Combining Texts

All the ideas for 'Appearance and Reality', 'Mathematics is Megethology' and 'The Logic of Decision'

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22 ideas

1. Philosophy / E. Nature of Metaphysics / 5. Metaphysics beyond Science
Claims about 'the Absolute' are not even verifiable in principle [Ayer on Bradley]
1. Philosophy / E. Nature of Metaphysics / 7. Against Metaphysics
Metaphysics is finding bad reasons for instinctive beliefs [Bradley]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
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
We can accept the null set, but not a null class, a class lacking members [Lewis]
The null set is not a little speck of sheer nothingness, a black hole in Reality [Lewis]
The null set plays the role of last resort, for class abstracts and for existence [Lewis]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
What on earth is the relationship between a singleton and an element? [Lewis]
Are all singletons exact intrinsic duplicates? [Lewis]
4. Formal Logic / G. Formal Mereology / 1. Mereology
Megethology is the result of adding plural quantification to mereology [Lewis]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
We can use mereology to simulate quantification over relations [Lewis]
5. Theory of Logic / F. Referring in Logic / 1. Naming / b. Names as descriptive
Names need a means of reidentifying their referents [Bradley, by Read]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers
Mathematics is generalisations about singleton functions [Lewis]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
We don't need 'abstract structures' to have structural truths about successor functions [Lewis]
8. Modes of Existence / A. Relations / 2. Internal Relations
Internal relations are said to be intrinsic properties of two terms, and of the whole they compose [Bradley, by Russell]
Relations must be linked to their qualities, but that implies an infinite regress of relations [Bradley]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
I say that absolutely any things can have a mereological fusion [Lewis]
10. Modality / E. Possible worlds / 2. Nature of Possible Worlds / b. Worlds as fictions
A possible world can be seen as a complete and consistent novel [Jeffrey]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
British Idealists said reality is a single Mind which experiences itself [Bradley, by Grayling]
Bradley's objective idealism accepts reality (the Absolute), but says we can't fully describe it [Bradley, by Potter]
Qualities and relations are mere appearance; the Absolute is a single undifferentiated substance [Bradley, by Heil]
14. Science / C. Induction / 6. Bayes's Theorem
Instead of gambling, Jeffrey made the objects of Bayesian preference to be propositions [Jeffrey, by Davidson]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / e. The One
Reality is one, because plurality implies relations, and they assert a superior unity [Bradley]