E=C/D

doronshadmi · 6th October 2008, 03:09 AM

Entropy (an undefined term, exactly as lines and points are undefined by Hilbert's axioms of Geometry) is notated as E.

E=C/D where C is any given Cardinal and D is any R member of [0,1].

Please play with it.

Giggywig · 6th October 2008, 03:51 AM

And what is R?

doronshadmi · 6th October 2008, 04:22 AM

Originally Posted by Giggywig

And what is R?

The set of real numbers.

Reality Check · 6th October 2008, 04:23 AM

E = 1 or 10.9 or 1987.365 or whatever you want when C is a Cardinal (cardinal number) of a finite set ("For finite sets, the cardinality is given by a natural number, which is simply the number of elements in the set") and D is any real number between 0 and 1.

E is undefined if C is a Cardinal for an infinite set.

A fairly trivial thing to play with.

TMiguel · 6th October 2008, 04:25 AM

He jumps out of a hole just to fall right in to another.

wollery · 6th October 2008, 04:40 AM

I'm sorry, was there a point to posting an equation so ridiculously simple that it would have bored me when I was 16 years old?

doronshadmi · 6th October 2008, 05:34 AM

Originally Posted by Reality Check

E = 1 or 10.9 or 1987.365 or whatever you want when C is a Cardinal (cardinal number) of a finite set ("For finite sets, the cardinality is given by a natural number, which is simply the number of elements in the set") and D is any real number between 0 and 1.

E is undefined if C is a Cardinal for an infinite set.

A fairly trivial thing to play with.

Yes, this is what you get by your asymmetric first-order approach.

6th October 2008, 03:09 AM	#1
doronshadmi Philosopher Join Date: Mar 2008 Posts: 9,602	E=C/D Entropy (an undefined term, exactly as lines and points are undefined by Hilbert's axioms of Geometry) is notated as E. E=C/D where C is any given Cardinal and D is any R member of [0,1]. Please play with it.
doronshadmi Philosopher Join Date: Mar 2008 Posts: 9,602	Last edited by doronshadmi; 6th October 2008 at 03:20 AM.

6th October 2008, 03:51 AM	#2
Giggywig Master Poster Join Date: May 2007 Location: North Carolina Posts: 2,853	And what is R?
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6th October 2008, 04:22 AM	#3
doronshadmi Philosopher Join Date: Mar 2008 Posts: 9,602	Originally Posted by Giggywig And what is R? The set of real numbers.
doronshadmi Philosopher Join Date: Mar 2008 Posts: 9,602

6th October 2008, 04:23 AM	#4
Reality Check Penultimate Amazing Join Date: Mar 2008 Location: New Zealand Posts: 10,819	E = 1 or 10.9 or 1987.365 or whatever you want when C is a Cardinal (cardinal number) of a finite set ("For finite sets, the cardinality is given by a natural number, which is simply the number of elements in the set") and D is any real number between 0 and 1. E is undefined if C is a Cardinal for an infinite set. A fairly trivial thing to play with.
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6th October 2008, 04:25 AM	#5
TMiguel Critical Thinker Join Date: Sep 2008 Posts: 378	He jumps out of a hole just to fall right in to another.
TMiguel Critical Thinker Join Date: Sep 2008 Posts: 378	__________________ "If it sounds too stupid to be true, probably some one already made a job out of it"

6th October 2008, 04:40 AM	#6
wollery Protected by Samurai Hedgehogs! Join Date: Feb 2003 Location: Land of Eternal Hope Posts: 10,319	I'm sorry, was there a point to posting an equation so ridiculously simple that it would have bored me when I was 16 years old?
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6th October 2008, 05:34 AM	#7
doronshadmi Philosopher Join Date: Mar 2008 Posts: 9,602	Originally Posted by Reality Check E = 1 or 10.9 or 1987.365 or whatever you want when C is a Cardinal (cardinal number) of a finite set ("For finite sets, the cardinality is given by a natural number, which is simply the number of elements in the set") and D is any real number between 0 and 1. E is undefined if C is a Cardinal for an infinite set. A fairly trivial thing to play with. Yes, this is what you get by your asymmetric first-order approach.
doronshadmi Philosopher Join Date: Mar 2008 Posts: 9,602