Combining Texts
Ideas for
'Frege's Concept of Numbers as Objects', 'Hat-Tricks and Heaps' and 'What Required for Foundation for Maths?'
expand these ideas
|
start again
|
choose
another area for these texts
display all the ideas for this combination of texts
8 ideas
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
|
13861
|
Number theory aims at the essence of natural numbers, giving their nature, and the epistemology [Wright,C]
|
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
|
13892
|
One could grasp numbers, and name sizes with them, without grasping ordering [Wright,C]
|
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
|
17784
|
Real numbers can be eliminated, by axiom systems for complete ordered fields [Mayberry]
|
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / b. Quantity
|
17782
|
Greek quantities were concrete, and ratio and proportion were their science [Mayberry]
|
|
17781
|
Real numbers were invented, as objects, to simplify and generalise 'quantity' [Mayberry]
|
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts
|
13867
|
Instances of a non-sortal concept can only be counted relative to a sortal concept [Wright,C]
|
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
|
17799
|
Cantor's infinite is an absolute, of all the sets or all the ordinal numbers [Mayberry]
|
|
17797
|
Cantor extended the finite (rather than 'taming the infinite') [Mayberry]
|