The Antichristian Phenomenon

I often come across statements like the following: “Prove x” or “Prove not x” – most often in the form “Prove God exists” or “Prove God doesn’t exist” (I will be using this example throughout the article). I get a bit tired about this because people do not seem to understand when something can be proven, when it can’t be, what the restrictions of evidence are and when something is a scientific question or not.

Proof yields certainty within a formal system

There is no such thing as proof in the context of every-day life. A proof is something by which we can say something is definitely so, or definitely not so. This means 100% certainty. So how does one get 100% certainty? The history of epistemology, the philosophy of knowledge, seems to indicate that such a thing is impossible with one exception (See Descartes’ meditations) and that in all other cases there is always room for doubt. If that is the case, how can proofs exist, as they should be things by which we attain absolute certainty?

Proofs do exist, but you have to keep in mind that these proofs are derived in the context of a certain framework. Such a framework assumes basic rules and basic truths, from which more truths are derived. We call this framework a formal system (or a logic(al) system). More formally, we say that a formal system has a deductive system, consisting of the basic truths (axioms) and the basic rules (rules of inference). The formal system also has a formal language.

Mathematics as an example of a formal system

This may sound vague, so let’s just take the best example: mathematics. Mathematics is a formal system. Mathematics has a language: it has symbols (e.g. x), numbers (e.g. 1), and operators (e.g. +) and grammar in which these components can occur (e.g. 1+2=3, but not =12+=). Note that 1+4=6 is a mathematical statement, even though it is untrue (which can be proven!) – analogous to this is that “I eat ideas until I am born.” is a grammatically correct sentence, even though a non-sensical one. Mathematics also has a deductive system. This deductive system has axioms (ground truths) such as Peano’s axioms, which describe the ground truths for arithmetic. The deductive system also has inference rules; rules by which other truths can be derived from the ground truths. Note that the ground truths are assumed to be true; they can not be proven within the formal system.

Chess as an example of a formal system

A different and perhaps more appreciable example of a formal system is a game like chess. Chess has a language: these are not symbols like in mathematics, but the chess pieces themselves, and the playing board. The axioms correspond to the starting positions of the pieces. It also has rules for what movements are allowed for what pieces. A configuration of chess pieces can be said to be “grammatically correct” if it can be reached using the movement rules for the various chess pieces. If a configuration is found that can not be reached using the rules for chess, you can say that it is not a chess configuration, just like we can say that =12+= is not a mathematical statement. In this regard chess puzzles are completely equivalent to mathematical problems. Chess being a formal system is the reason a chess game can be described with a string of coded chess notations, and the reason why computers can play chess.

Back to the weird statements people make. When you read that somebody has “proven that God (does not) exist(s)”, you should immediately think the following things:

1. This person is talking about proof, so this person is using a formal system.
2. In this formal system, “God” is a formally defined concept
3. In this formal system, “existence” is a formally defined concept or attribute for formally defined concepts
4. Using the deductive system of the formal system, this person has shown that “God” has the attribute “existence”

But of course, that is never the case. These people confuse the context of the formal system with the context every-day life: e.g. the “God” concept within the formal system with something that exists outside of that formal system. When you are not talking mathematics or logic, chances are small your use of the word ‘proof’ is correct. That also means that somebody who is trying to convince you that God exists, you must not ask him to “prove it”

Evidence never yields certainty, but does not require a formal system

Evidence is very different from proof. Whereas proof gives you certainty about something within a formal system, evidence can never give you any certainty. It only assigns more certainty of the truth to that which it is evidence of. If there is a lot of evidence in favour of a particular idea, and little or no evidence to suggest the opposite, we should assign a large certainty that that idea is true. David Hume communicates this idea concisely in An Enquiry Concerning Human Understanding when he writes “A wise man proportions his belief to the evidence”.

Scientific evidence

In a pursuit of understanding the universe, we are quickly moved toward scientific evidence. Scientific evidence is evidence for a scientific concept, and which is in accordance with scientific requirement. Eyewitness testimony is considered important evidence in court, but it is of no value in the scientific community, for reasons of possible bias and the shortcomings of human perception. Therefore, eyewitness testimony is not scientific evidence. This is largely understood, but that it can only pertain to a scientific concept is often forgotten. How often have you heard atheists demand for scientific evidence for God? I even asked for this myself, until I better understood the concepts I am trying to explain in this article.

“Scientific evidence for God” implies that “God” is a scientific concept. This is certainly possible, but depends entirely on what “God” means. I have never seen a clear definition of God, but I do often encounter attributes of this “God”. One of these attributes is omnipotence: the ability to do everything. There are various degrees of omnipotence that are argued over by theologians, but I’ll overlook this for the sake of clarity. I ask you: if God can do anything, what then can count as scientific evidence of God? The answer is either everything or nothing. In both cases, we can learn nothing at all. Omnipotence is an attribute that the domain of science can not deal with. If God has this attribute, then there can exist no scientific evidence for God, and it is therefore ignorant to ask for it.

Recommendations

So what to do? In short, this article argues that if people want to prove God’s existence, they must first define what “God” and “existence” are within a particular formal system. You can safely disregard any so-called proofs that do not explicitly offer this information. I have also argued that there can exist no scientific evidence for any being that is omnipotent. You can safely disregard any so-called scientific evidence for omnipotent beings. What are we left with? That is something for theists to solve. It seems that “God” is such an obscure concept that, if it possibly exists, it bears little to no resemblance to the entities described in various holy books. Until new information is released, I shall remain an unimpressed non-theist.

This entry was posted on Friday, November 6th, 2009 at 4:24 pm and is filed under Philosophy. You can follow any responses to this entry through the RSS 2.0 feed. You can leave a response, or trackback from your own site.