TheBramble
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Excuse my pedantry, but The Fibonacci Series, the real one, the original one, began with a value of 2 for reasons that should be obvious to those who have studied the basis for its development and the original purpose of the string.Yes, the Fibonacci series begins at 0 but that does not mean that a series needs to contain 0 to be a Fibonacci series. 1,1,2,3,5,8,13 is a Valid Fibonacci series and does not start with 0. It satisfies all the requirements. [F1 = 1; F2 = 1; Fn = Fn-1 + Fn-2 Each member of the series is the sum of the previous two]
That is has since been adopted to suit the largely whimsical constructions in support of argumentation for its own existence, determination and reality in other spheres is a continuing testament to the ability of the human mind not only to see patterns where none exist, but to create apparent order out of that which has no order in reality other than that to which an ordered mind can apply. And this without any attempt to even shake a stick let alone poke one at the mental gymnastics that are never apparently required to wonder at the lack of any sensible explaination as to the basis for consideration of 0.5 being a 'valid' Fib level.
While I am as off topic as anyone given the subject matter and the intent of the thread starter, I’ll offer you the opportunity to go a little further off on a tangent and suggest, if you wish, to consider the ramifications of Leonardo having started off with any of the other numbers of the original series other than 2.