Combining Texts

All the ideas for 'Reply to Fourth Objections', 'Review of Chihara 'Struct. Accnt of Maths'' and 'Nietzsche's Immoralism'

expand these ideas     |    start again     |     specify just one area for these texts


9 ideas

6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set theory is the standard background for modern mathematics [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralists take the name 'R' of the reals to be a variable ranging over structures, not a structure [Burgess]
There is no one relation for the real number 2, as relations differ in different models [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
If set theory is used to define 'structure', we can't define set theory structurally [Burgess]
Abstract algebra concerns relations between models, not common features of all the models [Burgess]
How can mathematical relations be either internal, or external, or intrinsic? [Burgess]
17. Mind and Body / E. Mind as Physical / 6. Conceptual Dualism
The concept of mind excludes body, and vice versa [Descartes]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
Unlike aesthetic evaluation, moral evaluation needs a concept of responsibility [Foot]
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
The practice of justice may well need a recognition of human equality [Foot]