On a forcing model for non-standard arithmetic
On a forcing model for non-standard arithmetic
On a forcing model for non-standard arithmetic
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Sheaf semantics A <strong>non</strong>-principal ultrafilter A <strong><strong>for</strong>cing</strong> <strong>model</strong> <strong>for</strong> <strong>non</strong>-<strong>standard</strong> <strong>arithmetic</strong> Open questions<br />
The work of Krivine<br />
In his (unpublished) paper<br />
Structures de réalisabilité, RAM et ultrafiltre sur N,<br />
Krivine constructs a <strong><strong>for</strong>cing</strong> <strong>model</strong> in which there exists an<br />
(explicit) <strong>non</strong>-principal ultrafilter on the natural numbers.<br />
How does this work?<br />
Benno van den Berg, TU Darmstadt, Germany <strong>On</strong> a <strong><strong>for</strong>cing</strong> <strong>model</strong> <strong>for</strong> <strong>non</strong>-<strong>standard</strong> <strong>arithmetic</strong>