On the separation of regularity properties of the reals

We present a model where omega (1) is inaccessible by reals, Silver measurability holds for all sets but Miller and Lebesgue measurability fail for some sets. This contributes to a line of research started by Shelah in the 1980s and more recently continued by Schrittesser and Friedman (see [7]), regarding the separation of different notions of regularity properties of the real line

The role of fats in the transition to sustainable diets

In comparison with protein, dietary fat receives little attention in the food system sustainability literature, although we calculate that the average consumption of fats in many populous regions of the world is below nutritional recommendations. Animal products are the major source of dietary fat, particularly in regions with excess fat consumption. We estimate that an additional 45 Mt of dietary fat per year need to be produced and consumed for the global population to reach recommended levels of fat consumption, and we review different strategies to fill this gap sustainably. These strategies include diverting oils currently used for energy production to human consumption, increasing palm oil and peanut oil yields while avoiding further deforestation, developing sustainable cropping systems for the production of rapeseed and soybean oils, increasing the consumption of whole soybeans and derived products, and expanding the use of animal fats already produced