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Mud's tossed around Muhammad to show binary state (7)

Ross

I believe the answer is:

dualism

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'show binary state' is the definition.
Although both the answer and definition are singular nouns, I can't see how one could define the other.

'mud's tossed around muhammad' is the wordplay.
'tossed' indicates an anagram.
'around' indicates putting letters inside.
'muhammad' becomes 'ali' (I've seen this in another clue).
'muds' anagrammed gives 'dusm'.
'dusm' placed around 'ali' is 'DUALISM'.

'to' is the link.

Can you help me to learn more?

(Other definitions for dualism that I've seen before include "Eg, what Yin and Yang represent" , "Division into two opposed aspects" , "Belief in two basic entities" .)

I've seen this clue in the Sydney Morning Herald.
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