Sequence of Dependencies
Sines, cosines,and logarithms do have actual value. What they are is that they are ways to show how these basic building blocks of reasoning can be used to deduce surprising things or difficult things. In some sense they're like the historical coverages of the triumphs of mathematics, so one cannot just talk abstractly about “yes let's talk about mathematical logic”.
One reason mathematics is difficult to understand is actually because of that network of prerequisites. Math is one of these strange subjects for which the concepts are chained in sequences of dependencies.
36
297 reads
CURATED FROM
Anyone Can Be a Math Person Once They Know the Best Learning Techniques
bigthink.com
4 ideas
·1.43K reads
IDEAS CURATED BY
Professor Po-Shen Loh talked about mathematical reasoning and learning process that anyone can be found in math.
“
The idea is part of this collection:
Learn more about problemsolving with this collection
Cultivating a growth mindset and embracing challenges
Developing adaptive thinking and problem-solving skills
Effective learning frameworks and approaches
Related collections
Similar ideas to Sequence of Dependencies
Connection of Mathematics
When you have long chains there are very few starting points—very few things need to memorize. In mathematics, you have very few that you memorize and the rest you deduce as you go through, and this chain of deductions is actually what's critical.
The difference between math and other subj...
The role of synthetic a priori judgments:
- Kant introduces the concept of synthetic a priori judgments, which are propositions that are both informative and known independent of experience.
- These judgments, according to Kant, form the basis of mathematical and scientific knowledge.
- He argues that our knowledge of ma...
Futureproof Categories Of Work
The following profiles are safe from A.I. and automation:
- Surprising Work: The kind of work that involves complex rules, unexpected variables and changing environments.
- Social Jobs: Jobs that involve making people feel things
Read & Learn
20x Faster
without
deepstash
with
deepstash
with
deepstash
Personalized microlearning
—
100+ Learning Journeys
—
Access to 200,000+ ideas
—
Access to the mobile app
—
Unlimited idea saving
—
—
Unlimited history
—
—
Unlimited listening to ideas
—
—
Downloading & offline access
—
—
Supercharge your mind with one idea per day
Enter your email and spend 1 minute every day to learn something new.
I agree to receive email updates