WHAT IS A PARADOX ?. ZENO OF ELEA Circa 490 BC-Circa 430 BC Eleatic school of Parmenides Inventor of dialectic.

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Presentation transcript:

WHAT IS A PARADOX ?

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

ACHILLE AND THE TORTOISE NO CHANCE A B THE TORTOISE START 100 M IN FRONT OF ACHILLE 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 ? HOW MANY POINTS THERE ARE IN A SEGMENT ? HOW BIG IS A POINT? WHAT IS THE SUM OF ,1 + 0,01 + 0, , WILL ACHILLE PASS THE TORTOISE?

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

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

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

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

SUMMARY

WILL ACHILLE REACH THE TORTOISE? ACHILLE'S SPEED: 14 M/S WHAT IS THE SUM OF ,1 + 0,01 + 0, , ?.. WHEN WILL ACHILLE PASS THE TORTOISE?