Combining Texts
Ideas for
'On What Grounds What', 'On the Question of Absolute Undecidability' and 'The Nature of Mathematical Knowledge'
expand these ideas
|
start again
|
choose
another area for these texts
display all the ideas for this combination of texts
10 ideas
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
|
6298
|
Kitcher says maths is an idealisation of the world, and our operations in dealing with it [Kitcher, by Resnik]
|
|
12392
|
Mathematical a priorism is conceptualist, constructivist or realist [Kitcher]
|
|
18078
|
The interest or beauty of mathematics is when it uses current knowledge to advance undestanding [Kitcher]
|
|
12426
|
The 'beauty' or 'interest' of mathematics is just explanatory power [Kitcher]
|
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
|
12395
|
Real numbers stand to measurement as natural numbers stand to counting [Kitcher]
|
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / j. Complex numbers
|
12425
|
Complex numbers were only accepted when a geometrical model for them was found [Kitcher]
|
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
|
18071
|
A one-operation is the segregation of a single object [Kitcher]
|
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics
|
18066
|
The old view is that mathematics is useful in the world because it describes the world [Kitcher]
|
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / i. Cardinal infinity
|
17890
|
There are at least eleven types of large cardinal, of increasing logical strength [Koellner]
|
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
|
18083
|
With infinitesimals, you divide by the time, then set the time to zero [Kitcher]
|