Why does a sharp knife matter?
Because a sharp knife is safer, faster and produces better food — and the safety point is the one that surprises people, since a blunt knife is the more dangerous tool.
Why blunt is dangerous. A sharp edge bites where you place it. A blunt one slides off curved or slippery surfaces — a tomato skin, an onion, a chicken breast — and requires more force, so when it slips it is moving with momentum towards your hand. Most domestic knife injuries involve a blunt knife slipping, not a sharp one cutting cleanly.
Why it affects the food:
Cleaner cell damage. A sharp blade severs cells; a blunt one crushes them, releasing juices and enzymes. This is why a blunt knife makes you cry more with onions, bruises herbs into a dull mush, and turns tomatoes to pulp.
Even cooking, since uneven pieces cook unevenly.
Presentation, notably in anything sliced thin.
What "sharp" actually means. Two separate things:
The edge geometry — the angle ground into the blade. Thinner angles cut better and chip more easily; European knives are traditionally ground steeper than Japanese ones.
The alignment of the edge. A very thin edge rolls over microscopically with use. This is what a honing steel fixes — it realigns the edge, it does not remove metal, and it is not sharpening. Honing frequently, sharpening occasionally, is the correct pattern.
Sharpening removes metal to form a new edge, by whetstone, pull-through, or professional service. Pull-through sharpeners are convenient and remove more metal than necessary.
What blunts a knife fastest: glass, stone and ceramic boards, which are considerably harder than the steel; the dishwasher, through heat, detergent and knocking; storing loose in a drawer; and scraping the board with the edge rather than the spine.
The single best test: a sharp knife cuts a sheet of paper cleanly, without tearing. If it will not, it needs attention.
One good sharp knife outperforms a block of blunt ones.