#Prove this as false... [I couldn't]

58 messages · Page 1 of 1 (latest)

naive flame
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Please give me step by step proof. <@&286206848099549185>

floral raptorBOT
prime harbor
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0/0 is indefinite

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more or less undefined

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if 0.0...01 is zero, then you cant exactly divide with it

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as you have established in z=0=0.0...01

naive flame
prime harbor
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it's not the double slit experiment in the sense that there is a definite value equivelent to 0/0

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also both have been proven to what they are

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double slit = light is ambiguous that it behaves like both a particle and a wave (i dont see how this is related)

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the 0/0 is undefined and indeterminate in its part because it has been proven to be so

naive flame
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Oka what is 0.0000001/0.0000001 (infinite no. of zeros)

prime harbor
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for the most part in the "proof", emphasis on " ",

prime harbor
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as you have established that 0.0 repeating 1 is 0

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wait do you have a background on limits

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perhaps it would be better to relay it that way

naive flame
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what woud would you do before proving it...

prime harbor
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$

naive flame
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we have no proof for 0! = 1

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we just take it as it is

prime harbor
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nCr, nPr

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combinatorics stuff

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so basically, you have zero things

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you only have one way to arrange those zero things

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ergo, 0! is 1

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simple enough

naive flame
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1 = 0.001/0.001 = 0.00001/0.00001 = ...

prime harbor
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both values are equivalent yes

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i dont see where youre going

naive flame
prime harbor
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you see, that's where limits come in

naive flame
prime harbor
naive flame
prime harbor
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i.e. very small quantities

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close but not quite zero

naive flame
prime harbor
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the 0/0 has been proved through contradiction using limits

prime harbor
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you even somewhat used limits in your proof

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you claimed 0/0 = 1, while also 0/0 = 0

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and somehow concluded that 0/0 = 1 =0

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which is false

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as zero is not one, nor one is zero

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therefore, the logical conclusion is that 0/0 is not equal to zero, nor it is equal to one

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it is undefined

naive flame
prime harbor
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also you have already proved it

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that 0≠1

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and the fact that zero is undefined

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but you havent arrived to the correct conclusion

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as you have stated 0 = 1

frozen wing
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in these type of equations there is always a (already mentioned above) 0/0 division that is hidden via variables

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but if you want some real weird equation here is one

1 = 0,99999...

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and this is provable