In examination of the God hypothesis, we must first look to define reality, logic, existence and truth.
There are two ways to think about reality. The first is the “observable universe”, which is everything we will ever perceive through the senses. The second is “total reality”, which may include other realms, dimensions or the multiverse. We currently only glimpse total reality by the use of pure mathematics. When we examine reality, we find it to have certain properties; everything consists of matter or energy which follow fixed, consistent laws of nature which are mathematically describable.
Logic is derived from reality. In a sense, we made up the concept of “logic,” which follows the fact that the laws of nature are consistent and fixed, where matter is extremely well behaved in following such laws. Matter and energy can be thought of as logically describable. In this way, “logic” describes “reality” with ultimate precision. Various methods of verification (perception, testability, consistency, evidence and logic itself) support the logic of total reality. These methods have been placed in greater frameworks we now call science and mathematics, which are methods used to uncover the logic of reality. Essentially, logical methodology uncovers logical reality. Even total reality follows pure mathematics, which is intrinsically logical. Because of all this, we think of logic as a good thing simply because it describes reality so precisely.
Always Question Authority
One of the beginnings of human emancipation is the ability to laugh at authority. ~ Hitchens
Always Question Authority 
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The author of this post seems to misunderstand both logic and epistemology. Logic is basically how to think correctly and coherently. For something to be logically valid it doesn’t even have to be true or actually exist. Triangles are logically coherent, but that doesn’t mean they necessarily exist in reality. The concept of God or triangles is independent of their existence. This contrasts to a square circle or a married bachelor, as they cannot exist in reality because they are logical nonsense; they are contradictions; they cannot even be conceived of.
The Bible describes God as the Logos, the fundamental orderer of the universe–that is, logic. Logic is not contrary to God, rather it’s ultimately the way God thinks. Neither is God outside of logic as logic is not ours, but once again the way that God thinks. God is above the created order or the natural realm and its laws, but He is not above the logical realm. This is not because logic is above God, but because He is logic, and He cannot contradict Himself.
This essay presents God, logic, and reality in such a way that no studied Christian or even secular philosopher would agree with.