By the way, it occurred to me that this might leave more gaps in my knowledge than I realize, because profs know how dumb most of the students are and intentionally design tests that will have a B class average.
Yeah I definitely misinterpreted your question the first time, sorry.
I thought about this for a while and I don’t have great answers.
The amount of time it takes for me to be successful @ philosophy is one proxy for my chances of failure chances. Like if it takes 50 years that’s pretty damn close to failure, and if it takes 500 years, that’s failure. All of my answers below only hold insofar as the amount of time it takes for me to be successful @ philosophy is determined by the amount of hard work I do (though I recognize that this is only one factor, so my points are very weak).
Advantages of making philosophy a secondary focus, regarding chance of success at becoming a great philosopher:
If I keep doing what I’m doing, I won’t suddenly be presented with a swarm of new problems to solve (some of which I described in detail in this post), which could mean I can spend more time on philosophy.
It’s much less likely this way that I’ll fall into a state of depression and start playing video games for 12 hours per day or something bad like that, which could possibly mean I will spend more time on philosophy.
I have a limited capacity for hard, focused work, so having to work on physics stuff will (taken by itself) cause the time I can spend on philosophy to decrease.
edit: made significant revisions ~30 mins after I posted this
This is the kind of error that is important to post mortem (investigate underlying causes) if trying to improve at philosophy. It’s similar to how I think investigating arithmetic errors, to understand what they are and what caused them, is important if trying to improve at math (this came up above). The similarity is that they are both (as a first guess) errors in basic prerequisite skills, possibly 5+ levels distant from what you’re actually trying to do.
It’s very hard to know what bottlenecks an error effects unless you know what the root cause error is. The root cause error often causes many other downstream errors. So you can find a visible error, investigate, find an underlying error (the root cause or at least closer to it), and then figure out what its consequences are.
With arithmetic, a way to begin is by categorizing errors – trying to understand what types of errors you are and aren’t making. This helps pinpoint what’s going on.
Do you make calculation errors with addition? Subtraction? Working with negatives? Multiplication? Division? Fractions, percents, ratios, decimals? Exponents? Some of those (which?), all or none? (This is oriented towards investigating multiple errors over time. It’s easier to investigate effectively if you can find patterns.)
Are the errors from mental math? Or do they also happen with various tools (pencil and paper, text editor, whiteboard app, various math apps)?
Do you misread numbers from the problem? Do you misread or misunderstand the words in the problem?
Do you have memory errors? E.g. you think you remember a number from the problem, and use that, but actually you misremembered and should have reread it?
Do you get a correct number in your head then output it incorrectly? Does it depend on output device like talking, hand writing, typing or calculator buttons?
Are the errors happening when dealing with long numbers? Do you lose track of intermediate steps in the calculation when doing it mentally? When there are lots of steps, do you skip writing all of them down, which results in errors sometimes?
Do you have more than one process for doing arithmetic, and if so does any process have a different error rate than another? Like do you have a “careful mode” which has a lower error rate, and if so what do you differently?
Are there any differences if any other people are involved vs. you’re working alone?
These are just examples. One could come up with many more. These are aimed to be decently accessible to figure out. If you identified some problem areas more specifically than arithmetic, then you could drill down and come up with some stuff like this that’s more specific and detailed.
Here are some advantages to philosophy as a secondary focus which are relevant to success or failure at philosophy:
Less pressure to make philosophy progress. Less scary to get stuck. Got a good alternative to work on so philosophy issues can be on the back burner until you’re ready to try again, without this seeming bad.
Helps avoid problems like ivory tower philosopher, armchair philosopher, rationalist, theory disconnected from reality.
Enables problems from primary focus to drive/motivate philosophy interest, helps you care and be interested. (This works particularly well if you have strong interest in some other focus already. It would make less sense if someone was unclear on their interests or motivations, or already favored philosophy.)
Pursuing philosophy problems relevant to primary interest can help focus on good philosophy issues that actually matter.
Less resources for philosophy (time, mental energy, etc.).
More temptation to evade philosophy difficulties and retreat to your primary field.
Split-focus, multi-tasking, task switching (which you might also do with philosophy as primary focus and something else as secondary, but you could do just philosophy, or a more uneven split like 80%+ philosophy which would reduce switching. Whereas if philosophy is a secondary focus but you’re taking it seriously, then you have at least two significant focuses to go back and forth between.).
Your primary field is designed for single focus, not split focus. There will be ongoing friction.
The people in your primary field will be bad at philosophy, and the more you learn philosophy the more it’ll make you different than them and possibly lead to conflict. You’ll have a big incentive to get along with them, stay compatible with them, think about things in ways that are adequately similar to how they think, etc.
This is the kind of post that I think bystanders often kinda ignore and don’t learn much from, and also don’t say anything about. But you could take it as an example of how to look into an error and try to brainstorm things in a kinda similar way for some other type of error that you want to investigate.
Here was my reasoning for saying that arithmetic is not a bottleneck issue for me:
For exams, I basically decide what grade I’m going to get by increasing or decreasing the amount of material I study. I don’t do this quantitatively, but I meet all my goals with respect to grades. Doesn’t this show that my bottleneck is my willingness to study?
For everything else in my career (right now at least), the main issue I seem to be facing is that I don’t know wtf to work on, and it’s very hard to see how arithmetic errors could possibly be the root cause of something like that.
A context where it sounds like arithmetic errors could potentially be a bottleneck issue for me is if I get into another situation where I need to do a whole bunch of long 30 page calculations by hand, since the main problem here is the amount of time it takes me to do them. But that’s not an issue I’m facing right now.
I wasn’t thinking about bottlenecks for getting good grades or test scores (or choosing what to work on). I was thinking about the issue of understanding math and physics well. I think arithmetic errors (or their underlying causes) could be important for that.
Maybe it’s established context that 25 is “lying on the real number line,” and so the deduction of 3 from 1 could be valid, but this is a really stupid example because why would anyone define what the real number line is before you define what a real number is?
Okay, I agree in theory that such things could be bottlenecks for understanding mathematics and physics well.
But I only see it as being relevant for like, people for whom learning physics is too hard and they give up. And maybe one of the reasons why it’s too hard for them is that they make too many errors. (edit: too many arithmetic errors*)
In my own case, I don’t think there aren’t any fundamental obstacles to me learning a new piece of physics if I want to learn it. I don’t think I’ve failed to learn things that I’ve wanted to learn in physics. Maybe arithmetic could be a bottleneck if my goal was like, “learn X in one day”?