Peanos Parlour

From Peanos Parlour. This site is dedicated to open problems in nonstandard models of Peano Arithmetic and related theories. As in most areas of mathematics, we do not suffer from a shortage of open problems. The problems are arranged by topics. Cuts in models of PA and independence results. Recursively saturated, resplendent models, and saturated models. Standard systems and the Scott set problem. Lattices of elementary substructures. Uncountable models with interesting second-order properties.

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Booles Rings

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Cantors Attic

Descent into History photo by Ernie Reyes. We aim to provide a comprehensive resource of information about all notions of mathematical infinity. The upper attic is the realm of large cardinals and the higher infinite, extending from inaccessibility to inconsistency. The lower attic classifies various large countable ordinals.

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Peanos Parlour

DESCRIPTION

From Peanos Parlour. This site is dedicated to open problems in nonstandard models of Peano Arithmetic and related theories. As in most areas of mathematics, we do not suffer from a shortage of open problems. The problems are arranged by topics. Cuts in models of PA and independence results. Recursively saturated, resplendent models, and saturated models. Standard systems and the Scott set problem. Lattices of elementary substructures. Uncountable models with interesting second-order properties.

CONTENT

This site has the following on the site, "This site is dedicated to open problems in nonstandard models of Peano Arithmetic and related theories." We noticed that the web page also said " As in most areas of mathematics, we do not suffer from a shortage of open problems." It also stated " The problems are arranged by topics. Cuts in models of PA and independence results. Recursively saturated, resplendent models, and saturated models. Standard systems and the Scott set problem. Uncountable models with interesting second-order properties."

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