38|The Particularity of Mathematics and Conclusion

38|The Particularity of Mathematics and Conclusion

4. The Particularity of Mathematics

Mathematics possesses the power to calculate the trajectories of celestial bodies. The cause of this is not that Man has grasped the totality of Truth. Rather, it lies in this: Human Reason and the structure of the World share a certain Common Ancestry (Homology), yet the models we employ are highly simplified. There exists no such thing as an absolutely continuous line, yet a discrete model is sufficient to achieve success at the target level of granularity. We do not need to understand dark matter to enter space. Ancient Man did not need to know the specific mechanics of photosynthesis to establish the technology of agriculture. Science is a coarse-grained cross-section of Truth. It succeeds because the target scale permits simplification.

5. Structural Error

When a multi-dimensional existence is compressed into the two-dimensional plane of Language, it inevitably generates:

  • Linear Thinking;
  • Stable Causality;
  • Sequential Structure;
  • Conceptual Modeling. Error is not an accident; error is the price of compression. The more stable the Language, the more severe the compression. The more successful the Reason, the more concealed the error.

6. Final Conclusion

Language is not an error. Reason is not an error. Science is not an error. Yet, Linguistic-Reason:

  • Compresses for the sake of propagation;
  • Simplifies for the sake of collaboration;
  • Stabilizes for the sake of prediction. It succeeds because it is sufficiently effective upon the cross-section. But the section is not the Whole. Language cannot exhaust Truth, not because Truth is unknowable, but because a compressed structure cannot carry a multi-dimensional existence.

The issue, therefore, is not an opposition to Reason. The issue is that one must not promote Reason to the status of Truth itself. Since Language is merely a compressed and dimensionally-reduced expression of Reality—and since Man’s 3rd-dimensional Reason shares a common source with the 1st-dimensional Absolute Truth—this is precisely why our Reason can partially apprehend the 2nd-dimensional World-in-Itself.

It follows, then, that there must exist other modes of cognition beyond Language. This is precisely what we shall discuss in the pages to follow.