What's the mathematical relationship between Characters, Syllables, Morphemes, Words?

[scherzo]

Please see the blue box below. The deceased author didn't clearly expound the mathematical relationship between four lexical items. Is my guess (in red) correct?

 

Words ≤  Morphemes  ≤  Characters  ≤  Syllables

 

 

Henry Rogers (1940-2010), Writing Systems (2004), p 27.

 

[Publius]

Yeah, that's about right, except...

if the word "happiness" = morpheme 1 "happy" + morpheme 2 "-ness", isn't it more natural to say "Words ≥ Morphemes ≥ Characters ≥ Syllables"?

 

[scherzo]

But wouldn't your inequality contradict the Blue Table? Or are you arguing that the Blue Table is wrong?

 

The last 2 rows prove that Morphemes (2) ≥ Words (1).

The last 4 rows prove that Characters (2) ≥ Morphemes (1)

[Publius]

So by "Morphemes" you mean "number of morphemes"? Then you are right. Your formula is semantically ambiguous.