A remark on equivalent Rosser sentences

A remark on equivalent Rosser sentences

An oversight in Guaspari and Solovay’s “Rosser sentences” (1979, Ann. Math. Log., 16, 81) is pointed out and emended. It concerns the premisses of their proof that there are standard proof predicates all of whose Rosser sentences are provably equivalent. The result holds up, but the premisses mentioned in the paper have to be strengthened somewhat.

Arithmetic analogues of McAloon's unique Rosser sentences

A Remark on a Remark by Macaulay or Enhancing Lazard Structural Theorem

A Remark on Non-equivalent Star Products via Reduction for CPn

In this paper we construct non-equivalent star products on CP by phase space reduction. It turns out that the non-equivalent star products occur very natural in the context of phase space reduction by deforming the momentum map of the U(1)-action on C \ {0} into a quantum momentum map and the corresponding momentum value into a quantum momentum value such that the level set, i. e. the ‘constrai...

Remark on a Reply

1.1 In their original PNAS article Macy and Sato (2002) make it clear that their main point concerns social mobility (see, for instance, the abstract and the last section). Their central claim is the non-monotonic effect of mobility: with moderate mobility, they maintain, trust can be established; with too much mobility, trust and trustworthiness are undermined — and therefore their "warning fl...