1993 by the Philosophy of Science Association

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

1

I am grateful to the Social Sciences and Humanities Research Council of Canada (grant 410-92-0674) and to the Center for Philosophy of Science at the University of Pittsburgh (1990-91) for their support.

References

Apostoli, P. and Brown, B., “A Solution to the Completeness Problem for ParaNormal Modal Logic”, unpublished ms.Google Scholar
Belnap, , (1977), “How a Computer Should Think” in G.Ryle (ed.), Contemporary Aspects of Philosophy, Boston: Oriel Press, pp. 30-56.Google Scholar
Bohr, N. (1913), “On the Constitution of Atoms and Molecules”, Philosophical Magazine, (6) 26: 1-25.CrossRefGoogle Scholar
Bohr, N. (1922), The Theory of Spectra and Atomic Constitution. Cambridge : Cambridge University Press.Google Scholar
Bohr, N. Kramers, H.A., and Slater, J. C. (1924), “The Quantum Theory of Radiation ”, Philosophical Magazine, (6) 47: 785-802. Reprinted in van der Waerden (1967), pp. 159-176.Google Scholar
Einstein, A. and de Haas, W.J. (1915), “Experimenteller Nachweis der Ampereschen Molekularstrome, Verhandlugen der Deutschen Physikalischen Gesellschaft (2) 17: 152-70.Google Scholar
Ehrenfest, P. (1917), “Adiabatic Invariants and the Theory of Quanta”, Philosophical Magazine, 33: 500-513, reprinted in van der Waerden (1968), pp. 79-93.Google Scholar
Hacking, I.(1983), Representing and Intervening, Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Kronig, R., and Weisskopf, eds.(1964), Collected Scientific Papers. New York-London-Sydney: Interscience Publishers, pp. 269-548.CrossRefGoogle Scholar
Pauli, W. (1926), “Quantentheorie”, in Geiger, H., and Scheel, K., Handbuch der Physik, Vol. 23, Part 1, pp. 1-278; reprinted in Kronig, R., and Weisskopf, eds. (1964).Google Scholar
Priest, G. (1988), Beyond Consistency. Munchen, Hamden, Wien : Philosophia Verlag.Google Scholar
Priest, G. (1988), Beyond Consistency. Munchen, Harnden, Wien: Philosophia Verlag.Google Scholar
Priest, , Routley and Norman (eds.) (1989), Paraconsistent Logic : Essays on the Inconsistent, Munchen, Harnden, Wien: Philosophia Verlag.Google Scholar
Rescher, N. and Brandom, R. (1980), The Logic of Inconsistency, Oxford: Basil Blackwell.Google Scholar
Rosenfeld, and Hoyer, , eds. (1981), Niels Bohr: Collected Works 2. Amsterdam :North Holland Publishing Co.Google Scholar
Rozental, S. (ed.), (1967), Neils Bohr. New York, John Wiley and Sons.Google Scholar
Schotch, P. K. and Jennings, R. E. (1980), “Inference and Necessity”, Journal of Philosophical Logic, 9: 327-340.CrossRefGoogle Scholar
Schotch, P. K. and Jennings, R. E. (1989), “On Detonating”, in Priest, Routley and Norman (eds.) pp. 306-327.Google Scholar
van der Waerden, B.L. (ed.) (1968), Sources of Quantum Mechanics, New York: Dover.Google Scholar
van Fraassen, B.C. (1980), The Scientific Image. Oxford: Claredon.CrossRefGoogle Scholar
van Vleck, J.H., (1924), “The absorption of radiation by multiply periodic orbits, Part I: Some extensions of the Correspondence Principle” Physical Review 24: 330-365, reprinted in van der Waerden (1968), pp. 203-222.Google Scholar