="math inline">\(\forall\)</span> and <span class="math inline">\(\exists\)</span>. If <span class="math inline">\(P(x)\)</span> is a statement about an object <span class="math inline">\(x\)</span>, then</p>
<div class="quote">
<p><span class="math inline">\(\forall x\,P(x)\)</span> means “for all <span class="math inline">\(x\)</span>, <span class="math inline">\(P(x)\)</span>,”</p>
</div>
<p>and</p>
<div class="quote">
<p><span class="math inline">\(\exists x\,P(x)\)</span> means “there exists some