Jordan Curve Theorem
Intuitively obvious but hard to prove. Plane topology.
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Similar Mathematical Theorem
Pythagorean Theorem
Relates sides of right triangles. Foundation of geometry and distance.
Intermediate Value Theorem
Intuitive but powerful. Guarantees roots exist.
Four Color Theorem
Any planar graph 4-colorable. First major computer-assisted proof.
Squeeze Theorem
Limit technique. Sandwich theorem.
Stokes' Theorem
Generalizes fundamental theorem of calculus. Differential forms.
Lagrange's Theorem
Fundamental group theory. Cosets and quotients.
Divergence Theorem
Gauss theorem. Connects flux and divergence.
De Moivre's Theorem
Powers of complex numbers. Trigonometry and complex analysis.
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CPT Theorem
Fundamental symmetry of nature. Antimatter and time reversal.
General Relativity
Mass curves spacetime. Objects follow geodesics. Replaces Newtonian gravity.
The Fold
Leibnizian-Deleuzian concept of infinite folding as nature's operation. Matter folds infinitely inward; soul unfolds infinitely …
Critique of Pure Reason
Kant's foundational work establishes limits of human knowledge and synthetic a priori judgments. Through transcendental …
Graphite
Graphite soft carbon grounds creative and spiritual energy into physical form. Used for writing and …
Kierkegaard on temporal paradox
Kierkegaard on temporal paradox
Rationalism
Epistemological view that reason is primary source of knowledge, independent of experience. Rationalists like Descartes, …
Graphene
Graphene single-atom carbon sheet. Strongest material known. Represents nanotechnology future and impossible thinness with strength.