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Relativism as such has nothing to do with indifference to or a nonchalant attitude about beliefs. Relativism doesn't say that beliefs don't matter. It says, rather, that beliefs have a context and the believer should be keenly, carefully aware of that context. How and what we believe depends in part on the context in which we hold our beliefs. Culture shapes how we believe. History shapes how we believe. Our personal experiences powerfully impact how we believe. Our inherent (perhaps partly biological) tendency to be liberal or conservative in our thinking shapes how we believe. Interestingly enough, philosophy has a particularly strong impact on our beliefs. In an American Protestant context, the early church's experience with Greek philosophy continues to powerfully shape our understanding of God.
The choice we have to make about our contexts is the degree to which we ignore or acknowledge their influence over the ways we believe. Many American Christians choose to ignore that influence and reject the idea that human beliefs are relative. They seek to absolutize their beliefs. Fewer, but still a significant number of believers, embrace the fact that faith is dependent on many factors and is not absolute. Each choice is dangerous. The "true believers" are seriously in danger of confusing what they believe about God with God. The "relativists" are seriously in danger of losing sight of the importance of sharing their faith with others. The relativists are apt to put their candle under a bushel. The absolutists are liable to put their candle at the feet of something that is not God.
The middle way (via media) is to hold one's faith firmly, share it where appropriate, and understand that others can choose other faithful paths, which are spiritually viable but not our own. What we believe matters. Realizing that we are fallible in what we believe and that all human belief systems are relative also matters. Otherwise, we tend to confuse our beliefs with the One we believe in.