Combining Texts
Ideas for
'Internalism Exposed', 'On the Reality of Accidents' and 'Introduction to Mathematical Philosophy'
expand these ideas
|
start again
|
choose
another area for these texts
display all the ideas for this combination of texts
9 ideas
6. Mathematics / A. Nature of Mathematics / 2. Geometry
14442
|
If straight lines were like ratios they might intersect at a 'gap', and have no point in common [Russell]
|
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
14438
|
New numbers solve problems: negatives for subtraction, fractions for division, complex for equations [Russell]
|
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
13510
|
Could a number just be something which occurs in a progression? [Russell, by Hart,WD]
|
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
14436
|
A series can be 'Cut' in two, where the lower class has no maximum, the upper no minimum [Russell]
|
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / j. Complex numbers
14439
|
A complex number is simply an ordered couple of real numbers [Russell]
|
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / m. One
14421
|
Discovering that 1 is a number was difficult [Russell]
|
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
14424
|
Numbers are needed for counting, so they need a meaning, and not just formal properties [Russell]
|
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
14441
|
The formal laws of arithmetic are the Commutative, the Associative and the Distributive [Russell]
|
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
14420
|
Infinity and continuity used to be philosophy, but are now mathematics [Russell]
|