Combining Texts

All the ideas for 'Good and Evil', 'Mathematics is Megethology' and 'Intro to Positive Philosophy'

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25 ideas

1. Philosophy / B. History of Ideas / 1. History of Ideas
12105 Our knowledge starts in theology, passes through metaphysics, and ends in positivism [Comte]
12104 All ideas must be understood historically [Comte]
1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
12112 Metaphysics is just the oversubtle qualification of abstract names for phenomena [Comte]
1. Philosophy / G. Scientific Philosophy / 2. Positivism
12106 Positivism gives up absolute truth, and seeks phenomenal laws, by reason and observation [Comte]
12111 Positivism is the final state of human intelligence [Comte]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
12114 Science can drown in detail, so we need broad scientists (to keep out the metaphysicians) [Comte]
12116 Only positivist philosophy can terminate modern social crises [Comte]
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]
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]
12. Knowledge Sources / D. Empiricism / 4. Pro-Empiricism
12108 All real knowledge rests on observed facts [Comte]
14. Science / A. Basis of Science / 1. Observation
12109 We must observe in order to form theories, but connected observations need prior theories [Comte]
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
12107 Positivism explains facts by connecting particular phenomena with general facts [Comte]
16. Persons / C. Self-Awareness / 3. Limits of Introspection
12115 Introspection is pure illusion; we can obviously observe everything except ourselves [Comte]
22. Metaethics / C. The Good / 1. Goodness / a. Form of the Good
22489 'Good' is an attributive adjective like 'large', not predicative like 'red' [Geach, by Foot]
26. Natural Theory / C. Causation / 7. Eliminating causation
12113 The search for first or final causes is futile [Comte]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / e. Anti scientific essentialism
12110 We can never know origins, purposes or inner natures [Comte]