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How many stable and causal systems with the same magnitude response are there?

I know this relates to an all pass system for two rational transfer functions but am not sure about the specifics of this

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    $\begingroup$ Wouldn't stability and causality be conserved when adding any delay? $\endgroup$ – fibonatic Mar 28 at 5:39
  • $\begingroup$ This question appears to be homework. Complete answers to homework are off-topic, but specific questions about homework are acceptable if they include enough detail. Please edit the question to include more background about what you don't understand. $\endgroup$ – Marcus Müller Mar 28 at 10:44
  • $\begingroup$ there are infinite number of stable and causal LTI systems with the same magnitude response. $\endgroup$ – robert bristow-johnson Mar 28 at 18:30

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