We show that Σ3-absoluteness under Sacks forcing is equivalent to the Sacks measurability of every ∆2 set of reals. We also show that Sacks forcing is the weakest forcing notion among all of the preorders which always add a new real with respect to Σ3 forcing absoluteness.

Mahajan K, et al. BMJ Case Rep 2017. doi:10.1136/bcr-2017-219217 Description A 30 year-old woman presented with an episode of transient ischaemic attack (TIA). She had a history of four consecutive first trimester abortions over the past 5 years and had no live issues. A physical examination revealed livedo reticularis on her palms and feet (figure 1). On cardiac auscultation, a pansystolic mur...

Many types of dynamic system can be modelled using ordinary differential equations . Recently, there has been much interest in the A.I . community in reasoning about adynamic system by reasoning from this underlying differential equation model. Current approaches fall on a spectrum ranging from numerical (Yip 87, Yip 88], interval [Berleant & Kuipers 88, Davis 87b] through qualitative [Forbus 8...

In this thesis, we effectively construct a predecessor function for the type definitions in the raw hierarchy for any weakly-scattered theory. Using this predecessor function, we improve a recent bounding result by Sacks for weakly-scattered theories by removing the assumption of a predecessor function from the k-splitting hypothesis. We begin by giving an introduction to the infinitary logic C...

Abstract This essay discusses the brief but extensive correspondence Soviet neuro-psychologist Alexander Luria exchanged with his younger American colleague Oliver Sacks between 1973 and 1977, year died. Sacks, whose case histories went on to become mainstream bestsellers, always expressed indebtedness Luria, warm detailed approach writing about patients’ peculiar sometimes distressing neurolog...