Metus est inconstans tristitia orta ex idea rei futuræ vel præteritæ de cujus eventu aliquatenus dubitamus. Vide de his scholium II propositionis 18 hujus.
Fear is an uncertain sadness born of the idea of a future or past thing about whose outcome we are to some extent hesitant. See IIIP18S2 concerning these.
EXPLICATIO: Ex his definitionibus sequitur non dari spem sine metu neque metum sine spe. Qui enim spe pendet et de rei eventu dubitat, is aliquid imaginari supponitur quod rei futuræ existentiam secludit atque adeo eatenus contristari (per propositionem 19 hujus) et consequenter dum spe pendet, metuere ut res eveniat. Qui autem contra in metu est hoc est de rei quam odit eventu dubitat, aliquid etiam imaginatur quod ejusdem rei existentiam secludit atque adeo (per propositionem 20 hujus) lætatur et consequenter eatenus spem habet ne eveniat.
From these definitions, it follows that hope does not exist without fear nor fear without hope. For whoever ponders with hope and doubts the outcome of a matter, is supposed to imagine something which excludes the existence of a future thing and to such an extent is saddened (by IIIP19) and consequently as long as one ponders with hop, fears that the thing may occur. In contrast, whoever is in fear, that is, one is hesitant about the outcome concerning a thing which one hates, also imagines something which excludes the existence of the same thing and to such an extent (by IIIP20) is overjoyed and consequently has hope to an extent that it not occur.
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