Conway chained arrow notation: Difference between revisions

Revision as of 22:03, 31 August 2003

Revision as of 23:10, 31 August 2003

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==Simple examples==

It is impossible give a fully worked-out '''interesting''' example since at least 4 elements are required. However 1-, 2- and 3-length chains, which are subsumed in other notations, are expanded here as illustrated examples. Any chain beginning with two 2s stands for 4.

''n''

:any single integer ''n'' is just the value n, ie 7 = 7. This does not conflict with the rules since using rule 2 (backwards) then rule 3 we have 7 = 7→1 = 7¹ = 7.

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:= 2→2→1 (1, rrp)

:= 2→2 (2)

:= 4 (3) (In fact any chain beginning with two 2s stands for 4.)

:= 4 (3)

2→4→3