Cosmological
Kalam
(P1) Everything that begins to exist has a cause. Something cannot come into being from nothing.
(P2) The universe began to exist.
(C1) Therefore, the universe has a cause.
(P3) If the universe has a cause, then an uncaused, personal Creator of the universe exists who sans the universe is beginningless, changeless, immaterial, timeless, spaceless, and enormously powerful. Personal: The first state of the universe cannot have a scientific explanation, since there is nothing before it, and therefore, it cannot be accounted for in terms of laws operating on initial conditions. It can only be accounted for in terms of an unembodied mind and his free volitions, a personal explanation.
(P4) The universe has a cause.
(C2) Therefore, an uncaused, personal Creator of the universe exists who sans the universe is beginningless, changeless, immaterial, timeless, spaceless, and enormously powerful.
Contingency
(P1) Anything that exists has an explanation of its existence, either in the necessity of its own nature or in an external cause. (modest PSR) 17th century Leibniz original Principle of Sufficient Reason (PSR): "no fact can be real or existent, no statement true, unless there be a sufficient reason why it is so and not otherwise."
(P2) If the universe has an explanation of its existence, that explanation is grounded in a necessary being.
(P3) The universe exists.
(C1) Therefore, the universe has an explanation of its existence (from P1, P3).
(C2) Therefore, the explanation of the existence of the universe is grounded in a necessary being (from P2, C1).
(C3) Therefore, a necessary being exists (God).
Teleological
Cosmic Fine-Tuning
(P1) The fine-tuning of the universe is due to either physical necessity, chance, or design.
(P2) It is not due to physical necessity or chance.
(C1) Therefore, it is due to design.
Applicability of Mathematics
(P1) If God does not exist, the applicability of mathematics to the physical world is just a happy coincidence.
(P2) The applicability of mathematics to the physical world is not just a happy coincidence.
(C1) Therefore, God exists.
Moral
The Moral Argument
(P1) If God does not exist, objective moral values and duties do not exist.
(P2) Objective moral values and duties do exist.
(C1) Therefore, God exists.
Ontological
Maximal Greatness
(P1) It is possible that a maximally great being exists.
(P2) If it is possible that a maximally great being exists, then a maximally great being exists in some possible world.
(P3) If a maximally great being exists in some possible world, then it exists in every possible world.
(P4) If a maximally great being exists in every possible world, then it exists in the actual world.
(P5) If a maximally great being exists in the actual world, then a maximally great being exists.
(C1) Therefore, a maximally great being exists.