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 />
Questions<br />
1 What holds in these intuitionistic <strong>model</strong>s? Which one is<br />
“better”?<br />
2 Jeremy Avigad and his student Henry Townser have used the<br />
classical <strong>model</strong> <strong>for</strong> proof-mining purposes. Is a direct<br />
functional interpretation of the language of <strong>non</strong>-<strong>standard</strong><br />
<strong>arithmetic</strong> possible?<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>
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