Sequence of Dependencies - Deepstash
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Sequence of Dependencies

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.

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Reasoning Principal

Reasoning Principal

Being a math person does not means to recite the formulas between the sines, cosines, tangents and to use logarithms and exponentials interchangeably. That's not necessarily what to think everyone should try to concentrate to understand. The main things to concentrate to ...

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Connection of Mathematics

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...

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Learn your own pace

Learn your own pace

The education often works where it's almost like riding a train from a beginning to an end, well it's such that if you have a hole somewhere in your track the train is not going to pass that hole.

The way to help to address this is to provide a way for everyone to learn at their own pace an...

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solitarycell

you don't know what you don't know. ~ Socrates

Professor Po-Shen Loh talked about mathematical reasoning and learning process that anyone can be found in math.

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Connection of Mathematics

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:

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:

  1. Surprising Work: The kind of work that involves complex rules, unexpected variables and changing environments.
  2. Social Jobs: Jobs that involve making people feel things

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