Combining Texts

All the ideas for 'works', 'Regressive Method for Premises in Mathematics' and 'Intro to Positive Philosophy'

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26 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 / D. Nature of Philosophy / 5. Aims of Philosophy / e. Philosophy as reason
17641 Discoveries in mathematics can challenge philosophy, and offer it a new foundation [Russell]
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]
2. Reason / A. Nature of Reason / 6. Coherence
17638 If one proposition is deduced from another, they are more certain together than alone [Russell]
2. Reason / B. Laws of Thought / 3. Non-Contradiction
17632 Non-contradiction was learned from instances, and then found to be indubitable [Russell]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
17640 Finding the axioms may be the only route to some new results [Russell]
17629 Which premises are ultimate varies with context [Russell]
17630 The sources of a proof are the reasons why we believe its conclusion [Russell]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
17627 It seems absurd to prove 2+2=4, where the conclusion is more certain than premises [Russell]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
17628 Arithmetic was probably inferred from relationships between physical objects [Russell]
11. Knowledge Aims / B. Certain Knowledge / 3. Fallibilism
17637 The most obvious beliefs are not infallible, as other obvious beliefs may conflict [Russell]
12. Knowledge Sources / D. Empiricism / 4. Pro-Empiricism
12108 All real knowledge rests on observed facts [Comte]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
17639 Believing a whole science is more than believing each of its propositions [Russell]
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 / C. Induction / 2. Aims of Induction
17631 Induction is inferring premises from consequences [Russell]
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]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
20239 Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche]
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 / 1. Laws of Nature
17633 The law of gravity has many consequences beyond its grounding observations [Russell]
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]