Combining Texts

All the ideas for 'teaching', 'Evidentialism' and 'The iterative conception of Set'

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16 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
Speak the truth, for this alone deifies man [Pythagoras, by Porphyry]
1. Philosophy / B. History of Ideas / 2. Ancient Thought
Pythagoras discovered the numerical relation of sounds on a string [Pythagoras, by Diog. Laertius]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII
Do the Replacement Axioms exceed the iterative conception of sets? [Boolos, by Maddy]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / m. One
For Pythagoreans 'one' is not a number, but the foundation of numbers [Pythagoras, by Watson]
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
Involuntary beliefs can still be evaluated [Feldman/Conee]
13. Knowledge Criteria / B. Internal Justification / 3. Evidentialism / b. Evidentialism
Evidentialism is the view that justification is determined by the quality of the evidence [Feldman/Conee]
Beliefs should fit evidence, and if you ought to believe it, then you are justified [Feldman/Conee]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / a. Reliable knowledge
If someone rejects good criticism through arrogance, that is irrelevant to whether they have knowledge [Feldman/Conee]
22. Metaethics / B. Value / 2. Values / d. Health
Pythagoras taught that virtue is harmony, and health, and universal good, and God [Pythagoras, by Diog. Laertius]
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
For Pythagoreans, justice is simply treating all people the same [Pythagoras, by Aristotle]
26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature
For Pythagoreans the entire universe is made of numbers [Pythagoras, by Aristotle]
Pythagoreans define timeliness, justice and marriage in terms of numbers [Pythagoras, by Aristotle]
Pythagoreans think mathematical principles are the principles of all of nature [Pythagoras, by Aristotle]
Pythagoreans say things imitate numbers, but Plato says things participate in numbers [Pythagoras, by Aristotle]
When musical harmony and rhythm were discovered, similar features were seen in bodily movement [Pythagoras, by Plato]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
The modern idea of an immortal soul was largely created by Pythagoras [Pythagoras, by Watson]