OK, I went back over the thread and re-read this. What's a wire edge anyway? It is the meeting point of the edge bevels on both sides of the blade. When you sharpen a blade of whatever thickness, you bring both sides of the blade to a point (which running the length of the blade is a line) of such minimal thickness that it can be bent by almost any light pressure.
Once I have sharpened a blade, I strop it on my shirt sleeve or pants leg, first a couple of licks on one side, and then on the other. Then I run my thumb, angling it away from the edge (I don't want to rub parallel or I'll get sliced!). On the side I stropped last, it feels smooth. On the other side, I feel a light friction.
In other words, the stropping has bent the very thin sharp edge over, and my thumb is rubbing against it standing away from the blade. THAT is the wire edge I need to break off. When I do, the edge left behind will be ALMOST as thin and sharp, but not so fragile.
How do I remove the wire edge? Quick & dirty, I take a ceramic rod and I strop the blade along it at about a 45 degree angle. (You don't need a rod, you can do it on the edge of any benchstone.) I test it the same way I did when I finished sharpening it -- strop it on a shirt sleeve. Repeat with slightly increased pressure stropping until the wire edge is gone.
Then I usually lightly polish the edge with a very hard stone to smooth the damage where the wire edge broke off.
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Do you know the difference between sharpening and stropping? We throw terms around without defining them for each new guy sometimes. Sharpening is working your blade edge first into the sharpening medium. Stropping is working your blade at a similar angle with the edge against the medium, but moving toward the back of the blade.
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What sources have you read about sharpening? We have a few listed that will each fill you in different aspects of what you might need to know.
EDC Knives Sharpening FAQ
http://www.edcknives.com/pdf-files/Sharpen_v2.pdf
Knife Maintenance and Sharpening
http://forums.egullet.com/index.php?showtopic=26036
Sharpening Made Easy
http://users.ameritech.net/knives/knives1c.htm
Convex Grind FAQ
http://home.nycap.rr.com/sosak/convex.htm
Sharpening the Ontario - Jerry Hossom
http://hossom.com/sharp/