Well, although Descartes does not explicitly make the case that is on the verge of exposition here (and perhaps he never meant to), the Meditations evokes avid curiosity regarding the notion that the cosmos may very well have self-organized in a mathematically perfect manner, such that all the chemical compositions and measurements pertaining to the configuration, distance and direction from which celestial bodies situated themselves in relation to all other celestial bodies, came to be in accordance to a mathematically exact design. However, once intelligent organisms take the stage, despite having followed said mathematically, physio-mechanically and biochemically perfect ordering, the factor of free will interferes with the prevailing processes underpinning a mathematically perfect spatiotemporal, ecological, and geophysical framework of creation.
Namely, the human ability to exercise free will necessarily thwarts the mathematically perfect processes from continuing as usual, because the ability to choose as you please and exact your personal will upon life allows for alterations in the fabric of the world, even though mathematically perfect processes will still occur, but in different contexts and directions, in turn causing effects that deviate from the path that may have been unfazed by free will. With the hopes of complete elaboration, even if people arrive at the point in which they are capable of exercising free will on account of mathematical functions propelling the mind into such a state, what ultimately matters is that while in such a condition, they are equipped with the conscious apparatus to critically analyze a variety of options they can choose from in accordance to how they willfully think, rather than instinctively react to environmental happenings and circumstances. The manifestations of consequences resulting from free will invariably changes the flow of mathematically reducible behavior.
This mathematical activity, in addition to logical constructions that model nature, would therefore constitute all that is constant in any universe--besides a subatomic membrane that takes on a variety of biological manifestations--meaning that no matter what the chemical, biological and physio-mechanical laws may be, they will follow specific mathematical and logical forms, although such configurations could theoretically change or be proven incorrect to greater or lesser degrees. Either way, no matter how physical and tangible/salient manifestations of being are presented via matter and an array of fundamental physical forces, all that happens and exists outside of free will can arguably be understood and seamlessly modeled through mathematical patterns and symbolic logical constructions.
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