Combining Texts

All the ideas for 'fragments/reports', 'Mathematics is Megethology' and 'Propositions'

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31 ideas

2. Reason / E. Argument / 1. Argument
19215 Arguers often turn the opponent's modus ponens into their own modus tollens [Merricks]
3. Truth / F. Semantic Truth / 2. Semantic Truth
19205 'Snow is white' only contingently expresses the proposition that snow is white [Merricks]
4. Formal Logic / D. Modal Logic ML / 1. Modal Logic
19209 Simple Quantified Modal Logc doesn't work, because the Converse Barcan is a theorem [Merricks]
4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
19208 The Converse Barcan implies 'everything exists necessarily' is a consequence of 'necessarily, everything exists' [Merricks]
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]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
19207 Sentence logic maps truth values; predicate logic maps objects and sets [Merricks]
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]
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 / E. Objects over Time / 12. Origin as Essential
19214 In twinning, one person has the same origin as another person [Merricks]
19. Language / A. Nature of Meaning / 1. Meaning
19217 I don't accept that if a proposition is directly about an entity, it has a relation to the entity [Merricks]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
19203 A sentence's truth conditions depend on context [Merricks]
19. Language / D. Propositions / 1. Propositions
19200 Propositions are standardly treated as possible worlds, or as structured [Merricks]
19206 'Cicero is an orator' represents the same situation as 'Tully is an orator', so they are one proposition [Merricks]
19. Language / D. Propositions / 2. Abstract Propositions / a. Propositions as sense
19202 Propositions are necessary existents which essentially (but inexplicably) represent things [Merricks]
19204 True propositions existed prior to their being thought, and might never be thought [Merricks]
19210 The standard view of propositions says they never change their truth-value [Merricks]
19. Language / D. Propositions / 3. Concrete Propositions
19201 Propositions can be 'about' an entity, but that doesn't make the entity a constituent of it [Merricks]
19211 Early Russell says a proposition is identical with its truthmaking state of affairs [Merricks]
19. Language / D. Propositions / 5. Unity of Propositions
19212 Unity of the proposition questions: what unites them? can the same constituents make different ones? [Merricks]
19213 We want to explain not just what unites the constituents, but what unites them into a proposition [Merricks]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / k. Ethics from nature
6000 The goal is rationality in the selection of things according to nature [Diogenes of Babylon, by Blank]
22. Metaethics / C. The Good / 1. Goodness / a. Form of the Good
5999 The good is what is perfect by nature [Diogenes of Babylon, by Blank]
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
6001 Justice is a disposition to distribute according to desert [Diogenes of Babylon, by Blank]