Combining Texts

All the ideas for 'fragments/reports', 'Knowledge and the Philosophy of Number' and 'The Koran'

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33 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]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
Predicativism says only predicated sets exist [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / e. Iterative sets
The iterative conception has to appropriate Replacement, to justify the ordinals [Hossack]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
Limitation of Size justifies Replacement, but then has to appropriate Power Set [Hossack]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / d. and
The connective 'and' can have an order-sensitive meaning, as 'and then' [Hossack]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
'Before' and 'after' are not two relations, but one relation with two orders [Hossack]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / h. Ordinal infinity
Transfinite ordinals are needed in proof theory, and for recursive functions and computability [Hossack]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
Numbers are properties, not sets (because numbers are magnitudes) [Hossack]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
We can only mentally construct potential infinities, but maths needs actual infinities [Hossack]
23. Ethics / B. Contract Ethics / 1. Contractarianism
You may break off a treaty if you fear treachery from your ally [Mohammed]
Repay evil with good and your enemies will become friends (though this is hard) [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]
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 / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
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]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]
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 / 6. Islam
Make war on the unbelievers until Allah's religion reigns supreme [Mohammed]
There shall be no compulsion in religion [Mohammed]
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]
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]