[elbear]

Not everyone needs to be great.

What I actually want to say is that OP shouldn't feel guilty about not knowing those things. It's okay to want to master these things, if it's what you want. But it's pointless to feel bad about not knowing them.

[kragen]

Of course there is no necessity for excellence. The only necessary thing about human life is death; everything else is optional. Before your death, you can cultivate excellence in yourself, or not — many people instead cultivate hatred, addiction, or greed. There are many ways to cultivate excellence; learning is only one of them, and there are many things to learn. Mathematics, and in particular logic (which is what we are talking about here) are the foundation of all objective knowledge, but objective knowledge is not the only kind that has value.

The true philosopher, motivated by love for the truth rather than pride, is so noble in spirit that when she sees evidence that she may be in error, she immediately investigates it rather than turning away; and if she discovers that the evidence is valid, she immediately changes her position. I see such nobility so routinely among mathematicians and logicians that it is noteworthy in the rare cases where it is absent. I see it rarely outside of that field; in some fields, like psychology and theology, I do not see it at all. So I conclude — tentatively — that excellence in mathematics and logic promotes humility and nobility of spirit, which is the highest and most praiseworthy kind of excellence.

So, while I do not think the OP should feel guilty about not knowing those things, I also do not agree with the implication that there is nothing praiseworthy about knowing them.

[elbear]

Well, I agree with you. I think that pursuing our interests in mathematics, music, literature or whatever strikes our fancy is admirable. And I think it makes us happier, wiser and more humble as you say.

At the same time, I maintain that we shouldn't feel guilty if we aren't doing it that, for whatever reason. Sure, sometimes we actually want to pursuit some of these things, but don't. Maybe it's because we have a messy schedule, we can't organize ourselves to prioritize passions.

Feeling guilty does little to actually make you pursue your passions. You're better off learning about habits and how to pick ones that serve you.

[kragen]

Agreed, except that I don't think pursuing our interests in whatever strikes our fancy is admirable.

[elbear]

As long as it's not hurting someone, anything goes as far as I'm concerned.