A possible measure of intelligence

I'm going to make a bold and potentially offensive claim regarding what I am beginning to suspect is the proper measure of intelligence.

Observe that (1) all the world is a series of physical events, that nothing known to be of our environment does not involve, at its base, simple rearrangements of energy and matter.

Observe that (2) the only way to describe and understand these events in their entirety is through a rigorous and systematic series of logical statements and that these statements describe numeric qualities (distance, time, mass, volume, energy, velocity, quantity, probability, etc.), i.e. mathematics.

Observe that (3) intelligence is a measure of one's capacity to understand and perform in one's environment.

Observe that (4) in order to understand and operate in one's environment on a conscious basis, one needs some integrated capacity to make these logical statements in estimation, and an increased systematization of these statements allows for greater precision and depth of understanding and thus for a greater range of performance.

Given these points, I will assert that the purest measure of intelligence is one's inclination toward mathematical thought and aptitude for performing mathematical calculations.

Someone countered, in opposition to this, that they can survive plainly and happily without the slightest hint of mathematical knowledge and do not need to perform mathematical calculations in order to demonstrate their intelligence. In defending against this refutation, I must stress that math is not just an exercise for those who are fully conscious that they are performing it.

We perform math on a rudimentary, non-rigorous and unsystematic basis every instant of our waking lives, mostly subconsciously and occasionally consciously. It is present in our brains as we calculate distances, assess proportion, seek out symmetry, recognize patterns, intuit probability, and perform simple counting exercises. These are all integral parts of our ability to comprehend and interact with our world and is hence the primary component of our intelligence. I would go further to assert that an even deeper and even more systematic comprehension and utilization of mathematical principles is indicative of yet higher degrees of intelligence.