An intransigent person is stubborn; thus, they refuse to change their ideas or behavior, often in a way that seems unreasonable.
Someone who behaves in a prodigal way spends a lot of money and/or time carelessly and wastefully with no concern for the future.
If you describe something as ambiguous, you mean that it is unclear or confusing because it can be understood in multiple ways.
If you mitigate something that causes harm, you reduce the harmful or painful effects of it.
When you castigate someone, you criticize or punish them severely.
An exiguous amount of something is meager, small, or limited in nature.
When you litigate, you go before a court in order to bring forth a lawsuit or voice another serious concern you have.
When you allege that someone has done something, you claim or assert that they have done it without showing any proof.
When you navigate, you find or steer your way from one place to another.
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