dorsal/arxiv
View SchemaA Quantum Logic of Down Below
| Authors | P. D. Bruza, D. Widdows, John Woods |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0612051 |
| URL | https://arxiv.org/abs/quant-ph/0612051 |
Abstract
This chapter is offered as a contribution to the logic of down below. We attempt to demonstrate that the nature of human agency necessitates that there actually be such a logic. The ensuing sections develop the suggestion that cognition down below has a structure strikingly similar to the physical structure of quantum states. In its general form, this is not an idea that originates with the present authors. It is known that there exist mathematical models from the cognitive science of cognition down below that have certain formal similarities to quantum mechanics. We want to take this idea seriously. We will propose that the subspaces of von Neumann-Birkhoff lattices are too crisp for modelling requisite cognitive aspects in relation to subsymbolic logic. Instead, we adopt an approach which relies on projections into nonorthogonal density states. The projection operator is motivated from cues which probe human memory.
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"abstract": "This chapter is offered as a contribution to the logic of down below. We\nattempt to demonstrate that the nature of human agency necessitates that there\nactually be such a logic. The ensuing sections develop the suggestion that\ncognition down below has a structure strikingly similar to the physical\nstructure of quantum states. In its general form, this is not an idea that\noriginates with the present authors. It is known that there exist mathematical\nmodels from the cognitive science of cognition down below that have certain\nformal similarities to quantum mechanics. We want to take this idea seriously.\nWe will propose that the subspaces of von Neumann-Birkhoff lattices are too\ncrisp for modelling requisite cognitive aspects in relation to subsymbolic\nlogic. Instead, we adopt an approach which relies on projections into\nnonorthogonal density states. The projection operator is motivated from cues\nwhich probe human memory.",
"arxiv_id": "quant-ph/0612051",
"authors": [
"P. D. Bruza",
"D. Widdows",
"John Woods"
],
"categories": [
"quant-ph"
],
"title": "A Quantum Logic of Down Below",
"url": "https://arxiv.org/abs/quant-ph/0612051"
},
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"source": {
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