dorsal/arxiv
View SchemaLabels for non-individuals
| Authors | Adonai S. Sant'Anna |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0408168 |
| URL | https://arxiv.org/abs/quant-ph/0408168 |
| DOI | 10.1007/s10702-005-1126-3 |
Abstract
Quasi-set theory is a first order theory without identity, which allows us to cope with non-individuals in a sense. A weaker equivalence relation called ``indistinguishability'' is an extension of identity in the sense that if $x$ is identical to $y$ then $x$ and $y$ are indistinguishable, although the reciprocal is not always valid. The interesting point is that quasi-set theory provides us a useful mathematical background for dealing with collections of indistinguishable elementary quantum particles. In the present paper, however, we show that even in quasi-set theory it is possible to label objects that are considered as non-individuals. We intend to prove that individuality has nothing to do with any labelling process at all, as suggested by some authors. We discuss the physical interpretation of our results.
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"abstract": "Quasi-set theory is a first order theory without identity, which allows us to\ncope with non-individuals in a sense. A weaker equivalence relation called\n``indistinguishability\u0027\u0027 is an extension of identity in the sense that if $x$\nis identical to $y$ then $x$ and $y$ are indistinguishable, although the\nreciprocal is not always valid. The interesting point is that quasi-set theory\nprovides us a useful mathematical background for dealing with collections of\nindistinguishable elementary quantum particles. In the present paper, however,\nwe show that even in quasi-set theory it is possible to label objects that are\nconsidered as non-individuals. We intend to prove that individuality has\nnothing to do with any labelling process at all, as suggested by some authors.\nWe discuss the physical interpretation of our results.",
"arxiv_id": "quant-ph/0408168",
"authors": [
"Adonai S. Sant\u0027Anna"
],
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"quant-ph"
],
"doi": "10.1007/s10702-005-1126-3",
"title": "Labels for non-individuals",
"url": "https://arxiv.org/abs/quant-ph/0408168"
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