I think paradoxes/extreme examples work mainly by provoking lateral thinking, forcing us to reconsider assumptions, etc. It has nothing at all to do with the logical system under consideration. Sometimes we get lucky and hit upon an idea that goes further and with less exceptions, other times we don’t. In short, it’s all in the map, not in the territory.
I don’t believe in absolute consistency (whether in morality or even in say, physics). A theory is an algorithm that works. We should be thankful that it does at all. In something like morality, I don’t expect there to be a possible systematization of it. We will only know what is moral in the far future in the only-slightly-less-far future. Self-modification has no well-defined trajectory.
Theories of the known, which are described by different physical ideas may be equivalent in all their predictions and are hence scientifically indistinguishable. However, they are not psychologically identical when trying to move from that base into the unknown. For different views suggest different kinds of modifications which might be made and hence are not equivalent in the hypotheses one generates from them in ones attempt to understand what is not yet understood. --Feynman
I think paradoxes/extreme examples work mainly by provoking lateral thinking, forcing us to reconsider assumptions, etc. It has nothing at all to do with the logical system under consideration. Sometimes we get lucky and hit upon an idea that goes further and with less exceptions, other times we don’t. In short, it’s all in the map, not in the territory.
I don’t believe in absolute consistency (whether in morality or even in say, physics). A theory is an algorithm that works. We should be thankful that it does at all. In something like morality, I don’t expect there to be a possible systematization of it. We will only know what is moral in the far future in the only-slightly-less-far future. Self-modification has no well-defined trajectory.
Theories of the known, which are described by different physical ideas may be equivalent in all their predictions and are hence scientifically indistinguishable. However, they are not psychologically identical when trying to move from that base into the unknown. For different views suggest different kinds of modifications which might be made and hence are not equivalent in the hypotheses one generates from them in ones attempt to understand what is not yet understood. --Feynman