Combining Texts

All the ideas for 'Against Coherence', 'Sets and Numbers' and 'reports of last days'

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23 ideas

1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
The unexamined life is not worth living for men [Socrates]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
The master science is physical objects divided into sets [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set theory (unlike the Peano postulates) can explain why multiplication is commutative [Maddy]
Standardly, numbers are said to be sets, which is neat ontology and epistemology [Maddy]
Numbers are properties of sets, just as lengths are properties of physical objects [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
Sets exist where their elements are, but numbers are more like universals [Maddy]
Number theory doesn't 'reduce' to set theory, because sets have number properties [Maddy]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
If mathematical objects exist, how can we know them, and which objects are they? [Maddy]
6. Mathematics / C. Sources of Mathematics / 5. Numbers as Adjectival
Number words are unusual as adjectives; we don't say 'is five', and numbers always come first [Maddy]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
Incoherence may be more important for enquiry than coherence [Olsson]
Coherence is the capacity to answer objections [Olsson]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / c. Coherentism critique
Mere agreement of testimonies is not enough to make truth very likely [Olsson]
Coherence is only needed if the information sources are not fully reliable [Olsson]
A purely coherent theory cannot be true of the world without some contact with the world [Olsson]
Extending a system makes it less probable, so extending coherence can't make it more probable [Olsson]
22. Metaethics / B. Value / 2. Values / e. Death
Men fear death as a great evil when it may be a great blessing [Socrates]
If death is like a night of dreamless sleep, such nights are very pleasant [Socrates]
23. Ethics / B. Contract Ethics / 8. Contract Strategies
We should not even harm someone who harms us [Socrates]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
A good man cannot be harmed, either in life or in death [Socrates]
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
One ought not to return a wrong or injury to any person, whatever the provocation [Socrates]
23. Ethics / C. Virtue Theory / 4. External Goods / c. Wealth
Wealth is good if it is accompanied by virtue [Socrates]
25. Social Practice / D. Justice / 2. The Law / a. Legal system
Will I stand up against the law, simply because I have been unjustly judged? [Socrates]
28. God / C. Attitudes to God / 5. Atheism
Socrates is accused of denying the gods, saying sun is stone and moon is earth [Socrates, by Plato]