HexesofVexes

Thanks for the bedtime reading!

I mostly deal with foundations of analysis, so this could be handy.

Ehh, completed infinities give me wind…

Reals are just point cores of dressed Cauchy sequences of naturals (think of it as a continually constructed set of narrowing intervals “homing in” on the real being constructed). The intervals shrink at the same rate generally.

1!=0.999 iff we can find an n, such that the intervals no longer overlap at that n. This would imply a layer of absolute infinite thinness has to exist, and so we have reached a contradiction as it would have to have a width smaller than every positive real (there is no smallest real >0).

Therefore 0.999…=1.

However, we can argue that 1 is not identity to 0.999… quite easily as they are not the same thing.

This does argue that this only works in an extensional setting (which is the norm for most mathematics).

Extra fact - in the USA almost all games use long weighted reels.

I believe this is by law, but may be misinformed.

Also, if you know the rng gen you can game machines: a very very clever group in Russia bought up old machines from defunct casinos, reverse engineered the games, and then developed an app that let a user photograph x number of spins to find out what the seed was for the next spin, and from there told them to bet high or low based on the upcoming game. They made millions, and farmed it out to make more. (https://www.wired.com/2017/02/russians-engineer-brilliant-slot-machine-cheat-casinos-no-fix/)

Never really worked with them (we never made them).

I think they’re lower prize threshold cat Bs.

In the UK, slot machines fall into 4 main categories. Of particular interest are category C machines, as these can remember a fixed number of previous games. I.e. the “myth” that a machine is “about to pay out” because “someone lost a lot to it” can hold for these games.

Cat A and B machines are completely random, previous games can have no impact on probabilities of winning (though pots can climb).

Online games have different rules, not always fair ones!

Oh, and ALL games (in a physical location) must (by law) show “RTP” (return to player) somewhere. It usually gets stuck it in a block of text in the manual since no-one reads them. (If it’s below 97.3% just go play roulette as it offers better returns).

Wow… They want to give AI even more mental illness and crippling imposter syndrome to make it an expert in one niche field?

Sounds like primary school drop-out level thinking to me.

Capitalists AND Reviewer 2… Never underestimate the power of Reviewer 2 in publication!

“How do we stop the world’s smartest people from realising what we’re doing?”

“Let’s make them fight among themselves and call it a meritocracy; we’ll limit their funding and let them keep themselves busy with political infighting!”

And, as a mathematician who has been coding a library to create scaled geometric graphics for his paper, I hate -0.0.

Seriously, I run every number where sign determines action through a function I call “fix_zero” just because tiny tiny rounding errors pile up in floats, even is numpy.

So about 3150 pints of blood (10.5 being average for an adult).

Sounds doable XD

Edit: New ethical dilemma just dropped - kill 300 to forge the sword, or deny 3150 people blood in an emergency to forge the sword…

I have a rare medical condition that makes my coughs sound like “scihub” and “libgen” around undergrads.

I would like to investigate it further to seek a cure, but sadly the medical journals I’d need access to are paywalled. Oh well.

I’m arguing from the standpoint that we establish the idea of counting using the naturals - it’s countable if it maps to the naturals, thus the link. Apologies for the lack of clarity.

On the contrary - to be countabley infinite is generally assumed to mean there exists a 1-1 correspondence with N. Though, I freely admit that another set could be used if you assumed it more primitive.

N is the set of “counting numbers”.

When you count upwards you start from 1, and go up. However, when you count down you usually end on 0. Surely this means 0 satisfies the definition.

The natural numbers are derived, according to Brouwer, from our intuition of time of time by the way. From this notion, 0 is no strange idea since it marks the moment our intuition first begins ^_

Platonism Vs Intuitionism would like a word.

The +5 charisma buff was too hard to pass up.

No, it was a philosophy PhD student on his 2nd bottle of tequila apparently.

“A number is how far along you are on your journey, infinity is the horizon you journey towards.” - Some guy I met in a pub

Responsible adults are boring and should live a little!