Theory of Imperfection

In life, you often see great sacrifice of something for success. Nothing is perfect. You won't be in cloud nine all the time and sacrifices are inevitable.

In this article we are going to introduce theory of Imperfection. First, we will familiarize ourselves with the definition of imperfection. Then, we prove why imperfections exist based on the definition of it in different scenarios bounded by certain conditions. Then we are going to argue in the finite space of imperfections, there still exist one optimal choice given that sacrifices are made in the best places possible - because spaces of imperfections are designed for compromises to happen.

Before we get into it, let's see the definition of subsequential truth. Subsequently existing truth, means the truth concluded from facts which are unaltered from previous moments given time t, but yielded a result that may be of surprise but in fact the optimal - because of Theory of Imperfection. Therefor it's an application of the theory.

For a concrete example of the application, we are going to argue the 2024 U.S. Presidential Election has imperfect candidates and as an event is imperfect because the U.S. does not have candidates that are not mostly disliked by the public. But, given the Theory of Imperfection, we still have the best imperfect result overall leading to a more perfect future. Perfection is relativistic and imperfection is unavoidable.

We further conclude imperfections do not interfere with the truthfulness of optimal solution, which will determine an overall perfect life given the time t.

Part I: Definition of Imperfection        

Define perfection to be a concept in the universal methodology that has no paradox.

To define perfection, we define "perfect". Perfect is a second-order structure that does not contradict. We say it is S*

The complement of perfection is imperfection k*

Deducting that imperfection must have paradoxes or other logical flaws.

Imperfections exist due to a failure to be logically coherent.

Part II: Proof of Existence of Imperfection         

The following proof is not rigorous and is altered for human reading convenience.

Suppose Psi is perfection, Psi is represented by Psi = {all sets that are not empty sets + empty sets}

i.e. a set K can be a space of all positive integers

Psi is the Space of all spaces, but since no space can be perfect - see above example as contradictory, every space must contain empty sets, so there's no perfection that could exist.

We have proved imperfections must exist in any model by definition.

Part III: Imperfection by Bounded Conditions         

Part III: Optimal Choice Given Compromises

to be updated.