A case for God's existence - (Arguments 1 to 4)

I asked a.i. to give some arguments for God's existence and here are the first 4 arguments it came up with.

1. The Argument from Fine-Tuning

The Logic: The physical constants of our universe are so precisely calibrated that if any one of them differed by a fraction of a percentage, stars wouldn't form and life would be impossible.

The Undeniable Fact: The Cosmological Constant, which governs the expansion of the universe, is fine-tuned to one part in 10 to the 120th power. To put that in perspective, that is a precision equivalent to hitting a one-inch target on the other side of the observable universe with a single arrow.

2. The Argument from Irreducible Complexity

The Logic: Certain biological systems are composed of several well-matched, interacting parts that contribute to the basic function; the removal of any one part causes the system to effectively stop functioning, meaning it could not have evolved through slight, successive modifications.

The Undeniable Fact: The bacterial flagellum is a literal microscopic outboard motor that requires about 40 specific proteins to function; if even one of these structural proteins is missing, the motor fails to rotate, rendering it useless for the bacteria’s survival.

3. The Argument from Mathematical Probability

The Logic: The "random chance" required for a single functional protein molecule to form spontaneously is so statistically improbable that it exhausts the resources of the entire history of the universe.

The Undeniable Fact: The probability of a single functional protein of 150 amino acids forming by chance is estimated at 1 in 10 to the 164th power. For context, there are only about 10 to the 80th power atoms in the entire known universe.

4. The Argument from Biological Aesthetics

The Logic: Nature frequently exhibits beauty and "over-design" (such as the intricate patterns on a peacock’s feather or the scent of a flower) that serves no strictly utilitarian survival purpose, suggesting a Creator who values artistry.

The Undeniable Fact: The Fibonacci Sequence and the "Golden Ratio" appear consistently across unrelated species—from the spiral of a nautilus shell to the arrangement of seeds in a sunflower—demonstrating a recurring mathematical "signature" in design.