@Randystephenson

I just want to say that I'm enrolled in a Cybersecurity Bachelor's Degree at an online college, and the instructor is not doing a good job of explaining the propositional logic, inferences, etc. I've been behind for two weeks now because I'm so thoroughly confused by the textbook and the lectures, in fact many of the things they mentioned have been proven to be false. I knew about CS50, so I figured I'd check to see if they're covering the same thing I'm trying to learn and THEY ARE. The best part is TWO WEEKS of confusion have been relieved by just watching the relevant chapters in this video. 

Thank you guys so much for making this content available for free, online, and for making it accessible and easy to interpret. You are all excellent teachers! I wish Harvard Extension School had a Bachelors of Science in Cybersecurity, because if they did I'd switch to HES in a heartbeat. The quality of instruction that I've seen in CS50 makes me assume that HES must also have excellent instruction quality.

@noushaths9732

By far the best material for AI introductory concepts. He simply outdid everyone else in YT presenting so flawlessly and with so much clarity.

@yogendrapawar1738

The way he explains without fumbling

@evachen8623

came back to this class 2 months later and many parts of it are still brain-storming

@hunterwu94

๐ŸŽฏ Key Takeaways for quick navigation:

00:00 ๐Ÿค– Introduction to the lecture on knowledge-based AI.
00:57 ๐Ÿง  Intelligence involves drawing conclusions and reasoning based on knowledge.
01:52 ๐Ÿ“š Example from Harry Potter illustrates reasoning based on knowledge.
03:19 ๐Ÿค” Logical reasoning uses information to reach conclusions.
04:17 ๐Ÿ“– Introduction to propositional logic and logical connectives (not, and, or, implication, biconditional).
06:08 โžก๏ธ Explanation of logical connectives using truth tables.
08:30 โ†”๏ธ Explanation of implication and biconditional connectives.
11:20 โ“ Clarification of implication truth table and handling of false P.
14:38 ๐ŸŒ Models, possible worlds, and truth values.
16:31 ๐Ÿง  Knowledge bases store true sentences in propositional logic.
17:56 โžก๏ธ Entailment: If alpha entails beta, alpha being true means beta must be true.
18:26 โžก๏ธ Example of entailment using if-then statements.
19:23 ๐Ÿ” Inference: Deriving new sentences from old ones using knowledge base and logical rules.
34:57 ๐Ÿง  Model checking algorithm is used to determine if a knowledge base entails a query. It involves enumerating all possible models and checking if the knowledge base and query hold true together.
36:18 ๐Ÿค– The model checking algorithm recursively checks all possible combinations of truth values for propositional symbols in the knowledge base to validate entailment.
39:12 ๐ŸŒง๏ธ Applying the model checking algorithm to a logical representation, such as in the example of determining rain in Harry's world, shows that it is possible to deduce conclusions using propositional logic.
40:39 ๐Ÿ’ก Knowledge engineering involves transforming real-world problems into logical representations with propositional symbols, allowing computers to use inference algorithms to solve those problems.
41:35 ๐Ÿ” The game "Clue" involves solving a mystery by deducing the murderer, room, and weapon from a set of cards.
42:04 ๐Ÿƒ Propositonal symbols represent possible elements in the mystery, like characters, rooms, and weapons.
44:00 ๐Ÿง  Inferences are made as cards are revealed. If a card is known or shown not to be in the envelope, it provides valuable information.
45:28 ๐Ÿ’ป Implementing the reasoning process in Python involves creating symbols for each possibility and using logical rules.
52:39 ๐Ÿ  Combining logical rules and revealed cards can lead to deductions about the contents of the envelope.
53:08 ๐Ÿ”ฎ The AI model checking algorithm can draw conclusions based on the logical rules and given information.
54:05 ๐Ÿง™โ€โ™‚๏ธ The same logical approach can be used for solving puzzles like assigning people to houses based on given clues.
59:22 ๐Ÿ“œ Knowledge about different variables and their possible states can be encoded using propositional logic, aiding in logical reasoning.
01:00:20 ๐Ÿง™โ€โ™‚๏ธ Knowledge Representation: Encoding logical statements about characters (e.g., Harry, Ron) using symbols.
01:04:37 ๐ŸŽฒ Inference Rules: Applying rules like modus ponens, and elimination, double negation elimination, implication elimination, and De Morgan's laws.
01:15:08 ๐Ÿ” Theorem Proving as Search: Treating theorem proving as a search problem, using initial state, actions (inference rules), transition model, goal test, and path cost function.
01:17:32 ๐Ÿ”— Resolution: Using unit resolution rule to resolve conflicting clauses and deduce new knowledge.
01:20:18 ๐Ÿง  Resolution rule example: Combining clauses through logical inference, resolving conflicts between clauses with complementary literals.
01:21:45 ๐Ÿงฉ Generalization of resolution rule: If we know P or Q and also know not P or R, we resolve to get Q or R, a new clause.
01:22:13 ๐Ÿ“– Clauses: Disjunction of literals, where disjunction means connected with 'or'. Conjunction means connected with 'and'.
01:23:08 ๐Ÿงฎ Conjunctive Normal Form (CNF): Logical sentences in CNF are conjunctions of clauses connected by 'and', simplifying manipulation and reasoning.
01:24:07 โš™๏ธ Converting to CNF: Eliminate biconditionals, implications, and move nots inwards using De Morgan's laws and distributive law.
01:30:35 ๐Ÿงฉ Resolution algorithm: Use resolution to check if knowledge base entails a query. Prove by contradiction, find complementary literals, generate new clauses.
01:34:18 ๐Ÿ” Example of resolution: Step-by-step resolution to prove entailment of a query using knowledge base and resolving complementary clauses.
01:40:24 ๐Ÿง™โ€โ™‚๏ธ First-order logic uses predicate symbols to express properties and relations, allowing statements like "Minerva is a person" and "Gryffindor is a house."
01:41:46 ๐Ÿค First-order logic efficiently represents binary relations like "belongs to," reducing the need for excessive symbols and enabling statements like "Minerva belongs to Gryffindor."
01:43:09 ๐Ÿ” Universal quantification (โˆ€) expresses statements true for all variable values, like "For all x, if x belongs to Gryffindor, then x does not belong to Hufflepuff."
01:44:28 โˆƒ Existential quantification represents statements true for at least one variable value, such as "There exists an x where x is a house and Minerva belongs to x."
01:45:55 โš–๏ธ Combining universal and existential quantification allows more complex statements like "For all people, there exists a house that the person belongs to."
01:46:54 ๐Ÿง  Logic systems like first-order logic help AI agents represent and reason with knowledge, aiding in drawing conclusions and making inferences based on encoded information.
01:47:23 ๐Ÿค” Future exploration includes handling uncertainty in AI systems by accounting for probabilities and extending intelligence further.

