Combining Texts

All the ideas for 'Protagoras', 'Sets, Aggregates and Numbers' and 'Intro to Positive Philosophy'

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31 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 / B. Laws of Thought / 4. Contraries
Only one thing can be contrary to something [Plato]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
How many? must first partition an aggregate into sets, and then logic fixes its number [Yourgrau]
Nothing is 'intrinsically' numbered [Yourgrau]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
Defining 'three' as the principle of collection or property of threes explains set theory definitions [Yourgrau]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
We can't use sets as foundations for mathematics if we must await results from the upper reaches [Yourgrau]
You can ask all sorts of numerical questions about any one given set [Yourgrau]
8. Modes of Existence / D. Universals / 6. Platonic Forms / c. Self-predication
If asked whether justice itself is just or unjust, you would have to say that it is just [Plato]
11. Knowledge Aims / A. Knowledge / 3. Value of Knowledge
The only real evil is loss of knowledge [Plato]
The most important things in life are wisdom and knowledge [Plato]
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 / C. Capacities of Minds / 7. Seeing Resemblance
Everything resembles everything else up to a point [Plato]
16. Persons / C. Self-Awareness / 3. Limits of Introspection
Introspection is pure illusion; we can obviously observe everything except ourselves [Comte]
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
Courage is knowing what should or shouldn't be feared [Plato]
22. Metaethics / B. Value / 2. Values / j. Evil
No one willingly and knowingly embraces evil [Plato]
22. Metaethics / C. The Good / 1. Goodness / h. Good as benefit
Some things are good even though they are not beneficial to men [Plato]
22. Metaethics / C. The Good / 3. Pleasure / c. Value of pleasure
Some pleasures are not good, and some pains are not evil [Plato]
People tend only to disapprove of pleasure if it leads to pain, or prevents future pleasure [Plato]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / d. Teaching virtue
Socrates did not believe that virtue could be taught [Plato]
Socrates is contradicting himself in claiming virtue can't be taught, but that it is knowledge [Plato]
If we punish wrong-doers, it shows that we believe virtue can be taught [Plato]
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]