EXPRESSO: Vidas

From: Subject: EXPRESSO: Vidas - Artigo Date: Sat, 18 Jan 2003 00:50:15 -0000 MIME-Version: 1.0 Content-Type: multipart/related; boundary="----=_NextPart_000_0177_01C2BE8B.907AE560"; type="text/html" X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2800.1106 This is a multi-part message in MIME format. ------=_NextPart_000_0177_01C2BE8B.907AE560 Content-Type: text/html; charset="Windows-1252" Content-Transfer-Encoding: quoted-printable Content-Location: http://segundasedicoes.expresso.pt/vidas/artigos/interior.asp?edicao=1515&id_artigo=ES41601 EXPRESSO: Vidas - Artigo

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10/11/2001

Malditos = n=FAmeros=20

Nuno = Crato

Discutiu-se muito a decis=E3o governamental = de baixar a=20 taxa m=E1xima de =E1lcool no sangue de 0,5 para 0,2 gramas = por litro.=20 Independentemente da justeza e oportunidade desta = restri=E7=E3o legal=20 aos condutores, vale a pena reflectir sobre alguns = coment=E1rios que=20 vieram a p=FAblico. Muitas declara=E7=F5es de especialistas = e de n=E3o=20 especialistas, pelo menos na forma como foram transcritas = pela=20 imprensa di=E1ria, revelam uma grande confus=E3o sobre o = papel dos=20 n=FAmeros.

Houve quem dissesse que compreendia a = decis=E3o, =ABna=20 medida em que pode conduzir a uma redu=E7=E3o da = sinistralidade=BB,=20 acrescentando imediatamente que =ABaumentar a preven=E7=E3o = seria a medida=20 correcta=BB - como se houvesse uma contradi=E7=E3o entre as = duas coisas.=20 Houve tamb=E9m quem sublinhasse que =ABa reac=E7=E3o ao = =E1lcool varia de=20 indiv=EDduo para indiv=EDduo=BB, preferindo-se uma = =ABpol=EDtica global=BB, pois=20 considerar apenas a referida taxa =E9 =ABuma perspectiva = redutora=BB.

Todas estas reflex=F5es podem parecer = profundas, mas=20 falham completamente o alvo. O problema =E9 estabelecer uma = medida=20 simples e um limite num=E9rico. Nada mais. Coment=E1rios = semelhantes=20 poderiam ser dirigidos ao direito de voto, para dar apenas = um=20 exemplo. N=E3o ser=E1 tamb=E9m uma =ABperspectiva = reducionista=BB estabelecer=20 o voto a partir dos 18 anos de idade? N=E3o haver=E1 = factores=20 individuais a considerar? N=E3o existir=E3o jovens com 17 = anos que=20 demonstram maior maturidade que adultos com 19? N=E3o se = deveria ent=E3o=20 adoptar uma =ABpol=EDtica global n=E3o redutora=BB?

Os coment=E1rios sobre o =ABreducionismo=BB = dos n=FAmeros s=E3o=20 antigos e atravessam o discurso das correntes ditas = p=F3s-modernas.=20 Opor as =ABcausas profundas=BB, as =ABvis=F5es globais=BB e = a =ABpluralidade de=20 abordagens=BB =E0 quantifica=E7=E3o e a medidas simples tem = sido um dos=20 argumentos mais usados. A dar-lhes raz=E3o, que dizer de = Kepler, que=20 reduziu a complexidade dos movimentos dos planetas a tr=EAs = leis=20 quantitativas? E que cr=E9dito se pode dar a Galileu, que = op=F4s ao=20 estudo das qualidades preconizado pelos escol=E1sticos a = formula=E7=E3o de=20 leis quantitativas sobre o movimento dos corpos? Pior ainda: = que=20 dizer da economia, que reduz a simples equa=E7=F5es a = complexidade das=20 rela=E7=F5es entre os homens?

