Combining Texts
Ideas for
'Parmenides', 'Mathematics without Foundations' and 'Rechnungsmethoden (dissertation)'
expand these ideas
|
start again
|
choose
another area for these texts
display all the ideas for this combination of texts
7 ideas
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
|
18256
|
Quantity is inconceivable without the idea of addition [Frege]
|
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
|
9937
|
I do not believe mathematics either has or needs 'foundations' [Putnam]
|
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
|
9939
|
It is conceivable that the axioms of arithmetic or propositional logic might be changed [Putnam]
|
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
|
16150
|
One is, so numbers exist, so endless numbers exist, and each one must partake of being [Plato]
|
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
|
9831
|
Geometry appeals to intuition as the source of its axioms [Frege]
|
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
|
9940
|
Maybe mathematics is empirical in that we could try to change it [Putnam]
|
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / b. Indispensability of mathematics
|
9941
|
Science requires more than consistency of mathematics [Putnam]
|