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Showing posts from July, 2016

Nature of Addition and Multiplication

The two aspects of the number system that I have identified i.e. Type 1 and Type 2 respectively, are intimately related to the distinction as between addition and multiplication. To see this clearly, I concentrate on - what I refer to as - pure addition and pure multiplication. Pure addition simply relates to the successive adding of 1 to the previous unit (starting with 1). Pure multiplication by contrast relates to the successive multiplication by 1 of the previous unit (again starting with 1). In this way, we are enabled to generate both the Type 1 and Type 2 aspects of the number system. Thus through addition of 1 we obtain, 1 1 , 2 1 , 3 1 , 4 1 , ...... So in this Type 1 aspect, the base are the natural numbers, which are all defined with respect to the (default) dimensional number of 1. This defines the conventional mathematical approach to numbers where the natural numbers - and indeed all reals - are represented as lying on the (1-dimensional) number lin