...about some one or more particular things, then our deductions constitute mathematics. Thus mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true. People who have been puzzled by the beginnings of mathematics...

...real, we can not say that what mathematics teaches is "not true." Nor is it fair to define mathematics as "the subject in which we never know what we are talking about." I understand that Professor Russell bases his view upon the method of some Italian mathematicians who...

...kônnen. • (Gauss, Werke, t. VIII, Gôtlingen, 1900, p. 201). 2. « Thus mathematios may be deflned as the subject in which we never know what we are talking about, nor whether what we are saying is true. • International monthly, 1901, p. 84. BHUNSCHVICQ. — Les...

...about some one or more particular things, then our deductions constitute mathematics. Thus mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true. RUSSELL, BEHTRAND. Recent Work on the Principles of Mathematics,...

...limited by the necessity to avoid all contradictions, and to Russell's statement that " mathematics may be defined as the subject in which we never know what we are talking about nor whether what we are saying is true." The mathematical skepticism which such statements may awaken...

...the foundations of logic. Russell has given also a somewhat humorous definition, that "mathematics is the subject in which we never know what we are talking about, nor whether what we are saying is true." Doubtless many of our students would heartily agree with this...

...Russell, that * Benjamin Peirce, American Journal of Mathematics, Vol. 4 (1881), p. 97. mathematics is the subject in which we never know what we are talking about nor whether what we are saying is true* is also very instructive if it is properly interpreted. As...

...about some one or more particular things, then our deductions constitute mathematics. Thus mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true."* In such instances we deal mainly with our own constructions,...

...about some one or more particular things, then our deductions constitute mathematics. Thus mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true. People who have been puzzled by the beginnings of mathematics...

....andnotaboutsomeoneormore particular things, then our deductions constitute mathematics. Thus mathematics may be denned as the subject in which we never know what we are talking about, nor whether what we are saying is true. People who have been puzzled by the beginnings of mathematics...