The abstract expression says that two sets a And the B Equal if and only if they contain the same elements. It seems somewhat logical. Otherwise how should one know equality?

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However, it becomes more complicated if you look at it another way. For example, are the two functions f(x) = 2x + 4 and g (o) = 2 (x + 2) the same? for any numerical value of x Both pictures give the same result. However, the external form of the equations is certainly different.

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The question of how to explain equality is more relevant than one might think given abstract mathematical logic. Because it is completely different from human reasoning. For us, it makes a difference in the form in which it is presented, even if what is described is the same.

The problem becomes more real once one leaves mathematics. For example, one can consider two models that describe the impact of preventive measures in the face of a pandemic. The first indicates that the measures protect 40 out of every 100 people. Model 2 gives the finding that 60 out of every 100 people could become ill despite all precautions. or to put it completely tabloid: in the first case, 40 percent is saved; In a second, 60 percent should believe it. Which model is better?

It depends on the correct presentation
In this simple example, it is easy to notice that there is no difference. Like the previous two functions, the two models are just different ways of describing the same result. However, the frame is different: one is positive and the other is negative. In pure mathematics it does not matter. However, when real-world science communicates equally real human decisions, presentation can be very apt.