Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Consistent Sets Yield Contrary Inferences in Quantum Theory   In the consistent histories formulation of quantum theory, the probabilistic
predictions and retrodictions made from observed data depend on the choice of a
consistent set. We show that this freedom allows the formalism to retrodict
contrary propositions which correspond to orthogonal commuting projections and
which each have probability one. We also show that the formalism makes contrary
probability one predictions when applied to Gell-Mann and Hartle's generalised
time-neutral quantum mechanics.

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The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
2
The categories of this paper are: math
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys