Combining Texts

All the ideas for 'works', 'Knowledge and the Philosophy of Number' and 'Intro to Positive Philosophy'

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25 ideas

1. Philosophy / B. History of Ideas / 1. History of Ideas
Our knowledge starts in theology, passes through metaphysics, and ends in positivism [Comte]
All ideas must be understood historically [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 is the final state of human intelligence [Comte]
Positivism gives up absolute truth, and seeks phenomenal laws, by reason and observation [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]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
Predicativism says only predicated sets exist [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
The iterative conception has to appropriate Replacement, to justify the ordinals [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
Limitation of Size justifies Replacement, but then has to appropriate Power Set [Hossack]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / d. and
The connective 'and' can have an order-sensitive meaning, as 'and then' [Hossack]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
'Before' and 'after' are not two relations, but one relation with two orders [Hossack]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / h. Ordinal infinity
Transfinite ordinals are needed in proof theory, and for recursive functions and computability [Hossack]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
Numbers are properties, not sets (because numbers are magnitudes) [Hossack]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
We can only mentally construct potential infinities, but maths needs actual infinities [Hossack]
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]
15. Nature of Minds / B. Features of Minds / 2. Unconscious Mind
Freud treats the unconscious as intentional and hence mental [Freud, by Searle]
16. Persons / C. Self-Awareness / 3. Limits of Introspection
Introspection is pure illusion; we can obviously observe everything except ourselves [Comte]
Freud and others have shown that we don't know our own beliefs, feelings, motive and attitudes [Freud, by Shoemaker]
18. Thought / A. Modes of Thought / 3. Emotions / a. Nature of emotions
Freud said passions are pressures of some flowing hydraulic quantity [Freud, by Solomon]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
Freud is pessimistic about human nature; it is ambivalent motive and fantasy, rather than reason [Freud, by Murdoch]
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]