Combining Texts
Ideas for
'Thinking About Mathematics', 'The Truth in Relativism' and 'works'
expand these ideas
|
start again
|
choose
another area for these texts
display all the ideas for this combination of texts
6 ideas
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
8763
|
The number 3 is presumably identical as a natural, an integer, a rational, a real, and complex [Shapiro]
|
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy
18249
|
Cauchy gave a formal definition of a converging sequence. [Shapiro]
|
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
9147
|
Number cannot be defined as addition of ones, since that needs the number; it is a single act of abstraction [Fine,K on Leibniz]
|
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / j. Infinite divisibility
19375
|
The continuum is not divided like sand, but folded like paper [Leibniz, by Arthur,R]
|
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
18080
|
A tangent is a line connecting two points on a curve that are infinitely close together [Leibniz]
|
18081
|
Nature uses the infinite everywhere [Leibniz]
|