Combining Texts

All the ideas for 'A Theory of Universals', 'Letters to Coste' and 'Mathematics is Megethology'

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

20 ideas

2. Reason / A. Nature of Reason / 9. Limits of Reason
19433 The universe is infinitely varied, so the Buridan's Ass dilemma could never happen [Leibniz]
4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / g. System S4
15544 If what is actual might have been impossible, we need S4 modal logic [Armstrong, by Lewis]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
10807 Mathematics reduces to set theory, which reduces, with some mereology, to the singleton function [Lewis]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
10809 We can accept the null set, but not a null class, a class lacking members [Lewis]
10811 The null set plays the role of last resort, for class abstracts and for existence [Lewis]
10812 The null set is not a little speck of sheer nothingness, a black hole in Reality [Lewis]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
10813 What on earth is the relationship between a singleton and an element? [Lewis]
10814 Are all singletons exact intrinsic duplicates? [Lewis]
4. Formal Logic / G. Formal Mereology / 1. Mereology
10806 Megethology is the result of adding plural quantification to mereology [Lewis]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
10816 We can use mereology to simulate quantification over relations [Lewis]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
10808 Mathematics is generalisations about singleton functions [Lewis]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
10815 We don't need 'abstract structures' to have structural truths about successor functions [Lewis]
8. Modes of Existence / B. Properties / 1. Nature of Properties
7024 Properties are universals, which are always instantiated [Armstrong, by Heil]
8. Modes of Existence / B. Properties / 6. Categorical Properties
9478 Even if all properties are categorical, they may be denoted by dispositional predicates [Armstrong, by Bird]
8. Modes of Existence / D. Universals / 2. Need for Universals
10729 Universals explain resemblance and causal power [Armstrong, by Oliver]
8. Modes of Existence / E. Nominalism / 3. Predicate Nominalism
4031 It doesn't follow that because there is a predicate there must therefore exist a property [Armstrong]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
10810 I say that absolutely any things can have a mereological fusion [Lewis]
9. Objects / F. Identity among Objects / 4. Type Identity
10024 The type-token distinction is the universal-particular distinction [Armstrong, by Hodes]
9. Objects / F. Identity among Objects / 5. Self-Identity
10728 A thing's self-identity can't be a universal, since we can know it a priori [Armstrong, by Oliver]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
19434 There may be a world where dogs smell their game at a thousand leagues [Leibniz]