Wed, 29 Apr 2026 17:35:29 +0000

But in Realism, We Accept the Mathematical Result: Bridging Abstract Truth with Practical Understanding In the ever-evolving dialogue between philosophy, mathematics, and science, one question persists: how do we reconcile abstract mathematical truths with our lived, tangible reality? At first glance, mathematics appears detached—an elegant realm of numbers, shapes, and logic. Yet, when we examine realism—the philosophical stance that reality exists independently of our perceptions—something profound emerges: mathematical results are not mere human inventions, but discoveries deeply woven into the fabric of the real world. ### What Does It Mean to Accept Mathematical Results as Real? Realism asserts that mathematical truths—like the fact that 2 + 2 = 4 or that a triangle always has interior angles summing to 180 degrees—are objective and universal. These results hold across time, cultures, and contexts, suggesting they reflect something deeper than subjective formula. Rather than arbitrary constructs, they reveal a consistent structure inherent in reality itself. In this view, mathematics is not invented but discovered, exposing patterns embedded in the very nature of space, change, and causality.