Combining Texts

All the ideas for 'Science and Method', 'Mathematics is Megethology' and 'Universals'

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36 ideas

2. Reason / B. Laws of Thought / 6. Ockham's Razor
Epistemological Ockham's Razor demands good reasons, but the ontological version says reality is simple [Moreland]
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]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
One geometry cannot be more true than another [Poincaré]
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]
7. Existence / D. Theories of Reality / 1. Ontologies
Existence theories must match experience, possibility, logic and knowledge, and not be self-defeating [Moreland]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
Tropes are like Hume's 'impressions', conceived as real rather than as ideal [Moreland]
8. Modes of Existence / B. Properties / 13. Tropes / b. Critique of tropes
In 'four colours were used in the decoration', colours appear to be universals, not tropes [Moreland]
A colour-trope cannot be simple (as required), because it is spread in space, and so it is complex [Moreland]
8. Modes of Existence / D. Universals / 1. Universals
If properties are universals, what distinguishes two things which have identical properties? [Moreland]
One realism is one-over-many, which may be the model/copy view, which has the Third Man problem [Moreland]
Realists see properties as universals, which are single abstract entities which are multiply exemplifiable [Moreland]
8. Modes of Existence / D. Universals / 2. Need for Universals
The traditional problem of universals centres on the "One over Many", which is the unity of natural classes [Moreland]
Evidence for universals can be found in language, communication, natural laws, classification and ideals [Moreland]
8. Modes of Existence / D. Universals / 3. Instantiated Universals
The One-In-Many view says universals have abstract existence, but exist in particulars [Moreland]
8. Modes of Existence / D. Universals / 4. Uninstantiated Universals
Maybe universals are real, if properties themselves have properties, and relate to other properties [Moreland]
A naturalist and realist about universals is forced to say redness can be both moving and stationary [Moreland]
There are spatial facts about red particulars, but not about redness itself [Moreland]
How could 'being even', or 'being a father', or a musical interval, exist naturally in space? [Moreland]
8. Modes of Existence / D. Universals / 6. Platonic Forms / a. Platonic Forms
Redness is independent of red things, can do without them, has its own properties, and has identity [Moreland]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Moderate nominalism attempts to embrace the existence of properties while avoiding universals [Moreland]
8. Modes of Existence / E. Nominalism / 2. Resemblance Nominalism
Unlike Class Nominalism, Resemblance Nominalism can distinguish natural from unnatural classes [Moreland]
8. Modes of Existence / E. Nominalism / 3. Predicate Nominalism
There can be predicates with no property, and there are properties with no predicate [Moreland]
8. Modes of Existence / E. Nominalism / 5. Class Nominalism
We should abandon the concept of a property since (unlike sets) their identity conditions are unclear [Moreland]
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]
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
Most philosophers think that the identity of indiscernibles is false [Moreland]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
Abstractions are formed by the mind when it concentrates on some, but not all, the features of a thing [Moreland]
18. Thought / D. Concepts / 4. Structure of Concepts / b. Analysis of concepts
It is always open to a philosopher to claim that some entity or other is unanalysable [Moreland]
27. Natural Reality / D. Time / 1. Nature of Time / h. Presentism
'Presentism' is the view that only the present moment exists [Moreland]