Kittel: possible states of magnetic

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The discussion centers on the interpretation of magnetic moments as presented in Kittel's "Thermal Physics." Participants clarify that the magnetic moments decrease in increments of two due to the nature of magnetic polarity, where removing a north pole simultaneously introduces a south pole. This results in a net change that cannot yield odd multiples of magnetic moments. The explanation emphasizes the fundamental principles of magnetic interactions and the behavior of paired magnets.

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Aziza
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I do not understand the attached picture excerpt from Kittel Thermal Physics (first sentence up to 'eqn' (7) ).

I would expect the moments to go down in increments of one, not two. I think the subsequent paragraph tries to explain why, although I am not sure this is indeed the purpose. Could anyone please shed some light on this horribly explained section?

Thanks!
 

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Is it maybe because when you flip a magnet you lose a north and also gain a south? If you just took one away it would decrease by one but you took away a north and added a south.
 
It's not horribly explained. Try arranging 2 magnets in a way that the net moment is +1. Their either combine to +/- 2 (NN, SS) or cancel to 0 (NS, SN). You can't get odd multiples.
 

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