The existence of logic (such as the law of non-contradiction) is consistent with the Biblical worldview since it is based on the understanding that logic is universal, invariant, and immaterial. These characteristics of logic are difficult to account for within a materialist worldview, which is why the Biblical worldview provides the only coherent basis for the existence of logic.

First, let us consider the universality of logic. Logic is not something that is dependent on any particular culture, language, or individual. It is universally applicable and valid, regardless of any external factors. This universality of logic can be explained by the fact that it is grounded in the nature of God, who is himself universal and transcendent. In the Biblical worldview, God is the ultimate source of all truth, including logical truth. As such, the existence of logic is grounded in God's nature, which is universal and applicable to all.

Secondly, let us consider the invariance of logic. Logic is not something that can be changed or altered by human beings or any other external factors. The laws of logic are unchanging and absolute. This invariance of logic can also be explained by the nature of God, who is unchanging and absolute in his nature. The laws of logic reflect God's nature and are therefore unchanging and absolute.

Finally, let us consider the immateriality of logic. Logic is not something that can be observed or measured in a physical sense. It is an abstract concept that exists outside of the physical world. This immateriality of logic is consistent with the Biblical worldview, which recognizes that there is a non-physical realm that exists beyond the physical world. In the Bible, this non-physical realm is referred to as the spiritual realm, which is inhabited by God and other spiritual beings.

In contrast, a materialist worldview has difficulty accounting for the existence of logic. Materialists believe that everything that exists is ultimately reducible to physical matter and natural processes. However, logic is not something that can be reduced to physical matter or natural processes. It is an abstract concept that exists beyond the physical realm. Therefore, materialism cannot account for the existence of logic, is a significant deficiency in the materialist worldview.

In conclusion, that the existence of logic is consistent with the Biblical worldview because it is universal, invariant, and immaterial. These characteristics of logic are difficult to account for within a materialist worldview, which is why the Biblical worldview provides the only coherent basis for the existence of logic.