Combining Texts

All the ideas for 'works', 'On the Introduction of Transfinite Numbers' and 'The Koran'

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36 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Instead of prayer and charity, sinners pursue vain disputes and want their own personal scripture [Mohammed]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Von Neumann treated cardinals as a special sort of ordinal [Neumann, by Hart,WD]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
A von Neumann ordinal is a transitive set with transitive elements [Neumann, by Badiou]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / g. Von Neumann numbers
For Von Neumann the successor of n is n U {n} (rather than {n}) [Neumann, by Maddy]
Von Neumann numbers are preferred, because they continue into the transfinite [Maddy on Neumann]
Each Von Neumann ordinal number is the set of its predecessors [Neumann, by Lavine]
12. Knowledge Sources / B. Perception / 1. Perception
Our images of bodies are not produced by the bodies, but by our own minds [Augustine, by Aquinas]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Our minds grasp reality by direct illumination (rather than abstraction from experience) [Augustine, by Matthews]
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
Augustine created the modern concept of the will [Augustine, by Matthews]
22. Metaethics / B. Value / 2. Values / g. Love
Love, and do what you will [Augustine]
22. Metaethics / C. The Good / 1. Goodness / b. Types of good
Pagans produced three hundred definitions of the highest good [Augustine, by Grayling]
23. Ethics / B. Contract Ethics / 1. Contractarianism
Repay evil with good and your enemies will become friends (though this is hard) [Mohammed]
You may break off a treaty if you fear treachery from your ally [Mohammed]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Allah rewards those who are devout, sincere, patient, humble, charitable, chaste, and who fast [Mohammed]
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
Those who avenge themselves when wronged incur no guilt [Mohammed]
23. Ethics / D. Deontological Ethics / 2. Duty
Augustine said (unusually) that 'ought' does not imply 'can' [Augustine, by Matthews]
25. Social Practice / D. Justice / 3. Punishment / c. Deterrence of crime
Punish theft in men or women by cutting off their hands [Mohammed]
25. Social Practice / F. Life Issues / 1. Causing Death
Do not kill except for a just cause [Mohammed]
Killing a human, except as just punishment, is like killing all mankind [Mohammed]
28. God / A. Divine Nature / 2. Divine Nature
Allah is lord of creation, compassionate, merciful, king of judgement-day [Mohammed]
28. God / B. Proving God / 3. Proofs of Evidence / b. Teleological Proof
True believers see that Allah made the night for rest and the day to give light [Mohammed]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
Allah cannot have begotten a son, as He is self-sufficient [Mohammed]
29. Religion / B. Monotheistic Religion / 4. Christianity / d. Heresy
Augustine identified Donatism, Pelagianism and Manicheism as the main heresies [Augustine, by Matthews]
29. Religion / B. Monotheistic Religion / 6. Islam
Unbelievers try to interpret the ambiguous parts of the Koran, simply to create dissension [Mohammed]
The Koran is certainly composed by Allah; no one could compose a chapter like it [Mohammed]
Do not split into sects, exulting in separate beliefs [Mohammed]
I created mankind that it might worship Me [Mohammed]
Be patient with unbelievers, and leave them to the judgement of Allah [Mohammed]
There shall be no compulsion in religion [Mohammed]
Make war on the unbelievers until Allah's religion reigns supreme [Mohammed]
He that kills a believer by design shall burn in Hell for ever [Mohammed]
29. Religion / D. Religious Issues / 2. Immortality / d. Heaven
The righteous shall dwell on couches in gardens, wedded to dark-eyed houris [Mohammed]
Heaven will be reclining on couches, eating fruit, attended by virgins [Mohammed]
29. Religion / D. Religious Issues / 2. Immortality / e. Hell
Unbelievers will have their skin repeatedly burned off in hell [Mohammed]
The unbelievers shall drink boiling water [Mohammed]
29. Religion / D. Religious Issues / 3. Problem of Evil / b. Human Evil
Augustine said evil does not really exist, and evil is a limitation in goodness [Augustine, by Perkins]