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Pathological Periodicity, Part III: The Periodic Decomposition Problem and Vitali sets.

Pathological Periodicity

periodic decomposition problem

axiom of choice

Vitali sets

Hamel bases

set theory

This is Part III of the series Pathological Periodicity. The previous installment is Part II: The Cage of Continuity; start from the beginning with Part I: Relearning the…

Pathological Periodicity, Part II: The Cage of Continuity

Pathological Periodicity

periodic functions

modules

dense subsets

continuity

This is Part II of the series Pathological Periodicity. Start from the beginning with Part I: Relearning the Basics.

Pathological Periodicity, Part I: Relearning the Basics

Pathological Periodicity

periodic functions

linear algebra

This is Part I of the series Pathological Periodicity.

Returning, Not Repeating

introduction

philosophy

Despite a couple of terrible math teachers I had early in middle school (the kind that cause most people to loathe math for the rest of their lives), by the end I still fell…