Gleason's theorem states that any totally additive measure on the closed subspaces, or projections, of a Hilbert space of dimension greater than two is given by a positive operator of trace class. In this paper we give a constructive proof of that theorem.
A Constructive Proof of a Theorem in Relevance Logic
β Scribed by Aleksandar Kron
- Publisher
- John Wiley and Sons
- Year
- 1985
- Tongue
- English
- Weight
- 461 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0044-3050
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β¦ Synopsis
In this paper we investigate a propositional systeni L related t o T,-W of relevance logic. It has been conjectured that for any formulas A and B
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## Abstract A version of Birkhoff's theorem is proved by constructive, predicative, methods. The version we prove has two conditions more than the classical one. First, the class considered is assumed to contain a generic family, which is defined to be a setβindexed family of algebras such that if
Sane copiosam tu et uberem messem ex hoc agro collegisti, nos pauculas spicas contemptas tibi potius quam non visas. Triumphus igutur hic omnis tuus est: mihi abunde satis si armillis aut hasta donatus, sequar hunc candidae famae tuae currum. wJustus Lipsius In this paper we prove that, except fo