On my blog Sye Ten Bruggencate vs. the Absolute Laws of Logic which I posted back in July, a visitor posting under the moniker StefanMach (to whom I will refer as Stefan henceforth) recently left a comment about the relationship between induction and deduction and presuppositionalism.
Specifically Stefan inquired about the consequences induction has for deductive conclusions given the view that “inductive argument conclusions are classified as either strong or weak and can never be classified as true or false.”
This is topical given that deductive arguments attempt to draw conclusions from at least one premise which, as a generalization, must be the conclusion of an inductive inference. Thus if an inductive inference can only produce a conclusion that is at best “strong” (as opposed to “weak”), then any attempt to draw a conclusion by means of deduction from an inductive conclusion would necessarily inherit the tentativeness already present in the inductive conclusion. Consequently, how can any deductive conclusion be accepted as reliably true or certain?
Specifically Stefan inquired about the consequences induction has for deductive conclusions given the view that “inductive argument conclusions are classified as either strong or weak and can never be classified as true or false.”
This is topical given that deductive arguments attempt to draw conclusions from at least one premise which, as a generalization, must be the conclusion of an inductive inference. Thus if an inductive inference can only produce a conclusion that is at best “strong” (as opposed to “weak”), then any attempt to draw a conclusion by means of deduction from an inductive conclusion would necessarily inherit the tentativeness already present in the inductive conclusion. Consequently, how can any deductive conclusion be accepted as reliably true or certain?