pull down to refresh
25 sats \ 6 replies \ @didiplaywell 17 Jun \ on: 0=1, Prove me wrong science
The catch is in the 6th step, where the extraction of the (-) is made so that it stealthy breaks the assumed parity of the series:
in 1 - (1 - 1 + 1 - 1 + ... ) there's a hidden (+ 1) at the end, so the series should actually look like:
1 - (1 - 1 + 1 - 1 + ... + 1 - 1 + 1)
so close!
but the explanation is not quite right
reply
I could express it like so:
The proposition starts with ( 1 - 1 ) + ( 1 - 1 ) + ( 1 - 1 ) = 0
Then expands it, but it does so ignoring the last part. We can make the same infinite expansion keeping the representation of the last part, like so:
( 1 - 1 ) + ( 1 - 1 ) + ... + ( 1 - 1 ) = 0 , instead of ( 1 - 1 ) + ( 1 - 1 ) + ... = 0
If we take the (-1) from the new representation, we can see that in reality what we get is:
1 - (1 - 1 + 1 - 1 + ... + 1 - 1 + 1) = 0
while the 1 - (1 - 1 + 1 - 1 + ... ) = 0 notation makes it look like if the series ends, in the infinite, like
1 - (1 - 1 + 1 - 1 + ... + 1 - 1 ) = 0
Which is not the true form of the first proposed series.
reply
nailed it!
it's in the number of terms!
reply
Awesome! Thank you for making this fun and for the bounty, much appreciated :)
reply
reply
Finally :')