Let’s say I come up with a hypothesis – I think they an even number multiplied by another number will always result in an even number.
How do I prove it?
I could easily write a computer program to multiple every even number between 2 and 1000 with every other number in that same range and confirm my idea, but does this rule still hold true at number 1002 or 10000002?
You might think – well it’s obvious. Unfortunately it’s not, these hypotheses often fail in certain cases.
We could have computers searching huge spaces of millions of numbers to check if this rule holds true, but that will never PROVE that it holds true for every possible number.
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