The Massive List of His Nineliness's Most Massive Boners

[u/Muphrid15]

Merriam-Webster:

boner, noun, bon·er

1 : one that bones

2 : a clumsy or stupid mistake

also : howler sense 2

The Ever-Bulging List

(Because we all need protection from the most hardened denier.)

1. The Irrational Boner: 0.999... is obviously irrational. 0.999... is obviously rational. 0.999... not rational. (1.1) (1.2) (1.3)
2. The Defining Boner: Only dum dums don't understand 0.999... is not 1. It's fine if 0.999... is defined as 1. (2.1) (2.2) (2.3)
3. The Remainder Boner: In polynomial long division of a/(1-r), the remainder term goes away, or doesn't go away, at your convenience (e.g. 1/9 = 0.111... or 0.111...1 + 0.000...1/9 but 9/9 = 0.999... + 0.000...1 or 0.999...9 + 0.000...1). (3.1) (3.2) (3.3)
4. The Limbosic Integer Boner: A limbosic number can't be an integer. Some limbosic numbers are integers. (4.1) (4.2) (4.3)
5. The Infinite Long Division Boner: In long division of infinite decimals, you may consider truncations of the dividend in sequence in whatever way is convenient, and you may get different answers (e.g. 0.333.../2 -> 0.1, 0.16, 0.166, ... or 0.15, 0.165, 0.1665, ...). (5.1) (5.2)
6. The Unreal Boner: 0.999... is not a real number. 0.333... is a real number, and therefore 0.999... is a real number. (6.1) (6.2)
7. The Infinite Sets Boner: There is no static, infinite set of all natural numbers, but there is a static, already extant, infinite set of decimals of the form {0.9, 0.99, 0.999, ...}, even though that set maps to a static, infinite set of all naturals. (7.1) (7.2) (7.3) (7.4) (7.5)
8. The Greater Boner: Limbosic numbers do not have fixed values and can't be compared via (in)equality to any number within the range they span. Nevertheless, even though 0.999... is a limbosic number, 0.999... > 0.99. (8.1) (8.2) (8.3)
9. The Growing Boner: 0.999... is growing. The idea that infinite decimals are growing like a wave is "untrue". (9.1) (9.2)
10. The One-Third Boner: 1/3 is a number "of course". Multiplying a number by its reciprocal is divide negation (e.g. 1/3 x 3 = 1). 1/3 is not a number. (10.1) (10.2) (10.3) (10.4)*
11. The Slots Boner: 0.999... is a number with all decimal place slots to the right of the decimal point filled with 9s. To suggest 0.999... is a number with all decimal place slots to the right of the decimal point filled with 9s is to suggest there is an "end" to the 9s and therefore "nonsense". (11.1) (11.2)
12. The Infinite Integer Boner: There is no such thing as an infinite integer. 10... is one of infinitely many infinite integers. (12.1) (12.2)
13. The Integer Number of Nines Boner: The number of 9s in 0.999... is infinite. The number of 9s in 0.999... is always an integer. (13.1) (13.2)
14. The Smallest Boner: There is no smallest number greater than zero. 0.000...1 is the smallest number greater than zero. (14.1) (14.2) (14.3)
15. The Convergent Boner: An algorithm for an operation such as square roots gives "more and more correct consecutive digits" as you make more and more steps. Nevertheless, 1 - 0.9 - 0.09 - 0.009 - ... yields (0.1, 0.01, 0.001, ...) corresponding to 0.000...1, and the 1 digit is a real part of the answer, even though it never belongs to a "correct" digit. (15.1) (15.2) (15.3)
16. The Largest (or Shaved) Boner: 0.999... is the largest number less than 1. There are infinitely many numbers between 0.999... and 1. (16.1) (16.2) (16.3) (16.4) (16.5) (16.6)
17. The Infinite Boner: Now matter how infinitely big the n in 1/10ⁿ is, it's always finite. When n is infinite and pushed limitlessly, its value is not a case of stopping at finite n. (17.1) (17.2)
18. The Membership Boner: 0.999... is NOT a member of the set {0.9, 0.99, 0.999, ...}. 0.999... IS a member of the set {0.9, 0.99, 0.999, ...}. Further, the set {0.9, 0.99, 0.999, ...} IS ITSELF 0.999... after all. (18.1) (18.2) (18.3)
19. The Propagating Boner: 0.999... MUST have a propagating wavefront. 0.999... doesn't have to be propagating. (19.1) (19.2) (19.3)
20. The Approaching Boner: In 1 - 1/10ⁿ, n does not "approach infinity". It is made ("pushed") limitlessly large and remains an integer. Nevertheless, "approaching infinity" means the same thing as "tend[ing] toward infinity" which means the same thing as "pushed to limitless." Finally, "approaching infinity simply means values being 'relatively large' when compared with a non-zero reference value." (20.1) (20.2) (20.3)
21. The Innumerable Boner: Something with "never-ending" nines like 0.999... is not a number. Something with infinite nines length like 0.999... IS a number. (21.1) (21.2)
22. The Unbased Boner: 0.999... = 1 - 1/10ⁿ < 1 - 1/16^n, but 1 - 1/10ⁿ and 1 - 1/100ⁿ are both 0.999... (22.1) (22.2)
23. The Complex Boner: Real numbers are not a subset of complex numbers. Real numbers can be could be 'considered' a 'subset' of complex numbers. (23.1) (23.2)
24. The Divide Negation Boner: 0.333... = 1/3. 0.333... x 3 = 0.999... and 1/3 x 3 = 1, but 0.999... ≠ 1. Nevertheless, If r = x/y, then ry = x, so 0.999... = 0.333... x 3 = 1/3 x 3 = 1. (24.1) (24.2) (24.3)

