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Rules of rules


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#1 joshuagenes

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Posted 23 December 2012 - 07:14 AM

If an object is the sum of it's parts then one rule is the sum of it's parts. But some of those parts are bound to be rules that govern how the pieces fit together which would make the sum of it's parts greater than one. The rules of rules also made up of parts and rules and so on so forth. This being so how can one rule simply be just one? What is the root set of rules that governs all rules? What is the lowest common denominator of all rules when they are broken into all it's parts?


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#2 bonanova

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Posted 15 February 2013 - 10:19 PM

Well, we might also say that the whole is less than the sum of its parts.

 

A set of numbers {a, b, c, d} has cardinality (4) that is less than the cardinality of the set of its subsets { {} {a} {b} {c} {d} {ab} {ac} {ad} {bc} {bd} {cd} {abc} {abd} {acd} {bcd} {abcd} } (16) and yet it contains all the members of all the subsets.

 

Would that be a paradox?


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