On the properties of God: a mathematical interpretation

In a discussion of the existence of God, there comes a point where those people who are making arguments for or against such an existence to at least agree on the concept of God, so that there may be a sensible philosophic argument on the topic. For the purposes of this discussion, let a single variable stand for God: G.

The concept of God is that God is that God has many properties, and many of these properties are thought of as being without limits. It would be consistent with the notion that language cannot fully describe God to say that the number of properties of God are not countable by humans. Let the single subscripted variable P_i stand for a single property of God. It is reasonable to assert that God is greater than any one of God's arbitrary properties.

G > P_i

One property of God is that God has an uncountable number of properties, but to say that God is the same as the sum of all of God's properties appears to establish a limit on God by way of language. As an unlimited entity, God in concept has power to add to God's properties at will, so any enumeration of all the properties of God cannot be a finite number. Furthermore, the power of God as an unlimited entity to add any property implies the power to God's power to recreate God without limits. This gives us a working definition of God as the unlimited entity with the unlimited property of self-recreation.

G_1 \to G_2 \to G_3 ... \to G_\infty, where G_1 \equiv G_2, G_2 \equiv G_3, and so on.

It has been argued by nontheists that God does not exist. This is contained in the property of God as the unlimited entity with the unlimited property of self-recreation, so that the nontheist view of the non-existence of God is merely a preamble to the act of self-recreation. Self-recreation is the essence of meta-existence, or that which appears not to exist within the limits of human perception and observation. The ultimate reality of God is not contained in the perceptions or observations of humans; what we see as limits on God are actually reflected limitations within ourselves in our own limited existence. Another way of viewing meta-existence is to say that God has the property of omnidimensionality, the ability to be and exist in an infinite number of ways that are beyond any direct human observation of the existence of God. We may now expand our definition of God in concept as the unlimited entity with the unlimited property of self-recreation while existing beyond the limited human perception of temporal or spatial existence.

A conclusion from God's unlimited property of self-recreation is that God is always greater than the sum of the properties of God. If God were the same as the sum of all properties of God, then God would be limited by language in contradiction to God's existence without limits.

G > \sum_{i=1}^\infty P_i

An individual's understanding of God as a path to enlightment

Clearly, an individual who has no understanding of the properties of God in concept is an individual who has not moved along a path leading to the understanding of God as a concept, whether God exists or not. The perception of God can be achieved through the understanding of the properties of God because the direct obserevation of God is beyond the limited human perception of the meta-existence of God.

For the purposes of this discussion, let P_0 represent the state of understanding of a person who has given no thought or study to the concept of God, and let P_1 represent the same person who has achieved at least some understanding of the first property of God that he or she has devoted time and effort to understanding. It is reasonable to say that one without any understanding of God in concept has an order less than one who understands one property of God in concept, where the ordering is a measure along a path that leads to the understanding of God.

P_0 < P_1

In that ordering, it is reasonable that the individual who has an understanding of a second property of God is farther along the path than one who understands only one property.

P_1 < \sum_{i=1}^2 P_i

With respect to the individual who counts the properties of God and the understanding of each of them, it is reasonable to argue that for all cases, the knowledge of fewer properties of God has a lesser order than the knowledge of more.

\sum_{i=1}^{n} P_i < \sum_{i=1}^{n+1} P_i, where i must be greater than zero.

While it is not possible for mortal beings to have a full understanding of every property of God, there appears to be a limit that as one approaches an understanding of every property of God, one actually approaches God. In a way, this may be considered to be a subjective proof of the existence of God, such that a presumption of the non-existence of God leads to substantial gaps and contradictions in one's understanding of reality through the empirical sciences.

\lim_{n \to \infty} \sum_{i=1}^{n} P_i \to G

One of the largest gaps in our understanding on the assumption of God's non-existence is the lack of understanding regarding the creation of the universe. As an entity without limits, God has the property of unlimited power, expressible as infinite energy. The infinite energy of God was greater than the energy required to create the entire universe at the beginning of time.

\infty E > E_{t=0}, where E_{t=o} = m_Uc^2.

With a presumption that God does not exist, the above equation points to a gap in knowledge: Without God, who or what had sufficient energy to create the universe? This is a question that is beyond the ability of empirical science to answer, as the answer lies outside the range of scientific observation. At this point, arguing the non-existence of God implies the eternal insufficiency of empirical science to explain the most basic questions about the existence of the universe. These questions eternally defy the ability to frame any reasonable solution by those who deny the existence of God.

A social lack of understanding of the properties of God

A most significant property of God in concept is that God is the source of life. Contradictions arise whenever a social group claims to be composed of God's followers but then acts in ways contrary to the properties of God, the source of life. Serious contradictions can be seen be any social group composed of individuals who claim to be on a path to peace through their submission to the will of God, yet a defining characteristic of that group is its call for its members to kill others who believe in God no less strongly.

When the acts of those claiming to be believers in God are contradictory to the properties of God, and where the perpetrators of those acts commit them purposefully, then they have been misled by others or are misleading themselves into a denial of those properties of God that they contradict. This is generally the case in human history where one religious group makes war on another, and recent history contains examples of religious civil warfare. By observation, there is no religious group claiming to adhere to the will of God that has not experienced some episodes of turning away from God, especially in the persecution of others or even their own members.

\neg P_i < P_i for all i greater than zero.
\neg P_i \ll G (symbolizing a turning away from God through intentional thoughts and actions)

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