Now, to say that a lot of objects is finite, is the same as to say that if we pass through the class from one to another we shall necessarily come round to one of those individuals already passed; that is, if every one of the lot is in any one-to-one relation to one of the lot, then to every one of the lot some one is in this same relation.

It is the man of science, eager to have his every opinion regenerated, his every idea rationalized, by drinking at the fountain of fact, and devoting all the e…

In all the works on pedagogy that ever I read - and they have been many, big, and heavy - I don't remember that any one has advocated a system of teaching by p…

By 'semiosis' I mean, on the contrary, an action, or influence, which is, or involves, a cooperation of three subjects, such as a sign, its object, and its int…

Toute definition implique un axiome, puisqu'elle affirme l'existence de l'objet defini. La definition ne sera donc justifiee, au point de vue purement logique,…

If any philosopher had been asked for a definition of infinity, he might have produced some unintelligible rigmarole, but he would certainly not have been able…

To choose one sock from each of infinitely many pairs of socks requires the Axiom of choice, but for shoes the Axiom is not needed.