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Ontological Mathematics for Engineers: Controlled Paradoxes -- a "Digalog".

Introduction America: the land of the double cheeseburger, large fries, and a diet coke : that weirdly normal land of mini-trucks , working vacations , and negative income . Everyone wants the thing that is not the thing. Because once you have A and not-A, then you can prove anything. This post is going to be more of an experiment: an exploration of how one can start thinking upon mastering the generator functions  of OM (or at least some of them). In other words, this is your brain on Ontological Mathematics (*1). I feel I've read enough of their books such that I can start "improvising", or "riffing" on some original ideas of my own i.e. not just a dialog, but a  digalog. *1 or perhaps I should say this is your mind on Ontological Mathematics. Thus in that spirit, we introduce the concept of the controlled paradox . A Controlled Paradox (CP) is not an official OM concept (*2), but there are lots of places in OM (as well as philosophy and nature in ...

Blockchain and Bitcoin

Ontological Mathematics for Engineers: Blockchain and Bitcoin. In which we use the language of Ontological Mathematics to help us understand Blockchain and Bitcoin technologies. - "Mathematics is where essence and existence are identical." - "Time is the coin of your life. It is the only coin you have, and only you can determine how it will be spent. Be careful lest other people spend it for you. --- Carl Sandburg" - "Blockchain is the original God, Bitcoin its prophet, and the Altcoins are the disciples." - "Immutability changes everything." Introduction In this post, another entry in the Ontological Mathematics for Engineers series (or its implicit co-series Engineering for Ontological Mathematicians ), we primarily focus on the Blockchain and, to a lesser extent, its more widely known cousin Bitcoin. What makes this write-up unique is that we will be using the language of Ontological Mathematics (OM) to help us achieve our obj...

On the PSR (Principle of Sufficient Reason)

Introduction The PSR and Ontological Mathematics In this post we will examine the Principle of Sufficient Reason (PSR) and what is exactly meant by this term in Ontological Mathematics (OM) esp. its relationship with Euler's equation (EE) (*1). While it may seem unnecessary to do this given the apparent simplicity of the PSR, and how much Ontological Mathematics talks about it, upon closer examination it's a term that I find somewhat conflated and not properly nuanced in the God Series (GS) or the Truth Series (TS). As previously stated, the biggest distinction that needs to be made is how the PSR is similar and yet differs from Euler's Equation. We will also examine if the PSR can indeed qualify as the sole axiom upon which a math system such as Ontological Mathematics can be built. *1 Technically Euler's Identity   The Groundwork: Basic Concepts   Here we briefly review the PSR, EE, and the need for a master axiom. The PSR: A Basic Overview...

Is PI falsifiable?

On Pythagorean Illuminism and falsifiability “You can easily get the impression that sometimes the experiments are practically impossible. And even if they are practically possible, they might take so long that, practically speaking, you could go most of your life without having to confront [the results of an] experiment. And before that, anything goes. You can make up all kinds of la-la stories, and maybe every now and then, once every fifty years or so, experiment will come along and chop things down. So, great job if you can get it, right? You can just sit around, make shit up, and you’re never checked. That’s the impression that I would get.” -- Physicist Nima Arkani-Hamed on the difficulty of empirically falsifying theories in contemporary physics. Hossenfelder, Sabine. Lost in Math (p. 69). Basic Books. Kindle Edition.   Why Falsifiability One of the greatest strengths of science is it principle of falsifiability. Falsifiability is the notion that you can perform an...