A titanium sword is not necessarily stronger than a steel sword in terms of hardness or toughness. Both titanium and steel have their own unique properties that make them suitable for different applications.

Steel is known for its excellent combination of strength, hardness, and toughness, which are essential characteristics for a sword. Different types of steel can be chosen and heat-treated to optimize these properties for specific sword designs and purposes. Steel swords have a long history of being used in warfare, martial arts, and historical contexts due to their reliable performance and durability.

On the other hand, titanium is a lightweight and corrosion-resistant metal with good strength-to-weight ratio. While titanium offers advantages in terms of weight reduction and corrosion resistance, it is generally not as hard or as tough as steel. Titanium swords are less common than steel swords due to the challenges associated with shaping and working with titanium. Titanium is more difficult to forge and has lower wear resistance compared to steel.

In summary, while titanium has its own strengths and advantages in certain applications, steel swords are generally preferred for their combination of hardness, toughness, and overall performance. Steel has a long-standing tradition and proven track record in sword-making due to its superior properties for cutting, thrusting, and withstanding the rigors of combat.