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25 - Letters to Joseph Renes

Published online by Cambridge University Press:  05 October 2012

Christopher A. Fuchs
Affiliation:
University of Massachusetts, Boston
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Summary

June 2000, “References for Gleason”

Some relevant references. The important ones are Gleason's paper, Cooke et al.'s paper, and Pitowsky's paper.

  1. R. Cooke, M. Keane, and W. Moran, “An Elementary Proof of Gleason's Theorem,” Math. Proc. Camb. Phil. Soc.98, 117–128 (1981).

  2. A. M. Gleason, “Measures on the Closed Subspaces of a Hilbert Space,” J. Math. Mech.6, 885–894 (1957).

  3. I. Pitowsky, “George Boole's ‘Conditions of Possible Experience’ and the Quantum Puzzle,” Brit. J. Phil. Sci.45, 95–125 (1994).

  4. I. Pitowsky, “Infinite and Finite Gleason's Theorems and the Logic of Indeterminacy,” J. Math. Phys.39, 218–228 (1998).

  5. F. Richman and D. Bridges, “A Constructive Proof of Gleason's Theorem,” J. Func. Anal.162, 287–312 (1999).

December 2000, “New Ideas and Old Men”

Thanks for the new ideas. Let me try to make a few comments. I'm in a smoky hotel bar right now; I wonder how this is affecting my laptop's health? I know it's wreaking havoc on mine. I'm still in Vienna, by the way. I leave Tuesday morning. Unfortunately I haven't gotten an ounce written of what I had hoped to.

Renesism 1:This got me thinking about this stuff, and it seems that in some sense what we're gathering information about, when we make measurements, is the ability to predict future measurements.

You haven't read my paper with Kurt Jacobs yet, have you? [See quant-ph/0009101.] Come on, at least read the Introduction and Footnote 27.

Type
Chapter
Information
Coming of Age With Quantum Information
Notes on a Paulian Idea
, pp. 409 - 412
Publisher: Cambridge University Press
Print publication year: 2011

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