Math 2.0

Concept

Abstraction principle

Summary

A formula of the form (∀α)(∀β)(Abst(α) = Abst(β) ↔ Equ(α, β)), where Abst is an abstraction operator mapping the type of entities ranged over by α and β to objects, and “Equ” is an equivalence relation on the type of entities ranged over by α and β. For instance, Hume's principle, and Basic Law V.

Further reading

  1. Wikipedia, page 76765067, revision 1368301704, Glossary of logic, section A. adopted
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