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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 on theme: "WHAT IS A PARADOX ?. ZENO OF ELEA Circa 490 BC-Circa 430 BC Eleatic school of Parmenides Inventor of dialectic."— Presentation transcript:

1 WHAT IS A PARADOX ?

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

11 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 100+10 +1+ 0,1 + 0,01 + 0,001 + 0,0001............ WILL ACHILLE PASS THE TORTOISE?

12 ZAPPER AND THE SOFT PART OF THE BREAD 1-21-2 1-41-4 1-81-8 1 __ 16 THE DISTANCE BETWEEN ZAPPER AND THE CRUMB IS 1 M WHAT IS THE SUM OF 1/2 +1/4 + 1/8 + 1/16 +1/32............

13 ZAPPER AND THE SOFT PART OF THE BREAD 1-31-3 1-91-9 1-21-2 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............

14 ZAPPER AND THE SOFT PART OF THE BREAD 2-32-3 2-92-9 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?

15 ZAPPER AND THE SOFT PART OF THE BREAD 3-43-4 3 __ 64 THE DISTANCE BETWEEN ZAPPER AND THE CRUMB IS 1 M WHAT IS THE SUM OF 3/4 +3/16 + 3/64............ 3 __ 16

16 SUMMARY

17 WILL ACHILLE REACH THE TORTOISE? ACHILLE'S SPEED: 14 M/S WHAT IS THE SUM OF 100+10 + 0,1 + 0,01 + 0,001 + 0,0001........?.. WHEN WILL ACHILLE PASS THE TORTOISE?

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