Argument from computation
Memory formation in a computer can only occur within an environment where entropy is increasing AND the process of memory formation in human brains is relevantly similar to that in a computer.
In the citation from Stephen Hawking below, he argues that computer encoding of memories requires an increasing entropy gradient. He does not explicitly defend the analogy between human and computer memories. In the subtree of this node, the two co-premises are separated and more formal attempts to make the case are cited.

The second cited paper, by David Wolpert, makes the case that Landauer's Principle is applicable to human memories - at least memories analogous to a photograph on a piece of film - but NOT to computer memories. This version of the argument does not require the co-premise asserting the two are analogous.
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The Arrow of Time  »The Arrow of Time 
The experience of time »The experience of time
Passage view components »Passage view components
Flow and direction of time? »Flow and direction of time?
Memory accretion hypothesis  »Memory accretion hypothesis 
Direction is that of memory accretion »Direction is that of memory accretion
Why aligned with thermodynamic arrow? »Why aligned with thermodynamic arrow?
Information theoretic explanation »Information theoretic explanation
Argument from computation
Brain and computer memories analogous »Brain and computer memories analogous
Computer memories need increasing entropy »Computer memories need increasing entropy
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