My interpretation...
Knowledge = knowing how those facts relate and the principles behind the relations (cake is yummy because it's sweet)
Understanding = comprehension of how different principles relate to and influence each other, cause and effect (sweetness is determined by the proper balance of ingredients and properly putting them together in the right order)
Wisdom = Novel inferences that present themselves to those who have an intimate understanding of a subject and how it relates to other subjects. (cake is a good way to make friends because most people love cake.. ha)
To me this is more done in the realm of the subconscious and manifests itself via intuition.
As relates to the making an omelet example...
Story: The first lesson I can share with you when it comes to cooking an omelet is that the recipe will not make everything crystal clear... you will make mistakes and need to learn from them. Some of these mistakes can be avoided by research, some you'll find by trial and error. For example, my first attempt ended with my omelet being filled with egg shells. YUCK! Let me tell you, that was a nasty omelet! You see, the recipe didn't specify to crack the eggs and separate the shell! Don't forget, not everything is spelled out perfectly in the recipe.
Data is the information that an egg can be cracked.
Knowledge is knowing an egg should be cracked and emptied before cooking.
Understanding is understanding how the egg effects the taste of a plate.
Wisdom is deducing that there are often missing steps in a recipe to watch out for.
In a Zettelkasten â if done correctly â there will emerge layers of evidence. These layers represent the necessary processing steps from data to knowledge.