The Mathematics of Knowledge Sharing
If you have 2 apples and I give you 2 more, how many apples do you have?
Our schoolteachers bothered us with puzzles like this one throughout our childhood. They sought to teach us arithmetic, in most cases successfully we presume. Indeed, the correct answer is 4 : 2 plus 2 equals 4. As children we are taught that this simple mathematical equation is true. And for good reason, insight into the behaviour of numbers is an indispensable tool in our complex world where we continuously need to make calculations. How much money do I have in my pocket? Can I afford to buy this house? Is this bill correct? At what time will the train arrive? And so on. By the time we are twelve years old, most of us have mastered the rules of addition, subtraction, multiplication and division. Thus:
2+2=4
2×2=4
4-2=2
2/2=1
The power of mathematics lies in its abstract nature and the resulting broad applicability. The above equations are true at any time in any situation, no matter the subject matter. The mathematics used for calculating the number of apples you get, is also used in physics, economics, biology or any other science. If we 2 apples to 2 other apples we get 4 apples, if we add 2 pears to 2 other pears we get 4 pears. If we add 2 ideas to 2 other ideas we get 4 ideas. No matter what we add, subtract, multiply or divide, the laws of mathematics always apply.
Or do they?
If we have 4 ideas, and I give you 2, how many ideas do I have left? Two, the mathematician would answer. Four minus two equals two. But is this really true? Do you really lose your ideas – or your knowledge – when you give them to someone else? Or do you simply keep the ideas that you just have given? Do the iron rules of mathematics apply here? Does 4-2=2 hold, or should we perhaps say:
4-2=4
By the same token, if I have 4 lessons learned and I share them with 4 other people, do we end up with one lesson learned? Or do we all have 4? Again, does 4/4=1 hold or should we say:
4/4=4
Or perhaps even:
4/4=16
Since now 4 people all have access to 4 lessons learned, this lead to the astonishing result that:
4/4=4×4
Could we therefore conclude that, when talking about knowledge, to share is to multiply?
True, isn’t it?
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