1 If “X--->0 number forms” are infinitesimals, are they “potential infinitesimals” or “actual infinitesimals” and why? If they are “potential infinitesimals”, how to cognize them quantitatively? If they are “actual infinitesimals”, how to cognize them quantitatively?
2 How does "limit theory" deal with "potential infinite related mathematical contents (such as potential infinitesimal)" or "actual infinite related mathematical contents (such as actual infinitesimal)”? Can we really produce infinite items each bigger than 1/2, or 100, or 1000000, or 1000000000000000000,…by that “Brackets-Placing Method” with limit idea and theory from Un--->0 items in Harmonic Series and turn Harmonic Series into a “Vn--->any positive constants” infinite series (with infinite items each bigger than any positive constants, such as 100000000000000000000000000000)?
Five of my published papers have been up loaded onto RG to answer such questions:
1，On the Quantitative Cognitions to “Infinite Things” (I)
https://www.researchgate.net/publication/295912318_On_the_Quantitative_Cognitions_to_Infinite_Things_I
2，On the Quantitative Cognitions to “Infinite Things” (II)
https://www.researchgate.net/publication/305537578_On_the_Quantitative_Cognitions_to_Infinite_Things_II
3，On the Quantitative Cognitions to “Infinite Things” (III)
https://www.researchgate.net/publication/313121403_On_the_Quantitative_Cognitions_to_Infinite_Things_III
4 On the Quantitative Cognitions to “Infinite Things” (IV)
https://www.researchgate.net/publication/319135528_On_the_Quantitative_Cognitions_to_Infinite_Things_IV
5 On the Quantitative Cognitions to “Infinite Things” (V)
https://www.researchgate.net/publication/323994921_On_the_Quantitative_Cognitions_to_Infinite_Things_V
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