The suspended “infinite related paradoxes” in analysis and the “infinite related paradoxes” in set theory used to be studied and discussed separately since ancient times, it used to be regarded that they have been nothing to do with each other.
But, if putting all the suspended “infinite related paradox families” in analysis and set theory together, we discover immediately that they are in fact forming an “‘infinite paradox’ symptom complex” in present infinite related areas of mathematics disclosing exactly the same fundamental defects in present infinite related science and mathematics.
Then, we discover a new way to study and solve the fundamental defects in present infinite related science and mathematics disclosed by this “‘infinite paradox’ symptom complex” -------a new working field is waiting to be opened up.
Thank you for your idea dear Dr. Peter Breuer,
Would you please be kind enough to tell me why “no where no”?
Yous sincerely ,
Geng Ouyang
Thank you for your idea dear Dr. F. O. Farid,
How do you think of the newly discovered Harmonic SeriesParadox:
producing infinite items (numbers) each bigger than 1/2 or 100 or 1000000000000000 or 1000000000000000000000000000000 or… from the Harmonic Series 1, 1/2, 1/3, ... by the operation of "bracketing” with limit theory and turn the Un--->0 Harmonic Series into a “Vn ---> any positive constants” infinite series with infinite items each bigger than any positive constants (such as 100000000000000000000000000000)？
Yous sincerely ,
Geng Ouyang
Can we really produce infinite items (numbers) each bigger than 1/2 or 100 or 1000000000000000 or 1000000000000000000000000000000 or… from the Harmonic Series 1, 1/2, 1/3, ... by the operation of "bracketing” with limit theory and turn the Un--->0 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)
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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