# Topic: Aleph Null

1. ## Aleph Null

This is my 4th or 5th attempt at composing a piece since I returned from my 6 week class at the University of MD. Although we did play around with the concept of Aleph Null, I have used it many times in the past.

This one I did this evening and uses the GPO Piano and Strings and a couple of other libraries and was composed by playing my keyboard into Sonar.

Aleph-null is by definition the cardinality of the set of all Natural Numbers and is the smallest of all infinite cardinalities. A set has cardinality Aleph Null, if and only if it is Countably Infinite, which is the case if and only if it can be put into a bijection with the natural numbers, (being both one-to one and onto or in other words, is both an injection and a surjection).

Here it is
http://www.box.net/shared/23hak514wk

I know I am not the greatest piano player, but I try and remember, I haven't played in 6 weeks.

Ron

2. ## Re: Aleph Null

Originally Posted by rolifer
Aleph-null is by definition the cardinality of the set of all Natural Numbers and is the smallest of all infinite cardinalities. A set has cardinality Aleph Null, if and only if it is Countably Infinite, which is the case if and only if it can be put into a bijection with the natural numbers, (being both one-to one and onto or in other words, is both an injection and a surjection).
C'est quoi ?!!

I have simply no idea what you just said.... But, the music I understand....

It is great ! I love the drama and threads of thought running wild. Great job. Thank you.

3. ## Re: Aleph Null

An intriguing soundscape, Ron... I'd be interested to see
the score to this.

Although I can't quite say I understand the relationship
to aleph numbers (perhaps there's no x in my X to match
the y in my Y... lol) -- this has a wonderful wave-like
motion through it... soothing and disturbing at once.

Perhaps you could elucidate the mathematical underpinnings
for us?

As a side note, gosh, hope you can find your way to the
G.Steinway -- it would sound gorgeous within a big, grand,
flowing panorama like this!

Always my best,

David
www.DavidSosnowski.com

4. ## Re: Aleph Null

Originally Posted by rolifer

A set has cardinality Aleph Null, if and only if it is Countably Infinite, which is the case if and only if it can be put into a bijection with the natural numbers, (being both one-to one and onto or in other words, is both an injection and a surjection).
...and here all along I thought it was TRIjection into UNnatural numbers!! No wonder I can't do math!!

Now for your music... this just gives me further reason to be such a fan of yours, Ron! I'm enthralled by the sounds you put together here, and the resulting mood you created. Great use of the horn section in this one --providing just the right amount of drama -- so tempting to overdo, but done here with restraint and taste. You continue to make great use of combined libraries; it isn't as easy as it would seem to always meld them as seamlessly as you do. The layoff did you no harm; in fact, it may have served to ripen up those creative juices even more, from the sound of this... great stuff (as always)!

Danny

5. ## Re: Aleph Null

Ron:

Aleph-null is by definition the cardinality of the set of all Natural Numbers and is the smallest of all infinite cardinalities. A set has cardinality Aleph Null, if and only if it is Countably Infinite, which is the case if and only if it can be put into a bijection with the natural numbers, (being both one-to one and onto or in other words, is both an injection and a surjection).
Wha'd he say???????

I hear elements of the "blues" and what Gerswhin might have been doing, were he still writing today. I mean this in the most complimentary way. It is both a fun piece and a deep intellectual experience at the same time.
Whooeee!

Steve

(I think I went to school with Alfie Null)

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