The phrase “studied on leftist teachings,” as if it’s some kind of religion or cultist ideology, undercuts your claim.
The ability to entertain an idea without adopting it, intelligence, curiosity, and knowledge are inimical to ideological purity.
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32% were in favor of this regime. 37% were indifferent. Only 31% voted against.
So closer to 70% of people.
Why does the number of pages matter?
Please publish in a peer-review context so you can get some recognition/feedback/evaluation of your research.
Exactly, the whole point is that she wasn’t a loser at all. It was about self-perception.
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Abstract reasoning is the most “useful” intellectual ability you can have. However, the most important would be the normative insights we usually call “wisdom” (which isn’t taught but learned — for instance by reading literature and living life with curiosity). Critical thinking and other philosophy goes without saying.
You know people who use the unit circle on a regular basis? How about conic sections or the quadratic formula? These topics take months if not years to learn in school. We do so not because they’re useful in any practical sense for most people, but because they instill intuitions about how the world works.
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Most professions don’t require mathematics, and we’ve automated so much of it anyway.
Abstract versus applied math. It looks different. More like studying numberless patterns and proof methods.
Sure. And for the 90% of kids who correctly say they won’t use math, it doesn’t matter. We are doing math so they can learn to navigate formal systems of reasoning. We could honestly teach deductive logic instead, or set theory, or group theory, or finite field topology. It doesn’t have to be algebra or anything remotely practical.
Additionally, we don’t encourage kids to read books so they can become better at communicating. We push them to read so that they can have something worth communicating.
Yep. We don’t teach kids math so they can learn to do math. We do it so they can develop an intuition for abstract reasoning.
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Math exists in the minds of humans, [not animals].
This is incorrect. Every animal we’ve ever researched, including insects like bees, can do arithmetic.
Anyway, not a single one of the examples you’ve given involves second-order reasoning. These are all prosaic interactions with the environment, which is how most animas (yes, including dumb humans) experience the world.
First-order reasoning: “What is moral?” Second-order reasoning: “Do moral beliefs constitute knowledge claims?”
First-order reasoning: “One plus one is two.” Second-order reasoning: “number theory is either inconsistent or incomplete.”
First-order reasoning: “What does this word mean?” Second-order reasoning: “How do words connect with their meanings?”
The examples I gave you are extreme, but to be fair so is your confusion.
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