What is ∞ - ∞?

#Shorts Proof that infinity minus infinity is the transreal number nullity.

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[transmathematica]

The Examples playlist is made up of self-contained videos which illustrate some aspect of transmathematics. They are also linked from the Description of other videos. Leave a comment on any video or on the Community tab if you want me to do a specific calculation for you.

Examples Playlist:

[mbapum]

1/0 also approaches negative infinity. we can see this in the graph yx =1, or y=1/x

[Yrb_Animations]

1. अनन्तस्य परिभाषा (Definition of Infinity):
"अनन्त" इत्यस्य अर्थः अस्ति - अन्तस्य अभावः।
(Ananta means the absence of an end.)
(अनंत का अर्थ है - अंत का अभाव।)

2. गणिते अनन्तस्य स्वरूपम् (Nature of Infinity in Mathematics):
अनन्तं संख्या नास्ति, अपितु असीमत्वस्य संकल्पः।
(Infinity is not a number but a concept of boundlessness.)
(अनंत कोई संख्या नहीं है, बल्कि असीमितता की अवधारणा है।)

3. अनन्तात् अनन्तं वियोजयन् (Subtracting Infinity from Infinity):
यदि अनन्तात् अनन्तं वियोजयामः, तत् अनिर्दिष्टं भवति।
(If we subtract infinity from infinity, it becomes undefined.)
(यदि हम अनंत में से अनंत को घटाते हैं, तो यह अपरिभाषित हो जाता है।)

4. उदाहरणम् (Example):

\lim_{x \to \infty} (x - x) = 0

\lim_{x \to \infty} (x^2 - x) = \infty ] (कस्मिंश्चित् प्रसंगे फलम् शून्यम्, अन्यस्मिन् प्रसंगे अनन्तं भवति।)
(In one context, the result is zero, while in another, it is infinity.)
(किसी संदर्भ में परिणाम शून्य होता है, जबकि दूसरे में अनंत।)

5. भारतीय दार्शनिक दृष्टिः (Indian Philosophical Perspective):
वेदेषु अनन्तस्य वर्णनं ब्रह्माण्डस्य चक्राय कृतम्।
(In the Vedas, infinity is described as the eternal cycle of the universe.)
(वेदों में अनंत का वर्णन ब्रह्मांड के चक्र के रूप में किया गया है।)

6. निष्कर्षः (Conclusion):
अनन्तं न कदापि समाप्त्यां गच्छति, यतोहि अनन्तं स्वयं अन्तस्य बाधकम्।
(Infinity can never be ended because it itself prevents the end.)
(अनंत कभी समाप्त नहीं हो सकता क्योंकि यह स्वयं अंत का विरोध करता है।)

In three languages

[transmathematica]

By definition infinity is given by ∞ = 1/0 and nullity is given by Φ = 0/0. Now infinity minus infinity is: ∞ - ∞ = (1/0) - (1/0) = (1-1)/0 = 0/0 = Φ.

[asgorne]

Only works for indefinite infinity I believe. Uncountable only has an uncomprehensible value whereas indefinite has no/every value kinda

[Nulrulru_]

that 1/0 can be anything like 2/0, 3/0, 5/0, 69/0

[AldrichColinayo]

infinity plus infinity is 16 thats not hard

[leealex]

by your transreal arithmetic
∞ - ∞ = (1/0) - (1/0)= (2X1)/(2X 0) - (1/0)
= (2/0) - (1/0)
=1/0
=∞

[AlexBoeriu]

the concept of infinity its abstract, one might be bigger or smaller then the other, so def the asnwer is not 0 for plebs

[macygreat]

∞ tutorial!
Go to number/symbol keyboard
Select the button with =\<
Hold =
The options will be ≈, ∞, & ≠
Swipe left
If your on samsung sorry:(

[ronsamuelmanlongat]

what is infinity minus infinity? some people think it's undefined or undetermined. but let's just calculate it. infinity minus infinity equals one over zero minus one over zero equals ¹-¹/⁰ = zero divided by zero equals nulity.

[ImpossibleEvan]

Why are we using phi as 0/0 when it is just 1,

[manavgajbhiye]

I am still wondering why the answer is not 1 while it should be always right??

[theguywhodoesart]

if you cut infinite in half, it would still be infinity. Well, our brains can’t visualize this. Like for example, think of infinite amount of trash cans in-front of you. Can you image that..? No. You cannot. That’s because our brains cannot visualize it. Like I said. Imagine you’re in a hotel. That has an infinite amount of rooms. Each room holds a 3/2 or 1/1 each year, it grows. And it never stops. Just try to image that. Can you? No. So it would actually equal : ♾️-♾️=♾️. That’s your answer.

[EnlightenedReliefOreoLover]

∞ - ∞ = (1/0) - (1/0) = (1 - 1)/0 = 0/0 = Φ

[RTGAE]

So does that mean Nullity+Inf=Infinity because 0/0+1/0=(0+1)/0=1/0=inf

[RSLT]

😮 Interesting. Seems very wrong, but interesting! Liked and subscribed hoping to see more clarification.

[melakhi.]

1/0 isnt really infinity, cause 0×infinity is undefined first of all and secondly 1/0 approaches both negative and positive infinity. Cant use natural rules when you're dealing with undefined numbers

[Handerbudd]

So if 0/0=nullity, can we say like with imaginary number 2/0=2(nullity), or x/0=x(nullity)

[Daenerysdepietro]

Lets never minus never!
?-?=???
0|π÷1230/
K3
?-?=unfinite