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<p>Hi,</p>
<p>I'm by no means an expert, but it seems to me that this
"computational emptyness" of absurd is just corresponding to the
fact that in constructive logic, you can't have proof by
contradiction, only proof of negation. That is, at the end absurd
will always prove a negation. It has type _|_ -> A for some A.
You will never be able to construct an A with absurd, only ever
its negation.</p>
<p>Manuel<br>
</p>
<div class="moz-cite-prefix">On 28.08.20 15:11, David Banas wrote:<br>
</div>
<blockquote type="cite"
cite="mid:CADz=fO2A8gX0WikLvyp3XVx2zxxsRWERzCkCK_M1SavMPQczgA@mail.gmail.com">
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<div dir="ltr">Hi all,<br>
<div><br>
</div>
<div>I'm brand new to Agda and the Curry-Howard isomorphism (and
really loving this new exploration of both!), and I have a <i>philosophical</i>
objection to how the <font face="monospace"><b>absurd</b></font>
function is used to generate whatever we need to complete a
proof.</div>
<div><br>
</div>
<div>I understand how we are able to satisfy the Agda compiler
with the definition of <font face="monospace"><b>absurd</b></font>;
my objection isn't mechanical/technical.</div>
<div><br>
</div>
<div>What bothers me is a feeling that I'm "cheating" when I use
this function that can never be called, in order to "produce"
that which I need to complete my proof.</div>
<div><br>
</div>
<div>I wonder if someone could offer a different perspective on
this, for consideration.</div>
<div><br>
</div>
<div>Thanks!</div>
<div>-db</div>
<div><br>
</div>
</div>
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