In a series of constructions in which he exploits the resources of modern logic with much ingenuity, Carnap succeeds in defining a wide array of important additional sensory concepts which, but for his constructions, one would not have dreamed were definable on so slender a basis.
But he has not, for the series of regular figures is a law, but not a law within which one can find the construction of the pentagon.
If one is given an idea of proof by being given a series of proofs, then to be asked for a new proof is to be asked for a new idea of proof.
A series of questions arises about personal experience.
It is used in different contexts because there is a transition between similar things called "good", a transition which continues, it may be, to things which bear no similarity to earlier members of the series.
So the situation we are in when we move from experience to language is analogous to the situation where we move from a movie to a series of still pictures.
By making a long series of experiments with a fixed shutter opening Dx and by measuring, in every single case, the momentum Px. If these momenta scatter as predicted, then the formula has survived the test.
The large body of eighteenth-century literature on chemical affinities and replacement series also derives from this supramechanical aspect of Newtonianism.
It was believed also that from writers mainly British and American fuller consideration of English Philosophy than it had hitherto received might be looked for. In the earlier series of books containing, among others, Bosanquet's "History of Aesthetic," Pfleiderer's "Rational Theology since Kant," Albee's "History of English Utilitarianism," Bonar's "Philosophy and Political Economy," Brett's "History of Psychology," Ritchie's "Natural Rights," these objects were to a large extent effected.
But in later life it is found that merely going to the larder does not cause fish to be there; after a series of random movements it is found that this result is to be caused by going to the City in the morning and coming back in the evening.