[quote quote=“razoredgeknives” post=19760]
But for all intents and purposes when you lower the apex angle (as long as you have a true burr free apex) then it will feel much sharper when cutting through any given medium…no?[/quote]
It may cut better, it depends on what and how you are cutting, but that isn’t really what you take sharpness to mean. I can prove that to you with a few simple questions.
Lets say you looked at me and I was cleaning some pine pitch off of a blade and you asked what I was doing and I said I was sharpening it would you agree with me? It is likely you would not, but what about if I said “Well the knife will cut wood much better with the pine pitch off of it so therefore it is sharper.” Just like for example if I modified the handle so I had better control it would also allow me to cut deeper/easier but again would you agree that I sharpened the blade by doing that?
The actual meaning most people think about is actually the same as the actual definition in the literature, most people just have a hard time putting what they think into words. But that isn’t just about sharpness it is a problem with trying to go from how we think about things to some kind of rigid definition because we don’t actually think in those terms.
If I gave you a knife where the apex was rounded and you could easily move your finger up and down it you would likely call it dull. If I showed you that it could cut a carrot much better than a big bowie which was razor sharp you would not accept that the bowie was not in fact sharper you would likely say something like “well even a dull knife could cut a carrot”.
Here is the most simple illustration :
-grind an edge at 25 dps to the highest standard of sharpness you can achieve
-grind an edge at 10 dps to the highest standard of sharpness you can achieve, now make one cut right into a 1000 grit stone
Which edge is sharper, everyone will jump and say the first one.
Sharpness is a property of the apex, specifically a sharper blade produces a higher contact pressure at a given force. To look at it mechanically, when you cut there are a number of forces you have to over come :
-frictional losses
-direct mechanical losses (you have to compress or move some material)
-rupture (you have to break the material)
The last one is what sharpness controls. That is the technical term, but that is really what everyone means, the problem is when they try to make a definition they end up saying something that they don’t really mean. But again this is actually really hard to do. If you want to see how hard then try to define a game. It is pretty easy to keep listing things which are games but don’t fall into your definition. This problem is so hard because we don’t think the way we talk, if you try to talk the way we think it gets much easier.