supthos

Now, even oscillating curves have a rate of change. It may not be constant, but it exists. Take, for example, the harmonic series. We know it diverges. If we speed things up, we can ask how “fast” is a task approaching infinity. How fast does the harmonic series diverge? The zeroes of the sine function approach infinity at a constant rate equal to a wavelength per unit. Here, we assume as our standard, the rate of change of the natural numbers, which is one per unit. Definition: A discrete supertask is as sequence of events whose number of elements approach infinity at a rate smaller than that of the natural numbers. If we make a transformation of the natural numbers such that its velocity equals ½, then we have a supertask, and have compressed the whole natural number line between 1 and ω/2. Such a transformation can be a projection which will preserve a constant rate of change in the projected space. You may ask what does it mean to reach or approach infinity. With a normal...

Operations like a sum, we may take for granted. We just think that numbers go on forever, and the sum is able to transcend infinity. We can take a point at infinity and pack it into a finite distance with a Riemann sphere projection for example. So, there are two parts to the story of the natural numbers: the numbers from zero and the numbers from infinity. It’s just that, from infinity, you count -1, -2, -3, etc… Until you reach negative infinity. Id est, Zero!  This is all, because negative is just a direction opposite from positive. Being collinear, zero and infinity are related by the line that defined them. The sum of two finite natural numbers can reach infinity, and the result of such sums are thus called transfinite natural numbers. At twice infinity, we have the sum of infinity and infinity.  At half infinity, the sum of finite numbers become transfinite. Having half infinity plus one, plus half infinity be equal to infinity plus one. Here, we have an algebra we can w...

Lorena Oliveira happened to be back in town and said she could meet Joanne at home after she was done with a magazine campaign photoshoot abroad. Joanne used to babysit her daughter, Zoe Luna. Originally from Brazil, Lorena has deserved the respect of the whole who’s who of the fashion world. If anyone had access to anything, it would be her. Our Heroine’s request wasn’t a walk in the park though. “The list you want, I can give you tomorrow. I’ve got to update it after this trip. But about streaming technology, wouldn’t your sister be of more help? That’s… what she does for a living.”  “She can’t know I’m becoming one as well.” Lorena looks at her, who was accidentally separated from her twin sister at birth, trying to understand. “You must have your reasons, Jo, and I’m not the one to scrutinize them. But I’ll do something for you. Tom has a friend called Bill Dryller.” She divorced Thomas Greene about a decade before. “If there’s anyone who can get you what you want, it’s...