Russell: Pure Mathematics

Zitat

“Pure mathematics consists entirely of assertions to the effect that, if such and such a proposition is true of anything, then such and such another proposition is true of that thing. It is essential not to discuss whether the first proposition is really true, and not to mention what the anything is, of which it is supposed to be true.” (p 114) #Russell #PureMathematics

Russell, Bertrand, Mysticism and Logic and Other Essays. London: George Allen & Unwin LTD 111959.

Russell: Self-Evidence

Zitat

“Self-evidence is often a mere will-o’-the-wisp, which is sure to lead us astray if we take it as our guide.” (p. 118) #Russell #SelfEvidence

Russell, Bertrand, Mysticism and Logic and Other Essays. London: George Allen & Unwin LTD 111959.

Russell: A Great Study

Zitat

“Every great study is not only an end in itself, but also a means of creating and sustaining a lofty habit of mind; and this purpose should be kept always in view throughout the teaching and learning of mathematics.” (p. 112) #Russell #GreatStudy

Russell, Bertrand, Mysticism and Logic and Other Essays. London: George Allen & Unwin LTD 111959.

Russell: Perspectives

Zitat

“In addition to the private spaces belonging to the private worlds of different percipients, there is, however, another space, in which one whole private world counts as a point, or at least as a spatial unit. This might be described as the space of points of view, since each private world may be regarded as the appearance which the universe presents from a certain point of view. I prefer, however, to speak of it as the space of perspectives, in order to obviate the suggestion that a private world is only real when someone views it. And for the same reason, when I wish to speak of a private world without assuming a percipient, I shall call it a »perspective«.” (p. 287) #Russell #perspectives #PrivateWorld

Russell, Bertrand, Mysticism and Logic and Other Essays. London: George Allen & Unwin LTD 111959.