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Living together theme
A consensus is a common agreement (stated or implicit) reached by all the members of a group, that can enable the community to make a decision without voting. Although a consensus means unanimous agreement (or rather the absence of any opposition), the way it's been used of late has rather made it come to mean the feeling of a strong majority. Using consensual decisions highlights the validity of everyone's opinion and the idea that no choice could be made without everybody assenting to it.
In Direct democracy, reaching a consensus is often better than an absolute majority based vote. If this type of voting respects the opinion of the majority, the minority may well be opposed to the decision. Using consensus means everybody's voice is heard, this avoids tensions and potential future splits within the group.