Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**BlitzBall****Member**- Registered: 2012-01-07
- Posts: 92

Hello all, it has been a long time since. Hope you are all well

Anyway, I have a few questions about empty sets.

Lets take:

T (domain) = {a,b,c,d,e,f}

A = {a,b}

B = {c,d,e,f}

A∧B ⊆ T = is true.

But how is it true? Because A∧B is an empty set, and I always thought an empty set is not a subset of everything "T".

*Last edited by BlitzBall (2013-10-20 05:08:47)*

Offline

**bob bundy****Administrator**- Registered: 2010-06-20
- Posts: 8,084

hi BlitzBall

So mathematicians take it that the empty set is a subset of every set.

Bob

Children are not defined by school ...........The Fonz

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Offline

**BlitzBall****Member**- Registered: 2012-01-07
- Posts: 92

Ahh I see, so that's how it is interpret. I'll remember that. Thanks a lot

Offline

**BlitzBall****Member**- Registered: 2012-01-07
- Posts: 92

Nehushtan wrote:

BlitzBall wrote:I always thought an empty set is not a subset of everything "T".

Why not?

Maybe I have forgotten. It has been like 2 years. I wish my memory was long term

Offline

Pages: **1**