Ad ignorantiam illustrated from a time perspective?

Hi,

Let’s say that it is Wednesday today(let’s define this point of time as tn+1).

Peter speaks with you and claims that he during Tuesday(let’s define this point of time as tn) entered into your kitchen, without bringing any own supplies, and baked a world-class chocolate cake and ate it. You know that during Monday(let’s define this point of time as tn-1) your kitchen was empty on supplies, therefor you claim that Peter did not bake a chocolate cake. Peter then tells you that since you today(tn+1) could not find any specific traces(evidence) that shows that he did not bake a cake yesterday(tn) then you must accept that he did bake a chocolate cake yesterday(tn).

You then tell Peter that what has happened at (tn+1) does not affect if a cake was baked at (tn) since it relies on the INUS-conditions/causal ingredients being available at (tn-1). It can be proven by the experiment that what happens today does not affect what happened yesterday and what happened yesterday is a product of what happened the day before yesterday(if the chocolate cake needed INUS-conditions/causal ingredients were available in the kitchen).

Put in another perspective: If I can’t find any traces of a chocolate cake today does not verify that you didn’t bake a cake in my kitchen last week. If you baked a cake will depend on if the INUS conditions/causal ingredients were available before the actual baking moment.

Does anyone understand this proposal? Could this explanation be improved?

Thanks