Combining Texts
Ideas for
'Metaphysics', 'The Theory of Logical Types' and 'Intro to Principles of Morals and Legislation'
expand these ideas
|
start again
|
choose
another area for these texts
display all the ideas for this combination of texts
5 ideas
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
|
13738
|
It is a simple truth that the objects of mathematics have being, of some sort [Aristotle]
|
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
|
12339
|
Aristotle removes ontology from mathematics, and replaces the true with the beautiful [Aristotle, by Badiou]
|
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
|
23457
|
Type theory cannot identify features across levels (because such predicates break the rules) [Morris,M on Russell]
|
|
21556
|
Classes are defined by propositional functions, and functions are typed, with an axiom of reducibility [Russell, by Lackey]
|
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
|
21568
|
A one-variable function is only 'predicative' if it is one order above its arguments [Russell]
|