Strange Loop

A phenomenon in which, whenever movement is made upwards or downwards through the levels of some heirarchial system, thesystem unexpectedly arrives back where it started. Hofstadter (1987) uses the strange loop as a paradigm in which tointerpret paradoxes in logic (such as Grelling's Paradox and Russell's Paradox) and calls a system in which astrange loop appears a Tangled Hierarchy.

References

Hofstadter, D. R. Gödel, Escher, Bach: An Eternal Golden Braid. New York: Vintage Books, p. 10, 1989.

• Poincaré Formula
• Poincaré-Fuchs-Klein Automorphic Function
• Poincaré Group
• Poincaré-Hopf Index Theorem
• Poincaré Hyperbolic Disk
• Poincaré Manifold
• Poincaré Metric
• Poincaré Separation Theorem
• Poincaré's Holomorphic Lemma
• Poincaré's Lemma
• Poinsot Solid
• Poinsot's Spirals
• Point
• Point at Infinity
• Point Estimator
• Point Groups
• Point-Line Distance--2-D
• Point-Line Distance--3-D
• Point Picking
• Point-Plane Distance
• Point-Point Distance--1-D
• Point-Point Distance--2-D
• Point-Point Distance--3-D
• Point Probability
• Point-Quadratic Distance