Philosophy of Mathematics: Ontology and Structures

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Related lectures (29)

Monstrous Moonshine Log in to Mediaspace to watch this video

Explores Monstrous Moonshine, focusing on the 1979 discovery and its mathematical connections.

Optimizing Logic Functions Log in to Mediaspace to watch this video

Covers the optimization of logic functions using Karnaugh diagrams and dealing with incomplete defined functions.

Understanding Equivalence Relations and Integer Construction Log in to Mediaspace to watch this video

Covers the construction of integers through equivalence relations and their properties in mathematics.

Introduction to Analysis Log in to Mediaspace to watch this video

Covers the basics of analysis, including proofs, sets, rational and real numbers, and the concept of infimum.

Boolean Algebra: Properties and Optimization Log in to Mediaspace to watch this video

Covers Boolean algebra properties, optimization techniques, and the importance of valid groups in Karnaugh maps.

Proofs and Sets: Applications Log in to Mediaspace to watch this video

Covers the basics of proofs, defining sets, and applications between sets.

Monster Group Construction Log in to Mediaspace to watch this video

Explores the construction of the Fischer-Greiss monster group, emphasizing its key properties and the process involved.

SR and D Latches: Logic Systems Log in to Mediaspace to watch this video

Covers the implementation of SR and D latches and flip-flops.

Sparsest Cut: ARV Theorem Log in to Mediaspace to watch this video

Covers the proof of the Bourgain's ARV Theorem, focusing on the finite set of points in a semi-metric space and the application of the ARV algorithm to find the sparsest cut in a graph.

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