Made with HARPA AI

@TJLSUDAD

WOW!!! I'm 51 and excited about learning how to build powerful AI agents to help eliminate homelessness in New Orleans through education. Thank you for using your life to help me understand something this complexed. Much Love from New Orleans and LET'S GEAUX!

@msmnazemi

Brian and team, many thanks for sharing your knowledge with us and for your due diligence in covering this material.

@worldboy9684

Wow, this is amazing... What a masterpiece of a lecture. I'm equally informed and inspired to teach!

@bongkem2723

thanks a lot Havard and Bryan for making this course available for free, it's an amazing course.

@ishrarchowdhury4850

This is GOLD content.

@berealwithraya

Thank you so much for such an easy-to-understand approach. I love the symbol definition and logic breakdowns. Love it! :hands-yellow-heart-red:

@marzenah123

Thank you Prof. Yu! ๐Ÿ™  Your lectures are amazing.  ๐Ÿ‘

@Jayjay-l5h

This is an amazing lecture! The inference by resolution section is my favorite.

@krox477

This field is changing so fast

@viforchatgptxx

the intensity of knowledge presented in this lecture is so intense the matrix tries to absorb you through the video inferencing sometimes

@AlokVerma-kw5pt

World class lecture Thank you Bryan and team

@GenZ_01_

Brian youโ€™re great bro.
Thanks cs50 team ! 
With each lecture  Iโ€™m getting more passionate about cs

@IrfanPathan-h1g

That is the way of teaching technology โค

@AI-Neurons

Really appreciate the extraordinary work of the team behind this to create this amazing presentation. It made the concepts very eazy to understand with well explained practical examples. Many Thanks!๐Ÿ™Œ

@Ixtinct

So many topics inside one lecture :) If this is the way how students are taught in Harvard once they are graduated they should be able to calculate a route from Earth to Mars with a piece of paper and a pen :)