Voting paradoxes occur when the outcome of an election does not reflect the preferences of the majority of voters. One common example is the Condorcet Paradox, where a candidate preferred by a majority over each of the other candidates can still lose the election due to the way votes are aggregated. This can lead to situations where the collective choice is inconsistent with individual preferences. Another example is the Arrow's Impossibility Theorem, which states that no voting system can perfectly translate individual preferences into a collective decision while meeting certain fairness criteria. This highlights the complexities and potential flaws in democratic voting systems, raising questions about how best to represent the will of the people.