Braeburn during commercial long term storage, and it’s usually not possible to tell if an apple has the Braeburn browning disorder until a person bites or cuts into it. Apples respond dramatically to both temperature and atmosphere modification. Rapid temperature reduction and the exacting maintenance of low temperature close to the chilling point of the variety can provide good to medium quality product following 3 to 6 mo of storage and in some cases longer. However, modern commercial warehouses couple temperature management with controlled atmosphere (CA) for long-term storage of apples. Braeburn can be stored at 0 °C in air for
History of type theory History of type theory The type theory was initially created to avoid paradoxes in a variety of formal logics and rewrite systems. Later, type theory referred to a class of formal systems, some of which can serve as alternatives to naive set theory as a foundation for all mathematics. It has been tied to formal mathematics since "Principia Mathematica" to today's proof assistants. In a letter to Gottlob Frege (1902) Russell announced his discovery of the paradox in Frege's Begriffsschrift. Frege promptly responded, acknowledging the problem and proposing a solution in a technical discussion of "levels". To quote Frege: Incidentally,