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Irational = infinite non repeating decimals
Decimal number can't be put on a list
Decimal numbers represent a bigger infinity than whole numbers
Infinity of irrationals is greater than the infinity of fractions
Continium hypothesis can't be proven wrong or right
"Mathemagic":
57,683
1) 57,000^2
2) + 683^2
3) + 57,000 x 683 x 2
Made numbers into words
"A clever way to estimate enormous numbers":
Power of 10
Overestimates and underestimates balance each other to produce an estimation which is usually 1 order of magnitudse to the actual answer
"Infinity is bigger than you think - Numberphile":
Decimals are uncountable (unlistable)
Different types of infinity
Decimals are a bigger type of infinity
"17 and Sudoku Clues - Numberphile":
Seperate the rows into families
The anomolies are the hints
So 17 is the fewest amount of clues needed to get a 1 answer only sudoku
"43,252,003,274,489,856,000 Rubik's Cube Combinations - Numberphile":
8! (8 factorial) for corners 8^3
12! (12 factorial) for sides 12^2
"How to always win at Dots and Boxes - Numberphile":
1st player wants there to be an even number of long chains
2nd player wants there to be an odd number of long chains
To counter player 1 you play a line adjacent to their line if player 1 is threatening to make 2 chains
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