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InJesusItrust
Guest
I am not saying “recursion demonstrates infinite regression is impossible” I am saying “recursion illustrates why it is logically impossible” I’m using an analogy to describe something difficult in words. Presupposing that the range has an element obviously breaks the analogy I am trying to make.I am saying that you are using the recursion argument to prove that an infinite chain of events cannot exist, but this is flawed because recursive functions require an initial value by definition. Thus, they are not analogous.
In a way, I can give a counterexample to your scenario with recursive functions.
f= f(n-1) +1
Define Y as the range of f, in other words the set of all this function’s output values (you probably know what range means, but since it is a technical term I explained it for the benefit of readers who forgot all their math
)
Let us define as part of the definition of this function that 0 is a member of set Y.
This leaves us with a well defined recursive function with no ‘base’ as you say. We can even make deductions about this function and its domain and range. We can deduce that the range and the domain are both the same, namely the set of integers. Therefore this function is a reversible one, so it has an inverse function as well.
Even though this function has no base, we can discern a number of properties about it, in spite of the fact that it has an infinite regress in it.
I will try in words again. We know that an event has a cause. You are saying that the world is an infinite regression of creation and destruction, which are both events. The cycle cannot work unless the universe is instantiated. Once it is the cycle is no problem. But if it has to be instantiated, it has to be started in a state between these two. To try a programming analogy, you are describing the class, but an object needs to be created. The object has to be made externally to the class definition. The class code cannot run without an instiniation of my object. The cycle has to start in an intermediate state, but if it does it is no longer infinite. There was a first cause.
Forgive my analogy if it makes more confusion, I’m trying the best I can. I am no philosopher, just a software engineering student.