Combining Texts

All the ideas for 'Ethical Studies', 'Russell's Metaphysical Logic' and 'Intro to Positive Philosophy'

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25 ideas

1. Philosophy / B. History of Ideas / 1. History of Ideas
All ideas must be understood historically [Comte]
Our knowledge starts in theology, passes through metaphysics, and ends in positivism [Comte]
1. Philosophy / E. Nature of Metaphysics / 6. Metaphysics as Conceptual
Metaphysics is just the oversubtle qualification of abstract names for phenomena [Comte]
1. Philosophy / G. Scientific Philosophy / 2. Positivism
Positivism gives up absolute truth, and seeks phenomenal laws, by reason and observation [Comte]
Positivism is the final state of human intelligence [Comte]
1. Philosophy / G. Scientific Philosophy / 3. Scientism
Science can drown in detail, so we need broad scientists (to keep out the metaphysicians) [Comte]
Only positivist philosophy can terminate modern social crises [Comte]
2. Reason / D. Definition / 8. Impredicative Definition
'Impredictative' definitions fix a class in terms of the greater class to which it belongs [Linsky,B]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
Reducibility says any impredicative function has an appropriate predicative replacement [Linsky,B]
5. Theory of Logic / F. Referring in Logic / 2. Descriptions / c. Theory of definite descriptions
Definite descriptions theory eliminates the King of France, but not the Queen of England [Linsky,B]
5. Theory of Logic / I. Semantics of Logic / 5. Extensionalism
Extensionalism means what is true of a function is true of coextensive functions [Linsky,B]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
The task of logicism was to define by logic the concepts 'number', 'successor' and '0' [Linsky,B]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Higher types are needed to distinguished intensional phenomena which are coextensive [Linsky,B]
Types are 'ramified' when there are further differences between the type of quantifier and its range [Linsky,B]
The ramified theory subdivides each type, according to the range of the variables [Linsky,B]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Did logicism fail, when Russell added three nonlogical axioms, to save mathematics? [Linsky,B]
For those who abandon logicism, standard set theory is a rival option [Linsky,B]
8. Modes of Existence / B. Properties / 11. Properties as Sets
Construct properties as sets of objects, or say an object must be in the set to have the property [Linsky,B]
12. Knowledge Sources / D. Empiricism / 4. Pro-Empiricism
All real knowledge rests on observed facts [Comte]
14. Science / A. Basis of Science / 1. Observation
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
Positivism explains facts by connecting particular phenomena with general facts [Comte]
16. Persons / C. Self-Awareness / 3. Limits of Introspection
Introspection is pure illusion; we can obviously observe everything except ourselves [Comte]
22. Metaethics / C. The Good / 2. Happiness / d. Routes to happiness
Happiness is not satisfaction of desires, but fulfilment of values [Bradley, by Scruton]
26. Natural Theory / C. Causation / 7. Eliminating causation
The search for first or final causes is futile [Comte]
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / e. Anti scientific essentialism
We can never know origins, purposes or inner natures [Comte]