Zeno’s Achilles--Turtle Race Paradox is the greatest paradox:
1, it has never been solved and suspended for more than 2500 years.
2, it is a huge paradox family with so many family members.
3, its family member has been proven by the strictest mathematical way:
In present mathematics, it is “scientific and reasonable” to use the well known Oresme's “bracket computing operation” of creating infinite items each greater than 1/2 or 1 or 100 or 1000000000000000 or 1000000000000000000000000000000 or ... from the Harmonic Series to change the Un--->0 Infinite Harmonic Series into a “Vn ＞any positive constant” infinite series (such as the positive constant of 1000000000000000000000000000000):
1 + 1/2 + 1/3 + 1/4 + ... + 1/n + ... ＞ 1/2 + 1/2 + 1/2 + 1/2 + 1/2 + …--->∞
1 + 1/2 + 1/3 + 1/4 + ... + 1/n + ... ＞ 1 + 1+ 1 + 1 + 1 + 1 + 1 + …--->∞
1 + 1/2 + 1/3 + 1/4 + ... + 1/n + ... ＞ 100 + 100 + 100 + 100 + 100 + …--->∞
1 + 1/2 + 1/3 + 1/4 + ... + 1/n + ... ＞ 1000000000000000 + 1000000000000000 +1000000000000000 + 1000000000000000 + …--->∞
…
Five of my published papers have been up loaded onto RG to answer such questions:
1，On the Quantitative Cognitions to “Infinite Things” (I)
2，On the Quantitative Cognitions to “Infinite Things” (II)
3，On the Quantitative Cognitions to “Infinite Things” (III)
4 On the Quantitative Cognitions to “Infinite Things” (IV)
5 On the Quantitative Cognitions to “Infinite Things” (V)
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