17453 | The meaning of a number isn't just the numerals leading up to it |

17452 | Ordinals can define cardinals, as the smallest ordinal that maps the set |

17457 | A basic grasp of cardinal numbers needs an understanding of equinumerosity |

17448 | In counting, numerals are used, not mentioned (as objects that have to correlated) |

17450 | Understanding 'just as many' needn't involve grasping one-one correspondence |

17451 | We can know 'just as many' without the concepts of equinumerosity or numbers |

17456 | Counting is the assignment of successively larger cardinal numbers to collections |

17455 | Is counting basically mindless, and independent of the cardinality involved? |

17459 | Frege's Theorem explains why the numbers satisfy the Peano axioms |

17454 | Children can use numbers, without a concept of them as countable objects |

17458 | Equinumerosity is not the same concept as one-one correspondence |

17449 | We can understand cardinality without the idea of one-one correspondence |