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 Nice Answer Answer score of 10 or more. This badge can be awarded multiple times.

Asaf Karagila earned this badge 201 times
jan 16 at 20:07
What is the correct definition of the absolute value of $x$, $|x|$?
jan 5 at 18:15
Every partial order can be extended to a linear ordering
jan 5 at 13:20
If $X$ is an infinite set and there exists an injection $X \to \mathbb{N}$, is there also a bijection?
jan 3 at 17:04
How to Decompose $\mathbb{N}$ like this?
jan 3 at 17:04
What is the Cardinality of this set?
jan 3 at 17:04
Name of a set that allows repetition
jan 2 at 2:32
Are there real-life relations which are symmetric and reflexive but not transitive?
jan 1 at 16:52
Simple proof; Show that $(4^n - 1)$ is divisible by 3 (Guided proof task)
jan 1 at 16:52
Can elements in a set be duplicated?
jan 1 at 16:52
Is this relation really transitive?
dec 30 at 20:30
True Definition of the Real Numbers
dec 30 at 20:30
What exactly is infinity?
dec 22 at 14:54
How many subsets of $\mathbb{N}$ have the same cardinality as $\mathbb{N}$?
dec 21 at 16:24
Given real numbers: define integers?
dec 10 at 9:47
Example of set which contains itself
dec 6 at 14:44
Bijection between $\mathbb{Z}\times\mathbb{Z}\times\dots$ and $\mathbb{R}$
dec 3 at 8:43
Axiom of Regularity
dec 3 at 0:48
Every Number is Describable?
nov 24 at 19:49
Efficient way of saying a subset $A$ of a metric space $X$ is compact implies A is bounded
nov 23 at 13:44
How do I convince someone that $1+1=2$ may not necessarily be true?
nov 14 at 20:54
Too old to start math
nov 11 at 11:13
The definition of metric space,topological space
nov 3 at 14:51
Why arent $\mathbb{R}$ and $\mathbb{R}²$ isomorphic?
nov 1 at 0:39
Why is the collection of all groups considered a proper class rather than a set?
oct 23 at 15:45
Cantor set and countability.
oct 14 at 9:15
What does it mean for something to be true but not provable in peano arithmetic?
oct 13 at 7:23
Impossible to prove vs neither true nor false
oct 13 at 2:38
Ultra Filter and Axiom of Choice
oct 12 at 15:12
There exists a rational sequence that converges to $\sqrt3$
oct 9 at 9:55
Importance of Axiom of Choice
oct 7 at 8:20
Why use ZF over NFU?
oct 5 at 21:09
What is a real world application of polynomial factoring?
sep 27 at 3:12
Existence in ZF of a set with countable power set
sep 22 at 1:43
Is the statement $A \in A$ true or false?
sep 17 at 12:15
is there a cardinality between the rational and the irrationals?
sep 14 at 19:35
Advantage of ZF over other set theories such as New Foundation
sep 14 at 19:35
Neither provable nor disprovable theorem
sep 14 at 19:35
How is a system of axioms different from a system of beliefs?
sep 14 at 19:35
existence of a map between $\mathbb R^2$ and $\mathbb R$
sep 14 at 19:35
Is $\mathbb{Q}[\sqrt2]$ = $\mathbb{Q}[\sqrt2+1]$?
sep 14 at 19:30
difference between maximal element and greatest element
sep 13 at 2:27
A Hamel basis for $l^{\,p}$?
sep 5 at 10:39
First-order logic advantage over second-order logic
sep 4 at 7:08
What is the basis for a proof?
sep 1 at 2:16
Why is the Continuum Hypothesis (not) true?
aug 27 at 2:18
What is the meaning of $\mathbb R^+$?
aug 17 at 13:27
Why do the rationals, integers and naturals all have the same cardinality?
aug 17 at 13:27
Can an ordered field be finite?
aug 17 at 9:42
What is $\aleph_0$ powered to $\aleph_0$?
aug 16 at 8:36
Cardinality of union of ${{\aleph }_{0}}$ disjoint sets of cardinality $\mathfrak{c}$
aug 16 at 2:56
Normed Linear Space: Why does $\|x_n\|\to 0$ imply $x_n \to 0$?
aug 13 at 20:38
What interpretations exists for the singleton of the singleton of the empty set $\{\{\varnothing\}\}$ and its singleton $\{\{\{\varnothing\}\}\}$?
aug 13 at 5:52
Importance of rigor
aug 10 at 18:51
Existence of a bijection without AC
aug 5 at 15:47
Proofs that every mathematician should know?
aug 5 at 15:07
How is $\epsilon_0$ countable?
jul 28 at 21:12
Banach-Tarski theorem without axiom of choice
jul 25 at 2:17
difference between class, set , family and collection
jul 24 at 22:47
Is the axiom of choice needed to show that $a^2=a$?
jul 23 at 18:02
Is every set a subset?
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