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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 one object is the same, they are complex, they are 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 leant 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 up in one paper as soon as I can. Blair

Rationality and Chaos

Updated: 29th Nov. 2012 This is an entry I have been wanting to do for some time, and is the first of three on fractal insights I have discovered on the economic assumptions (rationality, ceteris paribus, and perfect knowledge). This is a very difficult subject to describe, I hope I give it justice. I strongly believe that the issue of understanding of rationality is closely related to - if not the same as - that of understanding 'chaos': that is to say, complex systems are unpredictable. If we are to understand rationality, then 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, so as to see the order (or the 'same', as in the definition), amongst complexity -  just as other science's do.  This definition maybe adapted or interpreted in this context