Predicates and Quantifiers [Discrete Math Class]
This video is not like my normal uploads. This is a supplemental video from one of my courses that I made in case students had to quarantine. This is a follow up to previous videos introducing propositional logic (mathematical propositions; logical connectives - "and", "or", "not" , the conditional and the biconditional; truth tables; logical equivalence; the DeMorgan's laws, formal implication and laws of deduction) and using these tools to solve various logic problems and puzzles. In the current video, we describe predicates as well as the existential and universal quantifiers. We investigate how changing the order of the two quantifiers might affect the corresponding proposition, and we describe the quantifier negation laws and hint at their connection to the DeMorgan's laws.
Note that this video is part of a series kept in a playlist called [Discrete Math Class]:
• Discrete Mathematics Course
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This textbook for the course is the open-source textbook by Oscar Levin:
http://discrete.openmathbooks.org/dmo...
0:00 : Predicates and Quantifiers
00:11 : Predicates and Examples
01:50 : Existential and Universal Quantifers
03:06 : A Quantifer Example
04:16 : Order of Quantifiers
07:50 : Quantifier Negation Laws
#logic #propositionallogic #truthtables #predicates #propositions #quantifiers #quantifiernegation #demorganslaws #quantifierorder #math #manim #discretemathematics #settheory
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