List, Not to be taken too seriously--as this was just a bit of play which occupied me for an hour or so today-- but based on the bean example, here's how I see the three inference patterns and their paths (vectors) through the 3 categories.
*Inference patterns and categoriality:* 1ns, Result (for deduction only) == 'Character' (for abduction/induction) |> 3ns, Rule 2ns, Case Middle term: That which is the middle term in deduction is put in *bold *in all 3 patterns Vectorial order: In each case start at * and conclude at *** *Deduction* (vector of involution): ***3rd, 1ns: *conclusion*-It is NECESSARY that Jesus die. |> *1st, 3ns: All *men* die, **2nd, 2ns: Jesus is a *man*; *Abduction* (vector of representation): **2nd, 1ns: Jesus died; |> *1st, 3ns: I make the supposition that all *men* die, ***3rd, 2ns: *conclusion*-It is POSSIBLE that Jesus was but a *man*. *Induction* (vector of determination): **2nd, 1ns: Jesus dies; |> ***3rd, 3ns: *conclusion*-It is PROBABLE that all *men* die. *1st, 2ns: Jesus is a *man, * Well, again, one doesn't want to make too much of this except to note that both deduction and abduction begin with a rule (in abduction, a mere 'supposition'), while induction concludes with a rule (which has some probability). Best, Gary R
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