Mathematics family tree
Autor(a) principal: | |
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Data de Publicação: | 2016 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFBA |
Texto Completo: | http://repositorio.ufba.br/ri/handle/ri/18964 |
Resumo: | We present a simple reasoning that explains brotherhood or fraternity in terms of an exponential growth called ?genealogy paradox?. Looking for a family tree today, the mathematics about the calculation of how many descendents were since the beginning of our Era shows that we should expect as many 604 sextilion people in the past. This occurs because a person?s ancestor tree should be a binary tree in theory, formed by the person, the first generation back with two parents, the second generation back with four grandparents, the third generation back with eight great-grandparents, and so on. Thus, there appears to be more ancestors in these early generations than people available. This astronomical number is absurd, and one explanation is related to marriages between relatives ? other reason could be related to migration. In conclusion, it is easy to observe that we are all members of a same family tree, the tree of life |
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Nascimento, Marcio Luis FerreiraBarco, LuizNascimento, Marcio Luis FerreiraBarco, Luiz2016-04-25T19:46:59Z2016-04-25T19:46:59Z201603057259http://repositorio.ufba.br/ri/handle/ri/18964We present a simple reasoning that explains brotherhood or fraternity in terms of an exponential growth called ?genealogy paradox?. Looking for a family tree today, the mathematics about the calculation of how many descendents were since the beginning of our Era shows that we should expect as many 604 sextilion people in the past. This occurs because a person?s ancestor tree should be a binary tree in theory, formed by the person, the first generation back with two parents, the second generation back with four grandparents, the third generation back with eight great-grandparents, and so on. Thus, there appears to be more ancestors in these early generations than people available. This astronomical number is absurd, and one explanation is related to marriages between relatives ? other reason could be related to migration. In conclusion, it is easy to observe that we are all members of a same family tree, the tree of lifeSubmitted by Marcio Luis Ferreira Nascimento (mlfn@ufba.br) on 2016-03-21T12:09:46Z No. of bitstreams: 1 FamilyTree-MS45-Nascimento.pdf: 74871 bytes, checksum: 7dec25ee824b0492011f0a73f52c2747 (MD5)Approved for entry into archive by LIVIA FREITAS (livia.freitas@ufba.br) on 2016-04-25T19:46:59Z (GMT) No. of bitstreams: 1 FamilyTree-MS45-Nascimento.pdf: 74871 bytes, checksum: 7dec25ee824b0492011f0a73f52c2747 (MD5)Made available in DSpace on 2016-04-25T19:46:59Z (GMT). No. of bitstreams: 1 FamilyTree-MS45-Nascimento.pdf: 74871 bytes, checksum: 7dec25ee824b0492011f0a73f52c2747 (MD5) Previous issue date: 2016-03-18CNPqUnited KingdomMatemáticaGenealogiaCrescimento