Geng Ouyang

14 Questions 132 Answers 0 Followers

Questions related from Geng Ouyang

Why the debates of “whether 0.9999999… equals to 1” is to be endless and fruitless ?

It is generally accepted that the existing limit theory, which would deal exclusively with "infinitesimal number forms", may operate in one of following two ways: （1） During the whole quantitative...

24 November 2020 7,243 3 View

Do we need Quantum Mathematics?

In fact, it is the fundamental defects in the work of “quantitative cognition to infinite things” that have been troubling people for thousands of years. But I am going on a different way from...

19 October 2020 993 2 View

Is there anything wrong with limit theory in present infinite set theory?

We understand from the infinite related mathematics history that in present classical mathematics (such as classical mathematical analysis and classical set theory) basing on classical infinite...

18 February 2018 3,795 2 View

Did the confusing “potential infinite” and “actual infinite” cause any cognizing difficulties in mathematics?

We understand from our infinite related science history that in present classical infinite related science system, it has been admitted that the concept of infinite is composed by both “potential...

11 January 2018 8,259 7 View

Is the barber paradox really a problem for present set theory-------what is the basic theory for one-to-one coresponding operation?

The fundamental defects in present classical infinite related science system have decided the barber paradox (one of the members of Russell’s Paradox Family) is really an unavoidable and...

21 December 2017 2,736 4 View

The Natural Number Set has more elements than the Natural Number set-------what is the basic theory for one-to-one coresponding operation ?

Just take a subset of the Natural Number Set (2,4,6, ... ,2n, ...) and they map very well on the set of all Natural Numbers (1,2,3,...,n,...). So a lot of (infinite) natural numbers (all of...

20 December 2017 7,669 42 View

Do we have “actual infinite mathematical analysis” and “potential infinite mathematical analysis” in our mathematics?

We have at least two different definitions of “infinite” (“actual infinite” and “potential infinite”) since antiquity, and these two different “infinites” with different natures unavoidably become...

31 May 2016 1,079 19 View

What defects do Zeno’s Achilles—Turtle Race Paradox and newly discovered “Paradox of Harmonic Series” disclose?

The fact is: theoretically, the present science theory system has really proved the divergence of Harmonic Series; but practically, Harmonic Series is impossible to be divergent because it is...

15 August 2015 1,766 3 View

What is philosophy of mathematics? What is it for?

1, philosophy of physics once placed a significant role to solve defects in the foundation of physics disclosed by paradoxes. 2, the existing fundamental defects (syndrome of "potential...

22 March 2015 9,246 63 View

What is limit theory, does limit theory need basic theory, what is it?

There are two “reasonable” limit operations in convergent- divergent proof of Harmonious Series: 1＋1/2 ＋1/3＋1/4＋．．．＋1/n ＋．．．（1） =１＋1/2 ＋（1/3＋1/4...

13 December 2014 4,205 4 View

The number forms with “Half Archimedean Property" ？

In mathematics, there is a kind of number carriers with cognizable quantitative properties (such as imaginary number, fuzzy number, infinitesimal variables and monads … in present mathematics)";...

01 January 1970 8,804 0 View

So many paradox family members in present set theory?

As The First Generation of Infinite Set Theory is based on present classical infinite theory system, contradictory concepts of "potential infinite” and “actual infinite" make people unable to...

01 January 1970 1,379 2 View

The Exactly Same Fundamental defects in Present classical Infinite Set Theory and Mathematical Analysis?

We have understood from the studies of infinite related mathematics’ history that present classical infinite theory system is based on the concepts of "potential infinite and actual infinite",...

01 January 1970 1,636 3 View

What’s wrong with one to one correspondence theory and operations? Why?

As "the first generation of infinite set theory" is based on present classical infinite theory system, contradictory concepts of "potential infinite” and “actual infinite" make people unable to...

01 January 1970 3,319 3 View