HEY EVERYONE! So two people managed to see my livestream and sorry if it seemed quite or short, I’ve never streamed on my phone via a screen recording app, so ɪ was getting used to it, my next stream will have my voice, and will be longer👍
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Ɪ know I don’t get political on here much, but Charlie Kirk was a great man! He didn’t deserve to be murdered!
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Hey!
Can someone much smarter than me please like explain how this is wrong, I’m no mathematician ɪ just finished algebra 1
I’m just a kid who kinda hated the you can’t decide by zero thing so ɪ tried seeing a way around it,
if it works kinda cool but unlikely, if it doesn’t at least ɪ know
Also yes, ɪ had ai write this next part cause ɪ was paranoid I’d get lost in thought and say something ɪ didn’t really mean
I’ve been exploring a new way to handle division by zero consistently, and thought of something to make it work. Here’s what I came up with:
1️⃣ Introducing two new numbers
To deal with tricky fractions, I invented two special objects:
• U — the “undefined number” that represents division by zero.
• Rule: a/0 = a \cdot U
• Think of it as a “wildcard infinity” — it carries the idea of division by zero without breaking arithmetic.
• N — the “null factor” that represents zero in a fraction: 0/k = N for any nonzero k.
• It behaves mostly like zero but has a special interaction with U.
⸻
2️⃣ The magic cancellation
The core of my system is a simple but powerful rule:
U \cdot N = 1
This makes multiplication deterministic. For example:
\frac{3}{0} \cdot \frac{0}{386} = (3 \cdot U) \cdot N = 3 \cdot (U \cdot N) = 3
Without this rule, the result could be ambiguous, but now it’s perfectly predictable.
⸻
3️⃣ Addition rules
I defined addition so it behaves intuitively:
• U dominates: U + 7 = U → like an infinity, adding normal numbers doesn’t change it.
• N behaves like zero: 7 + N = 7
• U + N = U → undefined still wins.
This keeps addition predictable and simple.
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4️⃣ Multiplication rules
• Ordinary × ordinary → normal
• N × ordinary → 0
• U × ordinary → scales U (e.g., 3 \cdot U = 3U)
• U × N → 1 → the “magic cancellation”
I like to think of it this way:
• N is a “ghost zero” that sometimes disappears
• U is a “wildcard infinity”
• Together, they cancel perfectly
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5️⃣ Why it works
1. Every fraction with zero in the denominator becomes a U-type object.
2. Every fraction with zero in the numerator becomes an N-type object.
3. Multiplication between U and N is defined to make everything deterministic.
4. All other operations behave normally.
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6️⃣ Quick examples
1. \frac{5}{0} \cdot \frac{0}{99} = 5U \cdot N = 5
2. 7 + N = 7
3. 4 \cdot U = 4U
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In short, I’ve extended the real numbers with just two new objects — U and N — along with a few rules, to make division by zero something we can work with consistently. It’s a minimal system, but once you define how U and N interact, everything else falls into place.
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21 July 2024