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Zermelo–Fraenkel set theory
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Related lectures (31)
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Set Difference: Definition and Examples
Explains set difference and complement calculation with clear examples.
Hausdorff Dimension and Brownian Motion
Explores Hausdorff dimension and its application to Brownian motion sets, emphasizing the importance of understanding set dimensions in stochastic processes.
Limits and colimits: Two examples
Focuses on the pushout and pullback constructions in sets, illustrating colimits and limits with explicit examples.
The Pigeonhole Principle: Basics and Applications
Covers the Pigeonhole Principle, its applications, and examples of its guarantees.
Recap of Group Theory
Provides a recap of group theory, defining a group as a set with a multiplication operation.
Counting Basics: Set Theory and Permutations
Covers the main rules of counting for combinatorial objects and introduces various counting techniques.
Real Numbers: Sets and Operations
Covers the basics of real numbers and set theory, including subsets, intersections, unions, and set operations.
Set Theory: Introduction and Operations
Covers the foundation of mathematics through set theory concepts like membership and unions.
Set Theory: Operations and Functions
Covers set theory operations and functions, including injections and surjections.
Linear Algebra: Injective Functions
Focuses on injective functions in linear algebra, demonstrating how to verify properties and prove injectivity.