@[email protected] to [email protected] • edit-26 months agoSince Pi is infinite and non-repeating, would that mean any finite sequence of non-repeating numbers should appear somewhere in Pi?message-square152fedilinkarrow-up1238
arrow-up1238message-squareSince Pi is infinite and non-repeating, would that mean any finite sequence of non-repeating numbers should appear somewhere in Pi?@[email protected] to [email protected] • edit-26 months agomessage-square152fedilink
minus-squarecosecantphi [he/him, they/them]linkfedilinkEnglish1•edit-26 months agoMath kind of relies on assumptions, you really can’t get anywhere in math without an assumption at the beginning of your thought process.
minus-squareमुक्तlinkfedilink1•6 months agoObviously. But still maths avoids stuff like “I assume the answer is X. QED.”
minus-squarecosecantphi [he/him, they/them]linkfedilinkEnglish1•edit-26 months agoRight and the point of defining this number as a non-repeating infinite sequence of 0s and 1s is just to show that non-repetition of digits alone is not sufficient to say a number contains all finite sequences.
assumption ≠ definition
Math kind of relies on assumptions, you really can’t get anywhere in math without an assumption at the beginning of your thought process.
Obviously. But still maths avoids stuff like “I assume the answer is X. QED.”
Right and the point of defining this number as a non-repeating infinite sequence of 0s and 1s is just to show that non-repetition of digits alone is not sufficient to say a number contains all finite sequences.