| Michael Meyerson - Mathematics - 2002 - 304 pages
...anything and not about some one or more particular things, then our deductions constitute mathematics. Thus, mathematics may be defined as the subject in...talking about, nor whether what we are saying is true. Both for mathematicians and for others who use logical reasoning, the danger is glaring: if your initial... | |
| Marcel Danesi - Mathematics - 2002 - 302 pages
...ultimately empty. 5 Puzzling Numbers MAGIC SQUARES, CRYPTARITHMS, AND OTHER MATHEMATICAL RECREATIONS Mathematics may be defined as the subject in which...talking about, nor whether what we are saying is true. — Bertrand Russell (1872-1970) Ls we saw in the opening chapter, some puzzles have played a significant... | |
| Mary Douglas - Literary Collections - 2003 - 360 pages
...matters. This concern with form rather than content is what Russell had in mind in his famous quip that 'mathematics may be defined as the subject in which...talking about, nor whether what we are saying is true' . (63) The obvious way to reply is to notice that the editors' argument depends on the tacit assumption... | |
| Steven G. Krantz - Computers - 2002 - 270 pages
...logic. — Lewis Carroll Logic is nothing more than a knowledge of words. — Charles Lamb Afathematics may be defined as the subject in which we never know...talking about, nor whether what we are saying is true. — Bertrand Russell The limits of my language means the limits of my world. — Ludwig Wittgenstein... | |
| Clifford A. Pickover - Mathematics - 2003 - 420 pages
...masking a more complicared stare of affairs, like Bertrand Russell's assertion that mathematics is the subject in which we never know what we are talking about, nor whether what we are saying is true. The main point 1 am making is that I believe the conjecture has undergone a certain amount of modification... | |
| Lynn D. Newton - Education - 2002 - 100 pages
...reference to the physical universe. If no more were said, mathematics might be appropriately characterised as 'the subject in which we never know what we are talking about, nor whether what we are saying is true'(Russell, 1917). However, mathematics enables us to communicate in an exact and analytical fashion... | |
| L. Decock - Philosophy - 2002 - 316 pages
...good, such as the rise of abstract algebra, and some bad, such as the notion that in pure mathematics "we never know what we are talking about, nor whether what we are saying is true".67 The fact that we must know what we talk about indicates that the extensions of our predicates... | |
| Tomasz Placek, Jeremy Butterfield - Mathematics - 2002 - 372 pages
...theory—which experimental physicists do not find it necessary to read. Mathematics has been well called 'the subject in which we never know what we are talking about'. [2, p. 117] 7 Considering mathematics as an empty formal game was a position entertained by some Logical... | |
| Wiesław Krawcewicz, Bindhyachal Rai - Mathematics - 2003 - 718 pages
...Young man, in mathematics you don't understand things, you just get USed to them. John von Neumann Mathematics may be defined as the subject in which...talking about, nor whether what we are saying is true Bertrand Russell 154 Life is complex. It has real and imaginary components. Tom Potter Digniew Jujka... | |
| Gilles Fauconnier, Mark Turner - Psychology - 2008 - 464 pages
...human sphere, including sex, war, and religion, nonetheless had a stark view of formal mathematics: "Mathematics may be defined as the subject in which...know what we are talking about, nor whether what we say is true." One fundamental goal of these approaches, then, is to construct artificial languages... | |
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