Gorgon Principle

The difficulty of the two steps of mathematical induction in the real world is the opposite of their difficulty in mathematics itself. That is, in the real world the initial step (‘base case’) is the difficult step and the induction step (i.e., continuation) is the easy step.
A couple of examples of this reversal in the real world:
1. For a car with manual shifting, it is first gear that is the most difficult to shift into smoothly.
2. Breaching a bulkhead of the Titanic was very difficult, but once it happened, the remaining bulkheads would be easily breached in turn. So, as soon as the captain found out that one of the bulkheads was breached, he knew that the ship was doomed.
I call this the ‘Gorgon Principle’. Using the Gorgon Principle as a template for the real world, we can say that creative work is the initial step, and business is the induction step.
keywords: flip-flop, processes

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closure and interior reference flip-flop
(reminder regarding topological terminology: boundary = closure minus interior)
Ordinary language flip-flops between the interior and the closure, depending on context to make it clear which is meant. For example, for a woman in the store with her small child, we might say that the child is either being carried by the woman in her arms, or is walking beside the woman, or is in the basket. If the child is sitting in the seating portion of the basket, we would normally say that the child is in the basket. However, the basket has a warning label saying “Do NOT allow child to ride in basket”. What the warning label is referring to, of course, is the large receptacle portion of the basket, in other words, the interior of the concept ‘basket’. The seating portion of the basket is the boundary of the basket. Another example is whether, in a court case, the underlying facts would support a felony conviction. This is the interior of the case. The ultimate disposition of the case – perhaps involving plea bargaining – is the closure (no pun intended) of the case. For another example, the voice-over of an online training program may tell you that you have completed the lesson – but that now you must take – and pass – a quiz on the lesson. Going through the material is the interior of the lesson. Passing the quiz afterwards is the boundary of the lesson. The combination of the two is the closure of the lesson. Another example is interval reference. Whether a certain one of the two endpoints is included in the reference can be a key issue, illustrated in the saying, “It’s not the fall that kills you.”
The interior is referenced in ordinary language via the postpositive adjective ‘proper’ – e.g., the child is not to ride in the basket proper. (A well-known example of a postpositive adjective is ‘Attorney General’. Another one is ‘sergeant-at-arms’.)
keywords: topology