Combining Texts

All the ideas for 'Intro to Positive Philosophy', 'Letter to Clerk Maxwell' and 'Principles of Arithmetic, by a new method'

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19 ideas

1. Philosophy / B. History of Ideas / 1. History of Ideas
12104 All ideas must be understood historically [Comte]
12105 Our knowledge starts in theology, passes through metaphysics, and ends in positivism [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
12111 Positivism is the final state of human intelligence [Comte]
12106 Positivism gives up absolute truth, and seeks phenomenal laws, by reason and observation [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]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
13949 All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R on Peano]
18113 PA concerns any entities which satisfy the axioms [Peano, by Bostock]
17634 Peano axioms not only support arithmetic, but are also fairly obvious [Peano, by Russell]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
15653 We can add Reflexion Principles to Peano Arithmetic, which assert its consistency or soundness [Halbach on Peano]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
17635 Arithmetic can have even simpler logical premises than the Peano Axioms [Russell on Peano]
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]
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]
27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces
15313 By 'force' I mean the sources of all actions - sometimes called 'powers' by their outcomes [Breheny]