Ironically, one of the better-known examples of a proof that isn’t constructive is Brouwer’s proof of his own fixed point theorem, which states that every continuous function on the unit disk has a fixed point. The proof is by contradiction and does not give any information on the location of the fixed point.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google photo

You are commenting using your Google account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s