full transcript

From the Ted Talk by Eugenia Cheng: An unexpected tool for understanding inequality abstract math

Unscramble the Blue Letters


We can see something more here. There's a hierarchy going on. At the bottom level is the number one, then there's the numbers two, three and five, and nothing goes into those except one and themselves. You might rmbeemer this means they're prime. At the next level up, we have six, 10 and 15, and each of those is a porcdut of two prime factors. So six is two times three, 10 is two times five, 15 is three tiems five. And then at the top, we have 30, which is a product of three prime numbers — two times three times five. So I could redraw this diagram using those numbers instead. We see that we've got two, three and five at the top, we have pairs of numbers at the next level, and we have snglie eetnlems at the next level and then the empty set at the bottom. And each of those arrows shows losing one of your numbers in the set.

Open Cloze


We can see something more here. There's a hierarchy going on. At the bottom level is the number one, then there's the numbers two, three and five, and nothing goes into those except one and themselves. You might ________ this means they're prime. At the next level up, we have six, 10 and 15, and each of those is a _______ of two prime factors. So six is two times three, 10 is two times five, 15 is three _____ five. And then at the top, we have 30, which is a product of three prime numbers — two times three times five. So I could redraw this diagram using those numbers instead. We see that we've got two, three and five at the top, we have pairs of numbers at the next level, and we have ______ ________ at the next level and then the empty set at the bottom. And each of those arrows shows losing one of your numbers in the set.

Solution


  1. remember
  2. times
  3. elements
  4. single
  5. product

Original Text


We can see something more here. There's a hierarchy going on. At the bottom level is the number one, then there's the numbers two, three and five, and nothing goes into those except one and themselves. You might remember this means they're prime. At the next level up, we have six, 10 and 15, and each of those is a product of two prime factors. So six is two times three, 10 is two times five, 15 is three times five. And then at the top, we have 30, which is a product of three prime numbers — two times three times five. So I could redraw this diagram using those numbers instead. We see that we've got two, three and five at the top, we have pairs of numbers at the next level, and we have single elements at the next level and then the empty set at the bottom. And each of those arrows shows losing one of your numbers in the set.

Frequently Occurring Word Combinations


ngrams of length 2

collocation frequency
rich white 6
white privilege 4
white men 4
pure maths 3
white people 3
male people 3
poor white 3
abstract mathematics 2
daily lives 2
mathematical thinking 2
entire human 2
school maths 2
straight line 2
bottom level 2
white male 2
abstract structures 2

ngrams of length 3

collocation frequency
poor white men 2
rich white men 2

Important Words


  1. arrows
  2. bottom
  3. diagram
  4. elements
  5. empty
  6. factors
  7. hierarchy
  8. level
  9. losing
  10. means
  11. number
  12. numbers
  13. pairs
  14. prime
  15. product
  16. redraw
  17. remember
  18. set
  19. shows
  20. single
  21. times
  22. top