5 Matching Annotations
  1. Last 7 days
    1. Today while listening to the song I am reminded, through reflection, upon the fact that it takes quite some self-awareness and intellectual humility to prevent the rigorous defense of uneducated opinion, especially in online intellectual communities.

      "Real knowledge is to know the extent of one's ignorance." -- Confucius

      Something that intellectuals must be aware of. We must be flexible in opinion and not defend that which we actually have no knowledge of.

      We can debate for Socratic sakes; to deepen our understanding, but not to persuade... Pitfall is one might come to believe beyond doubts that which one debates for.

      Key is to becoming more aware of our debate behavior and stop ourselves when we realize we can't actually prove that which we think.

      This is especially critical for someone in position of teacher or great advisor; he who is looken up to. People are easier to take their opinion for granted based on "authority". As an ethical intellectual we must not abuse this, either on purpose or by accident. With great power comes great responsibility.

  2. May 2024
    1. . If online courses continue to be part of the long-termstrategic plan for academic institutions, we need to consider howto teach students the skills they will need to become self-regulatedlearners. The ultimate goal is to create learning environments inwhich students are effective learners

      teaching self regulation

  3. Dec 2022
    1. My freely downloadable Beginning Mathematical Logic is a Study Guide, suggesting introductory readings beginning at sub-Masters level. Take a look at the main introductory suggestions on First-Order Logic, Computability, Set Theory as useful preparation. Tackling mid-level books will help develop your appreciation of mathematical approaches to logic.

      This is a reference to a great book "Beginning Mathematical Logic: A Study Guide [18 Feb 2022]" by Peter Smith on "Teach Yourself Logic A Study Guide (and other Book Notes)". The document itself is called "LogicStudyGuide.pdf".

      It focuses on mathematical logic and can be a gateway into understanding Gödel's incompleteness theorems.

      I found this some time ago when looking for a way to grasp the difference between first-order and second-order logics. I recall enjoying his style of writing and his commentary on the books he refers to. Both recollections still remain true after rereading some of it.

      It both serves as an intro to and recommended reading list for the following: - classical logics - first- & second-order - modal logics - model theory<br /> - non-classical logics - intuitionistic - relevant - free - plural - arithmetic, computability, and incompleteness - set theory (naïve and less naïve) - proof theory - algebras for logic - Boolean - Heyting/pseudo-Boolean - higher-order logics - type theory - homotopy type theory

  4. Sep 2020
  5. Nov 2019