As Russell wrote in (1914), “The logic which thus arises is not quite disinterested or candid…
Such an attitude naturally does not tend to the best results” (p.56).
Where logic ‘proves’ that some real possibility cannot be, we know we have regressed into practicing the misguided traditional logic.
Chapter II of Russell’s book is titled ‘Logic as the Essence of Philosophy’.
Modern logic thus enables us to see the truth through the haze of the obvious.
As Russell writes, “Thus, while it [modern logic] liberates imagination as to what the world ” (p.19).
Philosophy, too, is valuable, because it can expand our critical capacities and cause us to critically reflect on what seems at first obvious or necessary.
The value of philosophy as well as of modern logic is therefore to free our imprisoned thoughts from inherited prejudices and feelings.
For earlier logicians the function of logic is to exclude all possibilities save for one and then declare that the world must be in whatever way remains (p.18).
The modern logic Russell advocates can instead show us new possibilities: “Modern logic…