Combining Texts

All the ideas for 'Exigency to Exist in Essences', 'Gilles Deleuze' and 'Review of Chihara 'Struct. Accnt of Maths''

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


12 ideas

1. Philosophy / H. Continental Philosophy / 1. Continental Philosophy
Deleuze relies on Spinoza (immanence), Bergson (duration), and difference (Nietzsche) [May]
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]
7. Existence / A. Nature of Existence / 5. Reason for Existence
Possibles demand existence, so as many of them as possible must actually exist [Leibniz]
God's sufficient reason for choosing reality is in the fitness or perfection of possibilities [Leibniz]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
The actual universe is the richest composite of what is possible [Leibniz]
23. Ethics / F. Existentialism / 1. Existentialism
For existentialists the present is empty without the pull of the future and weight of the past [May]
24. Political Theory / D. Ideologies / 6. Liberalism / a. Liberalism basics
Liberal theory starts from the governed, not from the governor [May]