WHAT IS A PARADOX WHAT IS A PARADOX

ZENO OF ELEA Circa 490 BC-Circa 430 BC Eleatic school of Parmenides Inventor of

ACHILLE AND THE TORTOISE HOW MANY POINTS THERE ARE IN A SEGMENT ? HOW

ZAPPER AND THE SOFT PART OF THE BREAD 1 2 THE DISTANCE BETWEEN ZAPPER

ZAPPER AND THE SOFT PART OF THE BREAD 1 3 1 9 1 __

ZAPPER AND THE SOFT PART OF THE BREAD 2 3 2 9 2 __

ZAPPER AND THE SOFT PART OF THE BREAD 3 4 THE DISTANCE BETWEEN ZAPPER

WILL ACHILLE REACH THE TORTOISE? ACHILLE'S SPEED: 14 M/S WHAT IS THE SUM OF

Slides: 22

Download presentation

WHAT IS A PARADOX ?

ZENO OF ELEA Circa 490 BC-Circa 430 BC Eleatic school of Parmenides Inventor of dialectic

ACHILLE AND THE TORTOISE HOW MANY POINTS THERE ARE IN A SEGMENT ? HOW BIG IS A POINT? WHAT IS THE SUM OF 100+10 +1+ 0, 1 + 0, 001 + 0, 0001. . . WILL ACHILLE PASS THE TORTOISE? B A THE TORTOISE START 100 M IN FRONT OF ACHILLE IS TEN TIME FASTER AS THE TORTOISE (if the tortoise run 10 m Achille will run 100 m) WHEN ACHILLE HAVE RUN 100 M WHERE IS THE TORTOISE ? NO CHANCE

ZAPPER AND THE SOFT PART OF THE BREAD 1 2 THE DISTANCE BETWEEN ZAPPER AND THE CRUMB IS 1 M WHAT IS THE SUM OF 1/2 +1/4 + 1/8 + 1/16 +1/32. . . 1 4 1 8 1 __ 16

ZAPPER AND THE SOFT PART OF THE BREAD 1 3 1 9 1 __ 27 THE DISTANCE BETWEEN ZAPPER AND THE CRUMB IS 1 M WHAT IS THE SUM OF 1/3 +1/9 + 1/27 + 1/81. . . 1 2

ZAPPER AND THE SOFT PART OF THE BREAD 2 3 2 9 2 __ 27 THE DISTANCE BETWEEN ZAPPER AND THE CRUMB IS 1 M WHAT IS THE SUM OF 2/3 +2/9 + 2/27+ 2/81. . . CAN WE ANSWER THE PREVIOUS QUESTION?

ZAPPER AND THE SOFT PART OF THE BREAD 3 4 THE DISTANCE BETWEEN ZAPPER AND THE CRUMB IS 1 M WHAT IS THE SUM OF 3/4 +3/16 + 3/64. . . 3 3 __ __ 16 64

SUMMARY

WILL ACHILLE REACH THE TORTOISE? ACHILLE'S SPEED: 14 M/S WHAT IS THE SUM OF 100+10 + 0, 1 + 0, 001 + 0, 0001. . . . ? . . WHEN WILL ACHILLE PASS THE TORTOISE?