User Ivan Hieno

6 votes

1 answer

342 views

An infinite list of irrational numbers from one irrational number.

elementary-set-theory

asked Jul 31, 2017 at 15:02

6 votes

2 answers

657 views

I've been told that the use of ellipsis in "$S = x_1 + x_2 + x_3 + x_4 + \dots$" is ambiguous and meaningless. Is it?

notation

asked Oct 4, 2018 at 18:11

3 votes

2 answers

310 views

Cardinality of the irrational numbers vs the rationals

elementary-set-theory proof-verification

asked Jan 26, 2018 at 13:49

3 votes

5 answers

3k views

Is a surjection from the natural numbers enough to show that a set is countable?

elementary-set-theory

asked Mar 2, 2017 at 13:34

2 votes

1 answer

203 views

How many segments are there in the Cantor set?

general-topology

asked Apr 6, 2017 at 16:09

2 votes

1 answer

170 views

Can we define the Cantor Set in this way?

real-analysis elementary-set-theory notation cantor-set

asked Apr 18, 2017 at 14:09

2 votes

3 answers

187 views

Equality of irrational numbers and the need for a proof

elementary-set-theory

asked Mar 30, 2018 at 21:05

2 votes

1 answer

98 views

What is this curve called?

probability statistics economics

asked Jul 11, 2018 at 14:17

2 votes

2 answers

202 views

How can we prove that there is a finite set for every infinite set, in an infinite list of infinite sets.

elementary-set-theory

asked Oct 17, 2018 at 13:51

2 votes

2 answers

223 views

Does an element of a set, that can't be in a list, make that set uncountable?

elementary-set-theory

asked Jan 8, 2019 at 15:30

1 vote

1 answer

70 views

Defining an infinite list of irrational numbers

elementary-set-theory

asked Apr 7, 2018 at 12:23

1 vote

3 answers

1k views

Can a set be uncountable if it is the union of an uncountable quantity of finite objects?

elementary-set-theory

asked Feb 17, 2017 at 14:50

1 vote

2 answers

185 views

Is this a paradox in the Cantor set?

elementary-set-theory

asked Apr 20, 2017 at 14:00

1 vote

2 answers

493 views

Is an infinite set of disjoint subsets of the natural numbers with an infinite number of members each, countable or uncountable.

elementary-set-theory

asked Mar 10, 2017 at 0:48

1 vote

2 answers

114 views

How do you read this in words?

elementary-set-theory notation

asked Sep 17, 2016 at 13:40

0 votes

1 answer

114 views

Is this a valid set?

elementary-set-theory

asked Jan 29, 2017 at 15:28

0 votes

1 answer

80 views

Is this a valid representation of pi?

notation pi

asked Feb 6, 2017 at 16:21

0 votes

1 answer

2k views

Is the empty set always a member of the universal set?

elementary-set-theory

asked Mar 8, 2017 at 15:17

0 votes

2 answers

1k views

Can we prove that the set of irrational numbers is uncountable without Cantor? [duplicate]

elementary-set-theory

asked Mar 14, 2017 at 10:36

0 votes

2 answers

49 views

Are these formulas proper notation?

notation

asked Apr 16, 2017 at 16:24

0 votes

1 answer

37 views

Do I need parenthesis in this equation or is the hierarchy of the symbols enough?

elementary-set-theory notation

asked Jan 6, 2019 at 18:18

0 votes

2 answers

55 views

When can we say that something is equal to, rather than something approaches a limit?

convergence-divergence

asked Oct 14, 2018 at 12:25

-1 votes

1 answer

114 views

Will Cantor's diagonalization always produce a set that is not on the list?

elementary-set-theory

asked Jul 9, 2018 at 14:46

-2 votes

3 answers

90 views

Does the diagonal proof lack rigor?

elementary-set-theory

asked Jun 1, 2018 at 14:39

-2 votes

2 answers

53 views

Infinite regression and the limits of the density of rational numbers vs irrational numbers.

elementary-set-theory

asked Oct 16, 2018 at 11:13

-2 votes

2 answers

155 views

Uncountable Sets and an Infinite Real Number Game

elementary-set-theory

asked Jul 21, 2018 at 14:12

-3 votes

3 answers

698 views

Can we find an injection from the set of irrational numbers to a list of rational numbers that terminate

elementary-set-theory

asked Jan 29, 2018 at 3:27

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27 Questions

An infinite list of irrational numbers from one irrational number.

I've been told that the use of ellipsis in "$S = x_1 + x_2 + x_3 + x_4 + \dots$" is ambiguous and meaningless. Is it?

Cardinality of the irrational numbers vs the rationals

Is a surjection from the natural numbers enough to show that a set is countable?

How many segments are there in the Cantor set?

Can we define the Cantor Set in this way?

Equality of irrational numbers and the need for a proof

What is this curve called?

How can we prove that there is a finite set for every infinite set, in an infinite list of infinite sets.

Does an element of a set, that can't be in a list, make that set uncountable?

Defining an infinite list of irrational numbers

Can a set be uncountable if it is the union of an uncountable quantity of finite objects?

Is this a paradox in the Cantor set?

Is an infinite set of disjoint subsets of the natural numbers with an infinite number of members each, countable or uncountable.

How do you read this in words?

Is this a valid set?

Is this a valid representation of pi?

Is the empty set always a member of the universal set?

Can we prove that the set of irrational numbers is uncountable without Cantor? [duplicate]

Are these formulas proper notation?

Do I need parenthesis in this equation or is the hierarchy of the symbols enough?

When can we say that something is equal to, rather than something approaches a limit?

Will Cantor's diagonalization always produce a set that is not on the list?

Does the diagonal proof lack rigor?

Infinite regression and the limits of the density of rational numbers vs irrational numbers.

Uncountable Sets and an Infinite Real Number Game

Can we find an injection from the set of irrational numbers to a list of rational numbers that terminate