Ética, Parte III, Proposição 38
If a man has begun to hate an object of his love, so that love is thoroughly destroyed, he will, causes being equal, regard it with more hatred than if he had never loved it, and his hatred will be in proportion to the strength of his former love.
Demonstração
If a man begins to hate that which he had loved, more of his appetites are put under restraint than if he had never loved it. For love is a pleasure (III. xiii. note) which a man endeavours as far as he can to render permanent (III. xxviii.); he does so by regarding the object of his love as present, and by affecting it as far as he can pleasurably; this endeavour is greater in proportion as the love is greater, and so also is the endeavour to bring about that the beloved should return his affection (III. xxxiii.). Now these endeavours are constrained by hatred towards the object of love (III. xiii. Coroll. and III. xxiii.); wherefore the lover (III. xi. note) will for this cause also be affected with pain, the more so in proportion as his love has been greater; that is, in addition to the pain caused by hatred, there is a pain caused by the fact that he has loved the object; wherefore the lover will regard the beloved with greater pain, or in other words, will hate it more than if he had never loved it, and with the more intensity in proportion as his former love was greater. Q.E.D.
Benedict de Spinoza, The Ethics (Ethica Ordine Geometrico Demonstrata), traduzido do latim por R. H. M. Elwes.
Primeira publicação em The Chief Works of Benedict de Spinoza, vol. II (London: George Bell and Sons, 1884).
Esta tradução está em domínio público nos Estados Unidos, onde foi publicada em 1884, e em todos os lugares onde o prazo de direitos autorais é a vida do autor mais 100 anos ou menos; seu tradutor morreu em 1892.
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Texto digital: Project Gutenberg eBook #3800