0.999…≠1, confirmed

Probably (but caveat) the most well-known and widely read of my victories is my research proving that the very central theorem of Calculus, 0.999…=1, is false. After all, that study provoked 119 responses in the literature.

Enter Matt “0.999…≠1” Parker and Jordan “0.999…≠1” Ellenberg of the very popular channel, “YouTube.” They show beyond 1 – 0.999… silvers of doubt (see what I did there?) that I am correct. Notice how deafly they explain that it is pure subjective imagination that we DECIDE what the meaning of 0.999… is. We don’t DISCOVER that it is 1. Well obviously, because it isn’t 1. So why not subjectively decide that 0.999… is what it really is? Perhaps it is now time for Calculus to be bedded.

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“0.9999…. = 1”

This is an essential assumption of Bayes’s Calculus. If you doubt that this is common, then just take a cursory look at the mathematical community here, here, here, and here.  And here and here. Do you know what this means? It means that Calculus, like probability (see my deconstruction of probability), is false. The argument goes something like this:

0.333… is 1/3, right? Well 1/3×3=1. But surely 0.333…x3=0.999…! Therefore, by one or another form of the transitive property, 0.999…=1!

In addition to being a near-blasphemous usage of the transitive property, it is just plain false. Think about it in the following manner. 0.1 is necessarily greater than 0.0X, where ‘X’ is any countable number. 0.1 is also necessarily greater than 0.0XX. And so on. No matter how many X’s you add to the series, it will never equal or be greater to 0.1. Therefore, by mathematical induction a la carte, no amount of repetition of 0.0XXX…. could ever equal 0.1, which is what is necessary to add to 0.9 in order to equal 1. Importantly, (0.9 x / x<0.1)≠1 Λ (0.9 x / x<0.1)<1. Therefore Calculus is false. A house built on sand cannot divide itself.

Notice that all I needed to disprove this foundation of calculus was mathematical induction.

Advice to all my readers: Don’t let “math wizards” intimidate you with technobabble. And note that I am not alone.