Combining Texts

All the ideas for 'Defending the Axioms', 'reports of last days' and 'The Idea of the Brain'

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18 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 / 4. Axioms for Sets / j. Axiom of Choice IX
The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
If two mathematical themes coincide, that suggest a single deep truth [Maddy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
15. Nature of Minds / A. Nature of Mind / 8. Brain
There is a single mouse neuron which has 862 inputs and 626 outputs [Cobb]
The brain is not passive, and merely processing inputs; it is active, and intervenes in the world [Cobb]
22. Metaethics / B. Value / 2. Values / e. Death
If death is like a night of dreamless sleep, such nights are very pleasant [Socrates]
Men fear death as a great evil when it may be a great blessing [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]