General Sum Principle #venndiagram #math

In this video, we show the general sum principle for sets (the formula for the cardinality of A union B). The key feature is that if the sets intersect, then we have to account for elements that may have been double counted.

If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualPr.... Thanks!

For a more dramatic version of this video, check out:
Sum and Product Principles for Finite... (which includes the product principle too).

If you want to learn more about these principles, check out:
Elementary Counting Principles [Discr...

A related textbook forthis is the open-source textbook by Oscar Levin:
http://discrete.openmathbooks.org/dmo...

#logic #settheory #union #propositions  #intersection #setdifference  #setminus #setconnectives #subsets #venndiagram #visualproof #math #manim #discretemathematics #sumprinciple #inclusionexclusion

To learn more about animating with manim, check out:
https://manim.community

• #education
• #math
• #manim
• #set_theory
• #inclusion_exclusion
• #venn_diagram
• #discrete_math
• #combinatorics