Galileo's Relativity: Theory of Clocks Synced by Signal?

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Is it correct to say that Galileo's relativity is a theory with clocks synchronized by a signal that propagates with infinite speed?
sine ira et studio
 
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bernhard.rothenstein said:
Is it correct to say that Galileo's relativity is a theory with clocks synchronized by a signal that propagates with infinite speed?
sine ira et studio

Mfff, this would get into some difficulties. Such a statement would be equivalent with going back to Einstein's 1905 paper and plugging in c=infinity in his clock synchro equations. I am not sure that you would end up deriving the Galieo transforms instead of the Lorentz ones.
I think it is safer and more direct to say that Galileo transforms can be derived by setting c=infinty in Lorentz's transforms.