exponencialReligiãoMathematics family treeArtigo de Periódicoinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionBrasilinfo:eu-repo/semantics/openAccessengreponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAORIGINALFamilyTree-MS45-Nascimento.pdfFamilyTree-MS45-Nascimento.pdfapplication/pdf74871https://repositorio.ufba.br/bitstream/ri/18964/1/FamilyTree-MS45-Nascimento.pdf7dec25ee824b0492011f0a73f52c2747MD51LICENSElicense.txtlicense.txttext/plain1345https://repositorio.ufba.br/bitstream/ri/18964/2/license.txtff6eaa8b858ea317fded99f125f5fcd0MD52TEXTFamilyTree-MS45-Nascimento.pdf.txtFamilyTree-MS45-Nascimento.pdf.txtExtracted texttext/plain10452https://repositorio.ufba.br/bitstream/ri/18964/3/FamilyTree-MS45-Nascimento.pdf.txt38cbaf14f316f32e2661dc0deea9e0a0MD53ri/189642022-10-24 19:25:57.877oai:repositorio.ufba.br:ri/18964VGVybW8gZGUgTGljZW7vv71hLCBu77+9byBleGNsdXNpdm8sIHBhcmEgbyBkZXDvv71zaXRvIG5vIFJlcG9zaXTvv71yaW8gSW5zdGl0dWNpb25hbCBkYSBVRkJBLgoKIFBlbG8gcHJvY2Vzc28gZGUgc3VibWlzc++/vW8gZGUgZG9jdW1lbnRvcywgbyBhdXRvciBvdSBzZXUgcmVwcmVzZW50YW50ZSBsZWdhbCwgYW8gYWNlaXRhciAKZXNzZSB0ZXJtbyBkZSBsaWNlbu+/vWEsIGNvbmNlZGUgYW8gUmVwb3NpdO+/vXJpbyBJbnN0aXR1Y2lvbmFsIGRhIFVuaXZlcnNpZGFkZSBGZWRlcmFsIGRhIEJhaGlhIApvIGRpcmVpdG8gZGUgbWFudGVyIHVtYSBj77+9cGlhIGVtIHNldSByZXBvc2l077+9cmlvIGNvbSBhIGZpbmFsaWRhZGUsIHByaW1laXJhLCBkZSBwcmVzZXJ2Ye+/ve+/vW8uIApFc3NlcyB0ZXJtb3MsIG7vv71vIGV4Y2x1c2l2b3MsIG1hbnTvv71tIG9zIGRpcmVpdG9zIGRlIGF1dG9yL2NvcHlyaWdodCwgbWFzIGVudGVuZGUgbyBkb2N1bWVudG8gCmNvbW8gcGFydGUgZG8gYWNlcnZvIGludGVsZWN0dWFsIGRlc3NhIFVuaXZlcnNpZGFkZS4KCiBQYXJhIG9zIGRvY3VtZW50b3MgcHVibGljYWRvcyBjb20gcmVwYXNzZSBkZSBkaXJlaXRvcyBkZSBkaXN0cmlidWnvv73vv71vLCBlc3NlIHRlcm1vIGRlIGxpY2Vu77+9YSAKZW50ZW5kZSBxdWU6CgogTWFudGVuZG8gb3MgZGlyZWl0b3MgYXV0b3JhaXMsIHJlcGFzc2Fkb3MgYSB0ZXJjZWlyb3MsIGVtIGNhc28gZGUgcHVibGljYe+/ve+/vWVzLCBvIHJlcG9zaXTvv71yaW8KcG9kZSByZXN0cmluZ2lyIG8gYWNlc3NvIGFvIHRleHRvIGludGVncmFsLCBtYXMgbGliZXJhIGFzIGluZm9ybWHvv73vv71lcyBzb2JyZSBvIGRvY3VtZW50bwooTWV0YWRhZG9zIGVzY3JpdGl2b3MpLgoKIERlc3RhIGZvcm1hLCBhdGVuZGVuZG8gYW9zIGFuc2Vpb3MgZGVzc2EgdW5pdmVyc2lkYWRlIGVtIG1hbnRlciBzdWEgcHJvZHXvv73vv71vIGNpZW5077+9ZmljYSBjb20gCmFzIHJlc3Ryae+/ve+/vWVzIGltcG9zdGFzIHBlbG9zIGVkaXRvcmVzIGRlIHBlcmnvv71kaWNvcy4KCiBQYXJhIGFzIHB1YmxpY2Hvv73vv71lcyBzZW0gaW5pY2lhdGl2YXMgcXVlIHNlZ3VlbSBhIHBvbO+/vXRpY2EgZGUgQWNlc3NvIEFiZXJ0bywgb3MgZGVw77+9c2l0b3MgCmNvbXB1bHPvv71yaW9zIG5lc3NlIHJlcG9zaXTvv71yaW8gbWFudO+/vW0gb3MgZGlyZWl0b3MgYXV0b3JhaXMsIG1hcyBtYW5077+9bSBhY2Vzc28gaXJyZXN0cml0byAKYW8gbWV0YWRhZG9zIGUgdGV4dG8gY29tcGxldG8uIEFzc2ltLCBhIGFjZWl0Ye+/ve+/vW8gZGVzc2UgdGVybW8gbu+/vW8gbmVjZXNzaXRhIGRlIGNvbnNlbnRpbWVudG8KIHBvciBwYXJ0ZSBkZSBhdXRvcmVzL2RldGVudG9yZXMgZG9zIGRpcmVpdG9zLCBwb3IgZXN0YXJlbSBlbSBpbmljaWF0aXZhcyBkZSBhY2Vzc28gYWJlcnRvLgo=Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-10-24T22:25:57Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false |
dc.title.pt_BR.fl_str_mv |
Mathematics family tree |
title |
Mathematics family tree |
spellingShingle |
Mathematics family tree Nascimento, Marcio Luis Ferreira Matemática Genealogia Crescimento exponencial Religião |
