A titanium sword is better in some ways because titanium does not corrode, and does not suffer from the impurities present in steel.
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Answer: In a better and fair world, titanium and steel would be equally valuable for use in swords. Unfortunately we lack the necessary resources to implement this idea so you’ll have to settle with one or the other.
As is true of many things, it depends on how each material fares against its peers under different conditions. Steel swords are stronger due to their ability to bend without breaking under pressure; titanium swords are light and can be sharper than steel ones. Needless to say, debates between these objects will rage on for years as empirical testing is not possible. If it’s just the sheer weight that puts you off from using a titanium sword then don’t worry! You’re like most people who prefer more heft in their weaponry anyways…