8472 | Sentential logic is consistent (no contradictions) and complete (entirely provable) |

8476 | Axiomatization simply picks from among the true sentences a few to play a special role |

8480 | S4: 'poss that poss that p' implies 'poss that p'; S5: 'poss that nec that p' implies 'nec that p' |

8474 | Unlike elementary logic, set theory is not complete |

8465 | Mereology has been exploited by some nominalists to achieve the effects of set theory |

8452 | Traditionally, universal sentences had existential import, but were later treated as conditional claims |

8475 | The substitution view of quantification says a sentence is true when there is a substitution instance |

8454 | The whole numbers are 'natural'; 'rational' numbers include fractions; the 'reals' include root-2 etc. |

8473 | The logicists held that is-a-member-of is a logical constant, making set theory part of logic |

8458 | Just individuals in Nominalism; add sets for Extensionalism; add properties, concepts etc for Intensionalism |

8457 | The Principle of Conservatism says we should violate the minimum number of background beliefs |

8471 | Three ways for 'Socrates is human' to be true are nominalist, platonist, or Montague's way |

8477 | People presume meanings exist because they confuse meaning and reference |

8484 | If two people believe the same proposition, this implies the existence of propositions |