Combining Texts

All the ideas for 'poems', 'The Foundations of Mathematics' and 'Phaedo'

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30 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
Wisdom makes virtue and true goodness possible [Plato]
1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / b. Philosophy as transcendent
Philosophy is a purification of the soul ready for the afterlife [Plato]
2. Reason / A. Nature of Reason / 3. Pure Reason
In investigation the body leads us astray, but the soul gets a clear view of the facts [Plato]
2. Reason / A. Nature of Reason / 7. Status of Reason
The greatest misfortune for a person is to develop a dislike for argument [Plato]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / f. Axiom of Infinity V
Infinity: there is an infinity of distinguishable individuals [Ramsey]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
Reducibility: to every non-elementary function there is an equivalent elementary function [Ramsey]
5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
Either 'a = b' vacuously names the same thing, or absurdly names different things [Ramsey]
5. Theory of Logic / L. Paradox / 1. Paradox
Contradictions are either purely logical or mathematical, or they involved thought and language [Ramsey]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
If you add one to one, which one becomes two, or do they both become two? [Plato]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Formalists neglect content, but the logicists have focused on generalizations, and neglected form [Ramsey]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Formalism is hopeless, because it focuses on propositions and ignores concepts [Ramsey]
8. Modes of Existence / A. Relations / 2. Internal Relations
If Simmias is taller than Socrates, that isn't a feature that is just in Simmias [Plato]
8. Modes of Existence / D. Universals / 6. Platonic Forms / a. Platonic Forms
We must have a prior knowledge of equality, if we see 'equal' things and realise they fall short of it [Plato]
8. Modes of Existence / D. Universals / 6. Platonic Forms / b. Partaking
There is only one source for all beauty [Plato]
Other things are named after the Forms because they participate in them [Plato]
9. Objects / E. Objects over Time / 9. Ship of Theseus
The ship which Theseus took to Crete is now sent to Delos crowned with flowers [Plato]
11. Knowledge Aims / A. Knowledge / 4. Belief / d. Cause of beliefs
I just confront the evidence, and let it act on me [Ramsey]
12. Knowledge Sources / A. A Priori Knowledge / 3. Innate Knowledge / b. Recollection doctrine
People are obviously recollecting when they react to a geometrical diagram [Plato]
If we feel the inadequacy of a resemblance, we must recollect the original [Plato]
12. Knowledge Sources / A. A Priori Knowledge / 6. A Priori from Reason
To achieve pure knowledge, we must get rid of the body and contemplate things with the soul [Plato]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge
A belief is knowledge if it is true, certain and obtained by a reliable process [Ramsey]
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
To investigate the causes of things, study what is best for them [Plato]
15. Nature of Minds / A. Nature of Mind / 8. Brain
Do we think and experience with blood, air or fire, or could it be our brain? [Plato]
16. Persons / D. Continuity of the Self / 1. Identity and the Self
One soul can't be more or less of a soul than another [Plato]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
Nomos is king [Pindar]
22. Metaethics / C. The Good / 3. Pleasure / e. Role of pleasure
It is a mistake to think that the most violent pleasure or pain is therefore the truest reality [Plato]
23. Ethics / C. Virtue Theory / 4. External Goods / c. Wealth
War aims at the acquisition of wealth, because we are enslaved to the body [Plato]
26. Natural Theory / C. Causation / 2. Types of cause
Fancy being unable to distinguish a cause from its necessary background conditions! [Plato]
27. Natural Reality / E. Cosmology / 1. Cosmology
If the Earth is spherical and in the centre, it is kept in place by universal symmetry, not by force [Plato]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
Whether the soul pre-exists our body depends on whether it contains the ultimate standard of reality [Plato]