Examples of 'logicedges'

• Irrational numbers such as √2 cannot be written as a ratio of 2 numbers. The consequence of this leads to a fundamental uncertainty in the behaviour of the physical world shown by the "butterfly effect" in the "three body problem"

 Demonstration

• Incompleteness Consistent theories* contain a statement that cannot be proved within that theory.

 Demonstration 

• Quantum uncertainty Observing very small particles disturbs them in a most fundamental and unpredictable  way**;

• Quantum interpretation Very small particles are best described with a wave which requires the use of the square root of -1**. 

*sufficient to be able to  describe counting natural numbers.

** from quantum physics currently giving the best scientific description of particles.