### Abstract

We mathematically model Ignacio Matte Blanco’s principles of symmetric and asymmetric being through use of an ultrametric topology. We use for this the highly regarded 1975 book of this Chilean psychiatrist and pyschoanalyst (born 1908, died 1995). Such an ultrametric model corresponds to hierarchical clustering in the empirical data, e.g. text. We show how an ultrametric topology can be used as a mathematical model for the structure of the logic that reflects or expresses Matte Blanco’s symmetric being, and hence of the reasoning and thought processes involved in conscious reasoning or in reasoning that is lacking, perhaps entirely, in consciousness or awareness of itself. In a companion paper we study how symmetric (in the sense of Matte Blanco’s) reasoning can be demarcated in a context of symmetric and asymmetric reasoning provided by narrative text.

Language | English |
---|---|

Pages | 193-206 |

Number of pages | 14 |

Journal | P-Adic Numbers, Ultrametric Analysis, and Applications |

Volume | 4 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1 Jul 2012 |

Externally published | Yes |

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*P-Adic Numbers, Ultrametric Analysis, and Applications*, vol. 4, no. 3, pp. 193-206. https://doi.org/10.1134/S2070046612030041

**Ultrametric model of mind, I : Review.** / Murtagh, F.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Ultrametric model of mind, I

T2 - P-Adic Numbers, Ultrametric Analysis, and Applications

AU - Murtagh, F.

PY - 2012/7/1

Y1 - 2012/7/1

N2 - We mathematically model Ignacio Matte Blanco’s principles of symmetric and asymmetric being through use of an ultrametric topology. We use for this the highly regarded 1975 book of this Chilean psychiatrist and pyschoanalyst (born 1908, died 1995). Such an ultrametric model corresponds to hierarchical clustering in the empirical data, e.g. text. We show how an ultrametric topology can be used as a mathematical model for the structure of the logic that reflects or expresses Matte Blanco’s symmetric being, and hence of the reasoning and thought processes involved in conscious reasoning or in reasoning that is lacking, perhaps entirely, in consciousness or awareness of itself. In a companion paper we study how symmetric (in the sense of Matte Blanco’s) reasoning can be demarcated in a context of symmetric and asymmetric reasoning provided by narrative text.

AB - We mathematically model Ignacio Matte Blanco’s principles of symmetric and asymmetric being through use of an ultrametric topology. We use for this the highly regarded 1975 book of this Chilean psychiatrist and pyschoanalyst (born 1908, died 1995). Such an ultrametric model corresponds to hierarchical clustering in the empirical data, e.g. text. We show how an ultrametric topology can be used as a mathematical model for the structure of the logic that reflects or expresses Matte Blanco’s symmetric being, and hence of the reasoning and thought processes involved in conscious reasoning or in reasoning that is lacking, perhaps entirely, in consciousness or awareness of itself. In a companion paper we study how symmetric (in the sense of Matte Blanco’s) reasoning can be demarcated in a context of symmetric and asymmetric reasoning provided by narrative text.

KW - bi-logic

KW - hierarchy

KW - logic

KW - Matte Blanco

KW - model

KW - psycho-analysis

KW - reasoning

KW - symmetry

KW - text analysis

KW - ultrametric topology

UR - http://www.scopus.com/inward/record.url?scp=84967322053&partnerID=8YFLogxK

U2 - 10.1134/S2070046612030041

DO - 10.1134/S2070046612030041

M3 - Article

VL - 4

SP - 193

EP - 206

JO - P-Adic Numbers, Ultrametric Analysis, and Applications

JF - P-Adic Numbers, Ultrametric Analysis, and Applications

SN - 2070-0466

IS - 3

ER -