dorsal/arxiv
View SchemaA Spin Glass Model of Human Logic Systems
| Authors | Fariel Shafee |
|---|---|
| Categories | |
| ArXiv ID | physics/0509065 |
| URL | https://arxiv.org/abs/physics/0509065 |
| Journal | Proceedings of ECCS 05, 2006 |
Abstract
In this paper, we discuss different models for human logic systems and describe a game with nature. Godel`s incompleteness theorem is taken into account to construct a model of logical networks based on axioms obtained by symmetry breaking. We start by saying that although an agent is rational, the axioms defining different agent's logic systems need not be the same although they might have a large degree of overlap. This can be seen as each agent being coupled to a higher dimensional world by means of his perception where the couplings produce slightly different projections of the higher dimensional world to each agent. The different projections would produce slightly different concepts about the "world" to each agent and hence create a slightly differing set of axioms that each agent would use to act logically. Then we place the agents in an interacting logical network, where these axioms can be treated as spins that can be flipped as agents interact with each other and with the environment in which they are placed. Agents, who would share a common material world that they wish to use or change by using different or conflicting sets of axioms will try to flip the other agent's axioms (This can be seen by observing that as one agent acts to interact with his world as followed by his axiom, another agent's world changes as well, and the change might be contradictory to the second agent's "axioms" or "optimal world". We define an equation that allows an axiom to be flipped into an "anti axiom (the opposite or conflicting axiom)" as agents interact. All agents share an "existence" axiom by means of which they strive to perpetuate themselves or the network.
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"abstract": "In this paper, we discuss different models for human logic systems and\ndescribe a game with nature. Godel`s incompleteness theorem is taken into\naccount to construct a model of logical networks based on axioms obtained by\nsymmetry breaking. We start by saying that although an agent is rational, the\naxioms defining different agent\u0027s logic systems need not be the same although\nthey might have a large degree of overlap. This can be seen as each agent being\ncoupled to a higher dimensional world by means of his perception where the\ncouplings produce slightly different projections of the higher dimensional\nworld to each agent. The different projections would produce slightly different\nconcepts about the \"world\" to each agent and hence create a slightly differing\nset of axioms that each agent would use to act logically. Then we place the\nagents in an interacting logical network, where these axioms can be treated as\nspins that can be flipped as agents interact with each other and with the\nenvironment in which they are placed. Agents, who would share a common material\nworld that they wish to use or change by using different or conflicting sets of\naxioms will try to flip the other agent\u0027s axioms (This can be seen by observing\nthat as one agent acts to interact with his world as followed by his axiom,\nanother agent\u0027s world changes as well, and the change might be contradictory to\nthe second agent\u0027s \"axioms\" or \"optimal world\". We define an equation that\nallows an axiom to be flipped into an \"anti axiom (the opposite or conflicting\naxiom)\" as agents interact. All agents share an \"existence\" axiom by means of\nwhich they strive to perpetuate themselves or the network.",
"arxiv_id": "physics/0509065",
"authors": [
"Fariel Shafee"
],
"categories": [
"physics.soc-ph"
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"journal_ref": "Proceedings of ECCS 05, 2006",
"title": "A Spin Glass Model of Human Logic Systems",
"url": "https://arxiv.org/abs/physics/0509065"
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