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Showing posts from June, 2011

### 1 + 1 does not equal 2

It came to me yesterday - in an epiphany: 1 + 1 does not equal 2: if it does, it is only half the answer; the other half lies in understanding chaos and fractals. The definition of (or insight from) the fractal is the same but different (or regular irregularity) - at all scales. Fractals show us how no two objects are the same; they are complex and  different . The 'same ' component of the definition is quantitative and met or described as the 1 + 1. The different is qualitative and describes (at least) the diversity, complexity or unpredictability of the object. Update 2015 I have long thought about my early entry and now know more. If 2 identical objects are added together, they equal 1. They are indistinguishable. I have also learned this is an assumption at the quantum level where particles are assumed to be identical, which supports my fractal quantum theory. I plan to write all this in one paper as soon as possible. Blair

### Rationality and Chaos

Updated: 29th Nov. 2012 This is an entry I have wanted to do for some time. It is the first of three fractal insights I have discovered into economic assumptions (rationality, ceteris paribus, and perfect knowledge). This is a very difficult subject to describe; I hope I give it justice. Understanding rationality is closely related to—if not the same as—understanding 'chaos': that is, complex systems are unpredictable. If we are to understand rationality, then we should understand chaos and, thus, fractals. The definition of the fractal (attractor) is: same but different , at all scales. In our Economic models, we use the assumption ceteris paribus: we hold all other variables constant and treat all persons as rational to see the order (or the 'same', as in the definition) amongst complexity - just as other sciences do.  This definition may be adapted or interpreted in this context of rationality to read as rational but irrational at all scales. This is to say that