Os economistas sabem que as medidas que = estabelecem=20 para a vida econ=F3mica s=E3o simplifica=E7=F5es da = realidade. Mas =E9 sempre=20 assim que procedem os cientistas e t=E9cnicos. O = desenvolvimento de um=20 pa=EDs n=E3o pode reduzir-se ao seu Produto Nacional Bruto, = por exemplo.=20 Mas essa medida =E9 um indicador valioso e imprescind=EDvel. = E esse=20 termo t=E9cnico - =ABindicador=BB - revela precisamente a = consci=EAncia de=20 n=E3o se tratar de uma medida perfeita, mas de uma medida = necess=E1ria.=20 O mesmo se pode dizer de quase todas as quantidades que = atravessam o=20 nosso dia a dia. Quando a meteorologia diz que a temperatura = m=E1xima=20 em Beja foi ontem de 21 graus, n=E3o est=E1 tamb=E9m a ser = =ABreducionista=BB?=20 Ter=E3o mesmo a certeza? N=E3o haver=E1 nenhum ponto da = cidade que tenha=20 registado uma temperatura superior? Afinal, eles n=E3o podem = ter=20 term=F3metros por toda a parte e a todo o momento. E a = reac=E7=E3o =E0=20 temperatura n=E3o varia de indiv=EDduo para indiv=EDduo? Que = reducionistas! Deitem fora os term=F3metros!

As objec=E7=F5es =E0 quantifica=E7=E3o podem = parecer absurdas,=20 mas s=E3o muito comuns. Ainda h=E1 poucos meses proliferavam = argumentos=20 contra a classifica=E7=E3o das escolas por esta ser = =ABsimplista=BB, por n=E3o=20 ter em conta a origem social dos alunos nem a variabilidade = dos=20 examinados. Pior: os exames seriam uma medida fal=EDvel, = feita em=20 condi=E7=F5es emotivas, n=E3o traduzindo pois o conhecimento = real dos=20 alunos. Mas a alternativa =E9 recusar a avalia=E7=E3o, = pol=EDtica=20 incomparavelmente mais perigosa, como se verificou mal se = tornaram=20 conhecidos os resultados de muitas escolas.

A ci=EAncia moderna progrediu, sobretudo = depois de=20 Galileu, gra=E7as =E0 quantifica=E7=E3o e =E0 = simplifica=E7=E3o da realidade=20 emp=EDrica, simplifica=E7=E3o que culmina na formula=E7=E3o = de leis=20 quantitativas. Na vida social, os n=FAmeros s=E3o igualmente = imprescind=EDveis. Mais: s=E3o um instrumento de cidadania. = Por que =E9=20 que h=E1 quem os amaldi=E7oe? Malditos n=FAmeros!

Pergunta:

Nos rel=F3gios, o n=FAmero 4 aparece escrito = como IIII e=20 n=E3o como IV. Porqu=EA?

Manuel F. Silva, = Covilh=E3

Resposta:N=E3o h=E1 nenhum = motivo=20 cient=EDfico, mas apenas uma raz=E3o est=E9tica. A = numera=E7=E3o romana nos=20 rel=F3gios pode produzir uma imagem muito equilibrada, com = uma=20 simetria muito razo=E1vel entre os lados esquerdo e direito. = Essa=20 quase simetria revela-se em todos os pares opostos de = n=FAmeros, com=20 excep=E7=E3o dos que marcam as cinco e as sete horas, para = os quais n=E3o=20 h=E1 alternativa. Para refor=E7ar essa simetria, = apresenta-se IIII no=20 marco das quatro horas, que assim aparece com quatro = tra=E7os,=20 equilibrando-se bem com o VIII que aparece do lado oposto. = Ora VIII=20 cont=E9m cinco tra=E7os, mas o =ABV=BB romano =E9 = habitualmente escrito com um=20 tra=E7o forte e outro fino, portanto em VIII aparecem quatro = tra=E7os=20 fortes, que se equilibram com os quatro tra=E7os fortes de = IIII. Se se=20 escrevesse IV, a simetria desapareceria.

ncrato@mail.expresso.pt

Nota: Todas as quest=F5es = que queira ver=20 respondidas devem ser enviadas ao endere=E7o electr=F3nico = acima ou ao=20 jornal Expresso.

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