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Ur Ya'ar<p>&quot;For those who have not succumbed to the fatal allure of iterated ultrapowers...&quot;<br />- Silver, Some applications of model theory in set theory</p><p><a href="https://mathstodon.xyz/tags/MathQuote" class="mention hashtag" rel="tag">#<span>MathQuote</span></a> <a href="https://mathstodon.xyz/tags/ultrapowers" class="mention hashtag" rel="tag">#<span>ultrapowers</span></a></p>
Ur Ya'ar<p>&quot;Infinite pictures are more difficult to draw than finite pictures&quot;<br />- Enderton, Elements of set theory.</p><p><a href="https://mathstodon.xyz/tags/MathQuote" class="mention hashtag" rel="tag">#<span>MathQuote</span></a> <a href="https://mathstodon.xyz/tags/infinity" class="mention hashtag" rel="tag">#<span>infinity</span></a></p>
Ur Ya'ar<p>&quot;We have been studying mice in the abstract, but we have yet to produce any! In this section we shall describe a certain family of mouse constructions which we call, for obscure reasons, 𝐾ᶜ-constructions.&quot;</p><p>− Steel, An outline of inner model theory</p><p><a href="https://mathstodon.xyz/tags/MathQuote" class="mention hashtag" rel="tag">#<span>MathQuote</span></a> <a href="https://mathstodon.xyz/tags/SetTheory" class="mention hashtag" rel="tag">#<span>SetTheory</span></a> <a href="https://mathstodon.xyz/tags/mice" class="mention hashtag" rel="tag">#<span>mice</span></a> <a href="https://mathstodon.xyz/tags/InnerModels" class="mention hashtag" rel="tag">#<span>InnerModels</span></a></p>
Ur Ya'ar<p>Math quote of the day:</p><p>&quot;In this section (waving our hands even harder) we extend the previous construction...&quot;</p><p>- Uri Abraham and Saharon Shelah, A Δ²₂ well-order of the reals and incompactness of L(𝑄ᴹᴹ) </p><p><a href="https://mathstodon.xyz/tags/mathquote" class="mention hashtag" rel="tag">#<span>mathquote</span></a> <a href="https://mathstodon.xyz/tags/SetTheory" class="mention hashtag" rel="tag">#<span>SetTheory</span></a> <a href="https://mathstodon.xyz/tags/handwaving" class="mention hashtag" rel="tag">#<span>handwaving</span></a></p>