Perspectivism of the Exact Sciences

A philosophical framework holding that mathematics and logic are always from a perspective—that what a mathematician sees depends on their theoretical commitments, their choice of axioms, their research program. Perspectivism rejects the idea that mathematics is a single edifice of timeless truth. Different mathematical frameworks (classical, intuitionistic, constructive) reveal different aspects of mathematical reality; different logical systems (classical, paraconsistent, modal) are appropriate for different purposes. Perspectivism demands that mathematicians and logicians be explicit about their frameworks, recognizing that perspective shapes what can be proved.

Example: "Her perspectivism of the exact sciences meant she could work in both classical and intuitionistic logic—not because she was inconsistent, but because each was a perspective suited to different problems."

by Dumu The Void March 20, 2026