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Horace Mann

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The most ignorant are the most conceited. Unless a man knows that there is something more to be known, his inference is, of course, that he knows every thing. Such a man always usurps the throne of universal knowledge, and assumes the right of deciding all possible questions. We all know that a conceited dunce will decide questions extemporaneous which would puzzle a college of philosophers, or a bench of judges. Ignorant and shallow-minded men do not see far enough to see the difficulty. But let a man know that there are things to be known, of which he is ignorant, and it is so much carved out of his domain of universal knowledge. And for all purposes of individual character, as well as of social usefulness, it is quite as important for a man to know the extent of his own ignorance as it is to know any thing else. To know how much there is that we do not know, is one of the most valuable parts of our attainments; for such knowledge becomes both a lesson of humility and a stimulus to exertion.
--
Lecture 6

 
Horace Mann

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Mathematics is the gate and key of the sciences... Neglect of mathematics works injury to all knowledge, since he who is ignorant of it cannot know the other sciences or the things of this world. And what is worse, men who are thus Ignorant are unable to perceive their own ignorance and so do not seek a remedy.

 
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By realizing that we are ignorant of the most important things, we realize at the same time that the most important thing for us, or the one thing needful, is quest for knowledge of the most important things or quest for wisdom.

 
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The philosophers have uttered very perverse ideas as regards God's Omniscience of everything besides Himself; they have stumbled in such a manner that they cannot rise again, nor can those who adopt their views. ...They continued thus: If he perceives and knows all individual things, one of the following three cases must take place: (1.) God arranges and manages human affairs well, perfectly, and faultlessly; (2.) He is overcome by obstacles, and is too weak and powerless to manage human affairs; (3.) He knows [all things] and can arrange and manage them, but leaves and abandons them, as too base, low, and vile... Those who have a knowledge of a certain thing necessarily either (1.) take care of the thing they know, and manage it, or (2.) neglect it; or (3.) while taking care of it, have not sufficient power and strength for its management, although they have the will to do so. ...the philosophers emphatically decided that of the three cases... two are inadmissible in reference to God—viz., want of power, or absence of will... Consequently there remains only the alternative that God is altogether ignorant of human affairs, or that He knows them and manages them well. ...we conclude that God has no knowledge of them in any way of for any reason. This is the argument which led philosophers to speak such blasphemous words.

 
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