Devoted to the viewpoint of Islam of Muhammad SAW and Amir ul-Mumineen, Ali ibn Abi Talib SA, in the Shi'a Fatimi Ismaili Dawoodi Bohra tradition.

While technically true that God revealing Himself to man would constitute a proof of sorts, that also denies faith. Now the man to whom God has revealed Himself does

I do believe that God exists, and that belief is independent of whether God proves his existence or not to me. Thus I do not need proof, and in fact God's direct revelation would

This is why an avowed atheist such as Steven Den Beste is my ally, against attempts to prove the existence of God, such as the Kalam Cosmological Argument. This supposed proof proceeds as such:

- The universe either had (a) a beginning or (b) no beginning.
- If it had a beginning, the beginning was either (a) caused or (b) uncaused.
- If it had a cause, the cause was either (a) personal or (b) not personal.

The supposition is that if the Universe had a beginning, which was caused, and the cause was personal, then that proves God. Actually, it doesn't, because

But the methods by which the Kalam argument "proves" the answer to be (a) in each case constitute a gross abuse of mathematics and science. Note that by relying entirely on Math, Science, and Philosophy to attempt to infer the existence of an entity that transcends those concepts (by definition), the proof is already in violation of Godel's Incompleteness Theorem. But a more fundamental flaw is that the entire thesis rests on the postulate that "a trait of the actual infinite is that nothing can be added to it". They attempt to justify this using a thought-experiment called "Hilbert's Hotel" :

Let us imagine a hotel with a finite number of rooms, and let us assume that all the rooms are occupied. When a new guest arrives and requests a room, the proprietor apologises, 'Sorry--all the rooms are full.' Now let us imagine a hotel with an infinite number of rooms, and let us assume that again all the rooms are occupied. But this time, when a new guest arrives and asks for a room, the proprietor exclaims, 'But of course!' and shifts the person in room 1 to room 2, the person in room 2 to room 3, the person in room 3 to room 4, and so on... The new guest then moves into room 1, which has now become vacant as a result of these transpositions. But now let us suppose an infinite number of new guests arrive, asking for rooms. 'Certainly, certainly!' says the proprietor, and he proceeds to move the person in room 1 into room 2, the person in room 2 into room 4, the person in room 3 into room 6, the person in room 4 into 8, and so on... . In this way, all the odd-numbered rooms become free, and the infinity of new guests can easily be accommodated in them.

In this story the proprietor thinks that he can get away with his clever business move because he has forgotten that his hotel has an actually infinite number of rooms, and that all the rooms are occupied.The proprietor's action can only work if the hotel is a potential infinite, such that new rooms are created to absorb the influx of guests. For if the hotel has an actually infinite collection of determinate rooms and all the rooms are full, then there is no more room. (Craig, Kalam, 84-85)

The simplest counterexample is simply the infinite set N of real positive integers, ie { 1, 2, 3, ... }. Now all I do is add zero. We now have { 0, N} where N = { 1, 2, 3, ...}, ie {0, 1, 2, 3, ...}. There! We just added one to infinity.

To apply this counterexample against Hilbert's Hotel, simply consider the room numbers to be labeled according to N. Now the hypothetical guest arrives. Build him a new room with room number 0.

The distinction between a "potential" and "actual" infinite is

In fact, they repeat this type-confusion by asserting that because "potential infinities" cannot exist in the Real World, that this even applies to God. The implicit assumption that they (probably did not intend to) make is that God is bounded by the Real World. This may have been true for the Greek pantheon, but Allah is beyond human comprehension and the limits of his Creation.

The website invoking Kalam also argues that Cantor, of set-theory fame, also subscribed to a version of this argument and even tried to present it to the Pope:

In fact, until Gregor Cantor's work in set theory, mathematicians rejected the existence of an actual infinite as a mathematical concept. But Cantor himself denied the existential possibility of the actual infinite. In correspondence with the Pope, he even suggested that the existential impossibility of the actual infinite could be used in a mathematical-metaphysical proof for the existence of God.

This proves that Cantor was a great mathematician, but a poor theologist.

permalink | posted by Shi'a Pundit

Shi'a Pundit was launched in 2002 during the run-up to the invasion of Iraq. The blog focuses on issues pertaining to Shi'a Islam in the west and in the Islamic world. The author is a member of the Dawoodi Bohra Muslim community. Bohras adhere to the Shi'a Fatimi tradition of Islam, headed by the 52nd Dai al-Mutlaq, Syedna Mohammed Burhanuddin (TUS).