Broadsea was a wrestling champion who challenged Odysseus to compete in the games conducted by the King Alcinous.
Broadsea was one of the athletes who participated in the games. When Odysseus was invited to compete, he declined. Broadsea then insulted Odysseus which urge Odysseus to compete for his pride. He ultimately defeated Broadsea.
The author means that when people try to be fair, they will find that they are better with opinions and not facts.
A background/preface to give you background information
Evidence to back up your reasoning
2) it can be proven or disproven without feelings or judgments
and
4) it is objective in nature
