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A MODIFIED VERSION OF THE SUPERTASK

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IMAGINE AN ANT THAT WANTS TO GET TO ITS HOLE THAT IS ONE METER AWAY FROM IT SELF, IT WOULD FIRST WALK 1/2 A METER THEN 1/4 OF A METER ETC, IT WOULD NEVER GET THERE, BUT WHEN EVER THE ANT REACHES A MILESTONE LIKE 1/2 A METER, IT WOULD SPEED UP 2 TIMES EVENTUALLY THE ANT WOULD HAVE NEDDED TO WALK AN ∞ AMOUNT OF THOSE MILESTONES AND IT WOULD NEED TO WALK 1 OVER 2 TO THE NEGATIVE INFINITY POWER TO GET THERE, IT STILL CANT BE CAUSE IT REACHES ANOTHER MILESTONE OF 1 OVER 2 TO THE -Ω+1 POWER, ETC, AT THIS POINT, THE ANT HAS GAINED INFINITE SPEED, BUT IT STILL CAN NOT REACH PASS 1 METER, IS THOS A PARADOX OR PLZ SOLVE IT!

Guest Apr 23, 2017
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5+0 Answers

#1
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No, there is no paradox. When you take "Calculus", you will learn the concept of a "Limit". Look at it this way: 1 meter =1/2 + 1/4 + 1/8 + 1/16........etc. But the terms [1/4 + 1/8 + 1/16........to infinity]=1/2. So, your 1 meter =1/2 + 1/2 = 1 meter!.

Guest Apr 23, 2017
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IGNORE THE FACT THAT IT IS A THING AND BTW I DO KNOW THAT TH LIMIT IS LIKE THAT...

Guest Apr 24, 2017
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After what number of steps would the ant actually reach infinite speed ?? 🤔

hectictar  Apr 23, 2017
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YOU WOULD AFTER INFINTE STEPS GET TO INFINTE SPEED?

Guest Apr 24, 2017
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The ant will never actually achieve infinite speed if it requires infinite steps to reach...

But why do you say that the ant can't reach past 1 meter?

hectictar  Apr 24, 2017

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