the logical and mathematical framework that allows the development of mathematics without generating self-contradictory theories, and, in particular, to have reliable concepts of theorems, proofs, algorithms, etc.

In mathematical logic, New Foundations is a non-well-founded, finitely axiomatizable set theory conceived by Willard Van Orman Quine as a simplification of the theory of types of Principia Mathematica.

Open Society Foundations, formerly the Open Society Institute, is a US-based grantmaking network founded by business magnate George Soros.

The Foundations of Geopolitics: The Geopolitical Future of Russia is a geopolitical book by Aleksandr Dugin.

"The Foundations of Decay" is a song by American rock band My Chemical Romance.

a social psychological theory intended to explain the origins of and variation in human moral reasoning on the basis of innate, modular foundations.

a British soul band who were primarily active between 1967 and 1970.