## A Peircean reduction thesis: the foundations of topological logic |

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### Contents

A Representation Theorem for Peircean | 93 |

Hypostatic Abstraction and the Reduction Theorem | 105 |

Thirdness and the Consistency of the Reduction Thesis | 117 |

Copyright | |

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### Common terms and phrases

0-adic elements 1-valent ions adicity places Adicity(B algebraic logic applying array of chorisis array of PAL assembly Cartesian Product class of n-tuples comma operator constructible containing cyclosis defined Definition defjned degenerate denotes edge count elementary derivation elements of adicity elements of PAL Enterpretation function Enterpretation of PAL existential graphs extensional f(wj finite sequences formula of QL free variables given in quantificational graphical syntax HOOKID operators hooks hypostatic abstraction identity relation integers intensional intensional semantics Interpretation involves Thirdness Join2 Joinj l)-tuples monadic relation n-adic n-tuples over Dw negation notion occurrence Peircean primitive terms Proof quantificational logic reduction thesis rela relation 91 relation expressed relation of adicity relation-simpliciter result follows semantics for PAL sequences of classes set of relations simpliciter Size(B spots superscripts system of graphical terms of PAL Theorem tion triadic relation truth values tuples vertex count well-formed formula