If curiosity is a vice, how is that wrong, and furthermore, is it wrong to hunger and thirst for knowledge and then to study it, if one is a Catholic Woman?
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Summa Theologiae, Second Part of the Second Part
Studiousness (166) and its opposite vice, curiosity (167)
Question 166. Studiousness
Article 1. Whether the proper matter of studiousness is knowledge?
On the contrary, It is written (Proverbs 27:11): “Study wisdom, my son, and make my heart joyful, that thou mayest give an answer to him that reproacheth.” Now study, which is commended as a virtue, is the same as that to which the Law urges. Therefore studiousness is properly about “knowledge.”
Question 167. Curiosity
Article 1. Whether curiosity can be about intellective knowledge?
Reply to Objection 1. Man’s good consists in the knowledge of truth; yet man’s sovereign good consists, not in the knowledge of any truth, but in the perfect knowledge of the sovereign truth, as the Philosopher states (Ethic. x, 7,8). Hence there may be sin in the knowledge of certain truths, in so far as the desire of such knowledge is not directed in due manner to the knowledge of the sovereign truth, wherein supreme happiness consists.
Article 2. Whether the vice of curiosity is about sensitive knowledge?
I answer that, The knowledge of sensible things is directed to two things. For in the first place, both in man and in other animals, it is directed to the upkeep of the body, because by knowledge of this kind, man and other animals avoid what is harmful to them, and seek those things that are necessary for the body’s sustenance. On the second place, it is directed in a manner special to man, to intellective knowledge, whether speculative or practical. Accordingly to employ study for the purpose of knowing sensible things may be sinful in two ways. First, when the sensitive knowledge is not directed to something useful, but turns man away from some useful consideration. Hence Augustine says (Confess. x, 35), “I go no more to see a dog coursing a hare in the circus; but in the open country, if I happen to be passing, that coursing haply will distract me from some weighty thought, and draw me after it . . . and unless Thou, having made me see my weakness, didst speedily admonish me, I become foolishly dull.” Secondly, when the knowledge of sensible things is directed to something harmful, as looking on a woman is directed to lust: even so the busy inquiry into other people’s actions is directed to detraction. on the other hand, if one be ordinately intent on the knowledge of sensible things by reason of the necessity of sustaining nature, or for the sake of the study of intelligible truth, this studiousness about the knowledge of sensible things is virtuous.
https://www.newadvent.org/summa/3167.htm