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The Problem of Hidden Variables in Quantum Mechanics
- S. Kochen, E. Specker
- Physics
- 1967
Forty years after the advent of quantum mechanics the problem of hidden variables, that is, the possibility of imbedding quantum theory into a classical theory, remains a controversial and obscure…
The Free Will Theorem
On the basis of three physical axioms, we prove that if the choice of a particular type of spin 1 experiment is not a function of the information accessible to the experimenters, then its outcome is…
The Strong Free Will Theorem
We strengthen "The Free Will Theorem" [1] in several ways, by replacing the axiom FIN by a weaker axiom MIN, and also by allowing the particles' responses to depend on past half-spaces rather than on…
A note on the Borel-Cantelli lemma
- S. Kochen, Charles Stone
- Mathematics
- 1 June 1964
It is often desirable to find the probability that for a given sequence E, E, of events n infinite number of E occur. If the E re independent events, then by the Borel-Cntelli lemma this probability…
Logical Structures Arising in Quantum Theory
- S. Kochen, E. Specker
- Mathematics
- 1990
The logical structures studied in this paper are generalizations of the propositional calculus. The classical propositional calculus is essentially Boolean algebra or, alternatively, the theory of…
A Reconstruction of Quantum Mechanics
- S. Kochen
- PhysicsSynthese Library
- 17 June 2013
We show that exactly the same intuitively plausible definitions of state, observable, symmetry, dynamics, and compound systems of the classical Boolean structure of intrinsic properties of systems…
Diophantine Problems Over Local Fields: III. Decidable Fields
In [3] we gave a complete set of elementary axioms for the valued field of p-adic numbers. In this paper we show how the valued field F((t)) of formal power series over a field F (of characteristic…
Ultraproducts in the Theory of Models
- S. Kochen
- Mathematics
- 1 September 1961
In this paper we shall study an algebraic construction which has become a powerful new tool in the theory of models.1 This construction, called the ultraproduct operation', was first described in Los…
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