title_short |
Mathematics family tree |
title_full |
Mathematics family tree |
title_fullStr |
Mathematics family tree |
title_full_unstemmed |
Mathematics family tree |
title_sort |
Mathematics family tree |
author |
Nascimento, Marcio Luis Ferreira |
author_facet |
Nascimento, Marcio Luis Ferreira Barco, Luiz |
author_role |
author |
author2 |
Barco, Luiz |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Nascimento, Marcio Luis Ferreira Barco, Luiz Nascimento, Marcio Luis Ferreira Barco, Luiz |
dc.subject.por.fl_str_mv |
Matemática Genealogia Crescimento exponencial Religião |
topic |
Matemática Genealogia Crescimento exponencial Religião |
description |
We present a simple reasoning that explains brotherhood or fraternity in terms of an exponential growth called ?genealogy paradox?. Looking for a family tree today, the mathematics about the calculation of how many descendents were since the beginning of our Era shows that we should expect as many 604 sextilion people in the past. This occurs because a person?s ancestor tree should be a binary tree in theory, formed by the person, the first generation back with two parents, the second generation back with four grandparents, the third generation back with eight great-grandparents, and so on. Thus, there appears to be more ancestors in these early generations than people available. This astronomical number is absurd, and one explanation is related to marriages between relatives ? other reason could be related to migration. In conclusion, it is easy to observe that we are all members of a same family tree, the tree of life |
publishDate |
2016 |
dc.date.accessioned.fl_str_mv |
2016-04-25T19:46:59Z |
dc.date.available.fl_str_mv |
2016-04-25T19:46:59Z |
dc.date.issued.fl_str_mv |
2016 |
dc.type.driver.fl_str_mv |
Artigo de Periódico info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://repositorio.ufba.br/ri/handle/ri/18964 |
dc.identifier.issn.none.fl_str_mv |
03057259 |
identifier_str_mv |
03057259 |
url |
http://repositorio.ufba.br/ri/handle/ri/18964 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.publisher.country.fl_str_mv |
Brasil |
dc.source.none.fl_str_mv |
reponame:Repositório Institucional da UFBA instname:Universidade Federal da Bahia (UFBA) instacron:UFBA |
instname_str |
Universidade Federal da Bahia (UFBA) |
instacron_str |
UFBA |
institution |
UFBA |
reponame_str |
Repositório Institucional da UFBA |
collection |
Repositório Institucional da UFBA |
bitstream.url.fl_str_mv |
https://repositorio.ufba.br/bitstream/ri/18964/1/FamilyTree-MS45-Nascimento.pdf https://repositorio.ufba.br/bitstream/ri/18964/2/license.txt https://repositorio.ufba.br/bitstream/ri/18964/3/FamilyTree-MS45-Nascimento.pdf.txt |
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bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 MD5 |
repository.name.fl_str_mv |
Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA) |
repository.mail.fl_str_mv |
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1808459509911257088 |