34 ideas
6814 | Instead of prayer and charity, sinners pursue vain disputes and want their own personal scripture [Mohammed] |
13201 | ∈ says the whole set is in the other; ⊆ says the members of the subset are in the other [Enderton] |
13204 | The 'ordered pair' <x,y> is defined to be {{x}, {x,y}} [Enderton] |
13206 | A 'linear or total ordering' must be transitive and satisfy trichotomy [Enderton] |
13200 | Note that {Φ} =/= Φ, because Φ ∈ {Φ} but Φ ∉ Φ [Enderton] |
13199 | The empty set may look pointless, but many sets can be constructed from it [Enderton] |
13203 | The singleton is defined using the pairing axiom (as {x,x}) [Enderton] |
13202 | Fraenkel added Replacement, to give a theory of ordinal numbers [Enderton] |
13205 | We can only define functions if Choice tells us which items are involved [Enderton] |
6828 | You may break off a treaty if you fear treachery from your ally [Mohammed] |
6823 | Repay evil with good and your enemies will become friends (though this is hard) [Mohammed] |
6826 | Allah rewards those who are devout, sincere, patient, humble, charitable, chaste, and who fast [Mohammed] |
6822 | Those who avenge themselves when wronged incur no guilt [Mohammed] |
21093 | Friendship without community spirit misses out on the main part of virtue [Hume] |
21091 | It would be absurd if even a free constitution did not impose restraints, for the public good [Hume] |
21092 | Nobility either share in the power of the whole, or they compose the power of the whole [Hume] |
6833 | Punish theft in men or women by cutting off their hands [Mohammed] |
6832 | Killing a human, except as just punishment, is like killing all mankind [Mohammed] |
6825 | Do not kill except for a just cause [Mohammed] |
6811 | Allah is lord of creation, compassionate, merciful, king of judgement-day [Mohammed] |
6819 | True believers see that Allah made the night for rest and the day to give light [Mohammed] |
6818 | Allah cannot have begotten a son, as He is self-sufficient [Mohammed] |
6829 | There shall be no compulsion in religion [Mohammed] |
6821 | I created mankind that it might worship Me [Mohammed] |
6815 | Be patient with unbelievers, and leave them to the judgement of Allah [Mohammed] |
6831 | He that kills a believer by design shall burn in Hell for ever [Mohammed] |
6834 | Unbelievers try to interpret the ambiguous parts of the Koran, simply to create dissension [Mohammed] |
6827 | Make war on the unbelievers until Allah's religion reigns supreme [Mohammed] |
6817 | The Koran is certainly composed by Allah; no one could compose a chapter like it [Mohammed] |
6824 | Do not split into sects, exulting in separate beliefs [Mohammed] |
6820 | The righteous shall dwell on couches in gardens, wedded to dark-eyed houris [Mohammed] |
6812 | Heaven will be reclining on couches, eating fruit, attended by virgins [Mohammed] |
6830 | Unbelievers will have their skin repeatedly burned off in hell [Mohammed] |
6816 | The unbelievers shall drink boiling water [Mohammed] |