25-01-09 One One onto relation between (0,1) and R

Give a one one onto relation between (0,1) and R

Does this prove that the number of Reals is same as the number of numbers in the interval (0,1) ?

12 Answers

9
Celestine preetham ·

y=tanpi(x-.5)

but actually u cant say ∞=∞ hence false

24
eureka123 ·

If I am not mistaken,this is the most controversial question in the world of mathematics...........It involves the number of infinite reals b/w 0 an 1...................I wolud not like to answer this question.......But I would want that everyone should read this page.......http://www.ii.com/math/ch/.....

24
eureka123 ·

Quantum hypothesis:Any set of real numbers is either countable or can be put in one-to-one correspondence with the entire set of real numbers.

9
Celestine preetham ·

yeah it depends upon our realisation we can assume it either to be equal or unequal.

i preffered unequal cos of the range difference

24
eureka123 ·

have u seen that link????just go through it and u would know how big this question iss!!!!!!!!!!!

9
Celestine preetham ·

yes i saw that ..........

its jus a hypothesis u need not go by that trust ur inner feeling thats all

i jus managed to covince myself that they r unequal so wont change my idea ;)

1
RAY ·

3
msp ·

A relation such that A is {x}=limn→∞10n{x}

1
pankaj sachan ·

log (1/x - x) for x > 0

but we can not compare infinity. if we able o compare infinity then it will lost its existence.

in my opinion we can not say that nos of real are same as nos in (0, 1)

1
mkagenius ·

actually there r infinite reals between any 2 no.

for example between 5 and 5+h ;where h is very small;

no one can count it ;(bcoz there r infinite no.s)

THen only foolish ppl talk about comparing it(except us :D )

There is no question of cmparing something which we cant count;

10100 viruses will cause u same problem as 101000000000000000 viruses;

i hope u understand my feeling;

62
Lokesh Verma ·

guys there is a one one relationship..

I understand that celestine and mkagenius dont appreciate this fact right now..

But atleast the good thing is that celestine did give a good one one onto relationship :)

11
Subash ·

how should we get the relationship that celestine got

i mean how can we check if it is oneone onto

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