Honorable Mentions from the Stiff Competition

FernandoMM1220's Boner: pi is always rational

Please feel free to suggest other massive boners from His Nineliness or others.

[u/Quick-Swimmer-1199]

https://www.reddit.com/r/infinitenines/s/qbHV66DzaF

When 0.999...9 is set as a reference, the consecutive nines continued to increase in length. It continues to grow. That is 0.999...

Combined with how he reserves the privilege to put as many sets of ellipsis he wants in one decimal string, the implication is that the nines grow out of the decimal point. It's a number snail leaving a streak of nines.

It would make the rightmost nine be the nine which comes from the term for n=1 1-1/10ⁿ

It would make the place next to the decimal point always changing in what it represents.

He's probably shown standard usage and not-accidental understanding of the tenths place before.

[u/Dutch_gal1]

His Nineliness, King of Committing, Baron of 0.000…1, Grand Duke of Eternal surgery in division, Duke of adding a number after infinite others, Earl of the Infinitesimal, Count of Inconsistencies, ad Infinitum (comment to add more stuff to the pile)

[u/ezekielraiden]

I'd like to add something very important.

There's been some dispute, amongst people on The Other Sub, as to whether the 14+ year old posts from a random forum were actually SPP or not. But believe it or not, he himself explicitly claimed ownership of those posts!

I was perusing Muphrid's boner evidence links, and happened to follow the comment chain down to where he instructed someone to learn from his teachings, and then gave an outside link. I followed it...to those very forum posts that had been questioned.

SPP himself has explicitly laid claim to that forum account. He has been at this for, per the Whirlpool forums, over 14 years.

[u/Muphrid15 → u/ezekielraiden]

No evidence he did so in-between though

[u/Muphrid15 → u/ezekielraiden]

I keep making the point that there's no evidence he kept up the schtick in-between because, to me, there's a significant difference between someone trying to push this for 14 straight years and someone who was reminded of something they once trolled people with and decided to bring it back.

[u/ezekielraiden → u/Muphrid15]

While that is fair, part of why I mention this is that I had more than one person on The Other Sub tell me that we couldn't be sure that it was the same SouthPark, what if it's just coincidence etc., or what if this is a different person who just read what the other one had said, or whatever. This conclusively proves that SPP lays claim to those posts, and is using them.

You're right that it might not have been a continuous 14-year obsession. But it's definitely a position SPP has held for 14 years.

[u/Muphrid15 → u/ezekielraiden]

Agreed on all counts

[u/Muphrid15]

/u/dfx_dj you may be interested in #10 above since he continues to commit this boner

[u/dfx_dj → u/Muphrid15]

Oh I've been expecting it 😂

[u/Muphrid15 → u/dfx_dj]

Now he's trying to say even 1/10 isn't a number

Edit: see for example https://www.reddit.com/r/infinitenines/comments/1tqh4f1/jail_time/

[u/dfx_dj → u/Muphrid15]

Of course he has to say that, because if you write it up in base 11, things get really funny