I recommend you read the original publication, to gain the full benefit of the discussion.
1. (Tainter’s Axiom): Any society that continues to use critical resources unsustainably will collapse.
2. (Bartlett’s Axiom): Population growth and/or growth in the rates of consumption of resources cannot be sustained.
3. To be sustainable, the use of renewable resources must proceed at a rate that is less than or equal to the rate of natural replenishment.
4. To be sustainable, the use of non-renewable resources must proceed at a rate that is declining, and the rate of decline must be greater than or equal to the rate of depletion.
5. Sustainability
requires that substances introduced into the
environment from human activities be minimized and rendered harmless to
biosphere functions.