Now, for one of my favorite Logical arguments: The Kalam cosmological argument. This argument is made best by philosopher William Lane Craig. So I will be succinct in my explanation and post some of his comments on it as well:
Kalam cosmological argument
The aim of the “Kalam cosmological argument” (as it provides today) is to build upon the empirical scientific facts that point directly to the universe having a definite “BEGINNING” in the finite past. The argument battles against the existence of an infinite regression of past events which implies a universe that has infinitely existed. This argument implies the existence of a First Cause (the Theist calls Him God).
The syllogistic format of the argument is:
1. Whatever begins to exist has a cause.
2. The universe began to exist.
3. Therefore, the universe has a cause.
Note that the key phrase here is "begins to exist". The question is not "whatever exists".
The traditional atheistic counter had previously been to point at premise 2, by taking the illogical position that the universe has always existed (steady state etc…). With the advent of the preponderance of the empirical scientific evidence pointing directly to a specific BEGINNING to our universe (some call it the Big Bang), this rendering this line of defense obsolete and outdated due to said evidence. It should also be noted that the Kalam argument removes the atheistic “infinite regress” knee jerk reactions from the discussion on creation involving God which when they claim "Then who created God?" (see “The Principle of Existential Necessity” - Bn exists. Since God has no beginning, the question becomes meaningless. The Bible makes clear that God exists outside of our construct of time in many locations, including 1 Corinthians 2:7, 2 Timothy 1:9, and Titus 1:2.
Now, I defer to Dr. William Lane Craig. You can see some of his argumentation at:
http://www.leaderu.c...h/3truth11.html (I would post more from one of his web sites, but you must be a member there <no cost> If you wish to become a member that is totally up to you)…
<excerpt>
“Now there is one form of the cosmological argument, much neglected today but of great historical importance, that aims precisely at the demonstration that the universe had a beginning in time.[ See William Lane Craig, The Cosmological Argument from Plato to Leibniz, Library of Philosophy and Religion (London: Macmillan, 1980), pp. 48-58, 61-76, 98-104, 128-31.] Originating in the efforts of Christian theologians to refute the Greek doctrine of the eternity of matter, this argument was developed into sophisticated formulations by medieval Islamic and Jewish theologians, who in turn passed it back to the Latin West. The argument thus has a broad inter- sectarian appeal, having been defended by Muslims, Jews, and Christians both Catholic and Protestant.
This argument, which I have called the kalam cosmological argument, can be exhibited as follows:
1. Whatever begins to exist has a cause of its
existence.
2. The universe began to exist.
2.1 Argument based on the impossibility of an
actual infinite.
2.11 An actual infinite cannot exist.
2.12 An infinite temporal regress of
events is an actual infinite.
2.13 Therefore, an infinite temporal
regress of events cannot exist.
2.2 Argument based on the impossibility of
the formation of an actual infinite by
successive addition.
2.21 A collection formed by successive
addition cannot be actually infinite.
2.22 The temporal series of past events
is a collection formed by successive
addition.
2.23 Therefore, the temporal series of
past events cannot be actually
infinite.
3. Therefore, the universe has a cause of its
existence.
The link I provided gives far more detail on the subject…