> our assumption was that S was true for one specific n, and not all n at the same time
And here is where my problem with the reasoning is. The example in "A Brief Review of the Principle of Induction" makes no such error. It calculates for 1, and it calculates for n and n+1, in which the n can really by any n as in "all n". Also, no assumption there. So in my understanding the fallacies start at step 3.
And here is where my problem with the reasoning is. The example in "A Brief Review of the Principle of Induction" makes no such error. It calculates for 1, and it calculates for n and n+1, in which the n can really by any n as in "all n". Also, no assumption there. So in my understanding the fallacies start at step 3.