Lexicon of Arguments

 

II 276f
Achilles/turtle/Carroll/Nozick: logical form:

(1) If p then q

(2) p.

Problem: q is not yet accepted, but it is required that the following will also be accepted explicitly:

(3) If (if p then q) and p, then q

Regress: the additional assumption (3) (s) in addition to the modus ponens) therefore is: if (1) and (2), q.
This then in turn needs an additional premise.
>Regress, >Premises.
II 277
Solution/tradition: Problem: confusion of premises with inference principles. Then the regress not even begins.
>Inference, >Consequence.
Solution / Nozick: we need to introduce a premise that has the same shape and all inferences supplies as the other assumptions that are apparently still needed - WittgensteinVs: problems of rule-following, etc.
>Zeno, >About Zeno, >Rule following.