Combining Texts

Ideas for 'fragments/reports', 'Principia Mathematica' and 'An Essay on Free Will'

unexpand these ideas     |    start again     |     choose another area for these texts

display all the ideas for this combination of texts


1 idea

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
A real number is the class of rationals less than the number [Russell/Whitehead, by Shapiro]
     Full Idea: For Russell the real number 2 is the class of rationals less than 2 (i.e. 2/1). ...Notice that on this definition, real numbers are classes of rational numbers.
     From: report of B Russell/AN Whitehead (Principia Mathematica [1913]) by Stewart Shapiro - Thinking About Mathematics 5.2