I have no objection to the pooh-pooh-ing of fairies, provided it be critical pooh-pooh-ing; but I wish I had the leisure to place before those gentlemen a work to be entitled The History of Pooh-pooh-ing. I think it would do them good; and make room in their minds for an essay /1
With Speculative Rhetoric, Logic, in the sense of Normative Semeotic, is brought to a close. But now we have to examine whether there be a doctrine of signs corresponding to Hegel's objective logic; that is to say, whether there be a life in Signs, so that--the requisite vehicle being present-- /1
In order to cover every possibility, this should be founded on a general doctrine of methods of attaining purposes, in general; and this, in turn, should spring from a still more general doctrine of the nature of teleological action, in general.
Nowadays methods alone can arrest attention strongly; and these are coming in such flocks that the next step will surely be to find a method of discovering methods. This can only come from a theory of the method of discovery.
Time was when a theorem could constitute a considerable contribution to mathematical science. But now new theorems are turned out wholesale. A single treatise will contain hundreds of them.
“So long as an opinion is strongly rooted in the feelings, it gains rather than loses in stability by having a preponderating weight of argument against it.” — John Stuart Mill, The Subjection of Women
(But do not let me be understood as saying that a Form possesses, itself, Identity in the strict sense; that is, what the logicians, translating arithmo, call ‘numerical identity.’)” [N.B. In the text, ‘arithmo’ is written in Greek letters.]
Thus, this algebraic Diagram presents to our observation the very,identical object of mathematical research, that is, the Form of the harmonic mean,which the equation aids one to study.
“The enslavement of language in prattle is joined by the enslavement of things in folly almost as its inevitable consequence.” — Walter Benjamin, “On Language as Such and on the Language of Man”
“But why do that, when the thought itself is present to us?” Such, substantially, has been the interrogative objection raised by more than one or two superior intelligences, among whom I single out an eminent and glorious General.
Come on, my reader, and let us construct a diagram to illustrate the general course of thought; I mean a System of diagrammatization by means of which any course of thought can be represented with exactitude.
Despite the best efforts of positivists, pragmatists, and deconstructionists, ontology is as popular among contemporary philosophers as it was in the days of Democritus and Anaxagoras. Phil as Poetry p.3 #Pragmatism #Rorty #Ontology
All these ideas may be said to have virtually existed in the form of the Boolian algebra originally given by Boole. But in 1870 I greatly enlarged and I may say revolutionized the subject by the virtual introduction of an entire new kind of abstractions.
It is the relation that M has to M and to B and that B has to B but that B does not have to M. It is the connecting link between the general ideas of logical dependence and the idea of the sequence of quantity.
I have only noticed a few of the most interesting of these abstractions. But I have not mentioned the most interesting of all the dyadic relations, that of inclusion, the great importance of which, now generally recognized, was first pointed out and demonstrated by me in 1870.
As an example of a triadic relation between relations take the relation between the 1st, 2nd and 3rd relations between M and B. That is the relation between first the relation of M only to B only, of B only to M only, and of otherness of M to B and of B to M. /1
“Society is one word, but many things.” – John Dewey, Democracy and Education (1916, MW 9:87)
I furthermore show that they invariably leave the doors open, theoretically and practically, to bad reasoning. In fact, there are no rules at all, for the most part, which follow as necessary corollaries from the theories. From the ordinary theories of hypotheses, on the other hand,rules do flow; /1
I show that the arguments which their authors identify with inductions have in some cases no force at all, but lead to manifest absurdity, and that in no cases are they nearly as strong as the true inductive argument.
I now go back to consider other theories of the validity of induction and hypothesis than my own. I give as complete an account of these theories as I can.
Thus the relation of M to B is the converse of the relation of B to M and this relation of converseness is a dyadic relation between relations.
There are dyadic relations between dyadic relations.
It is true that owing to there being but two primary substances, there is no triadic relation between three different primary substances. But there can be a relation between three different dyadic relations.
Those four relations are dyadic relations. That is,considered as abstractions their existence consists in something being true of two primary substances.Thus to say that M is in the relation of otherness to B is to say that M is other than B which is a fact about the two primary substances M and B.
When the philosophy of probability has once been put upon a sure footing, the question of inverse probabilities gives no serious difficulty.
“All philosophy is idealism, and there exists no true realism except that of poetry. But poetry and philosophy are only extremes. (1/2)
I may, however, say that I am one of those who maintain that a probability must be a matter of positive knowledge, or confess itself a nullity.