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Mathematical logic

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Paul G. Allen School
On Making Mathematical Proof a Business - Allen School Distinguished Lecture

Explore how Amazon leverages automated reasoning and mechanized proof search in mathematical logic for software development, with insights on challenges and future scalability.
- YouTube
- 1 hour 11 minutes
- On-Demand
- Free Video
Insights into Mathematics
The Algebra of Boole and Boolean Algebra - Key Differences - Part 1

Introduction to the Algebra of Boole, focusing on the bifield of two elements and n-tuples. Explores its role in circuit analysis and contrasts it with Boolean algebra, highlighting implications for 20th-century mathematics.
- YouTube
- 38 minutes
- On-Demand
- Free Video
Insights into Mathematics
Real Numbers as Cauchy Sequences - Limitations and Challenges - Math Foundations 114

Explores logical weaknesses in using Cauchy sequences to define real numbers, challenging traditional approaches and highlighting ambiguities in fundamental mathematical concepts.
- YouTube
- 52 minutes
- On-Demand
- Free Video
Insights into Mathematics
Dedekind Cuts and Computational Difficulties with Real Numbers - Famous Math Problems 19

Explores the challenges and misconceptions surrounding 'real numbers', examining various approaches like infinite decimals, Dedekind cuts, and Cauchy sequences, while emphasizing the importance of concrete computations in mathematics.
- YouTube
- 1 hour 10 minutes
- On-Demand
- Free Video
Churchill CompSci Talks
Kolmogorov Complexity and Gödel's Incompleteness Theorems

Explore Kolmogorov complexity, randomness, and compressibility in data, and discover their surprising connections to Gödel's incompleteness theorems in mathematical logic.
- YouTube
- 26 minutes
- On-Demand
- Free Video
IEEE
On the Existence of Algebraically Natural Proofs

Explore the concept of algebraically natural proofs in mathematics, examining their existence and implications for computational complexity theory.
- YouTube
- 23 minutes
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Centre International de Rencontres Mathématiques
Almost Periodicity from a Model-Theoretic Perspective

Delve into advanced mathematical concepts exploring almost periodicity through model theory, featuring insights from renowned mathematician Amador Martin-Pizarro.
- YouTube
- 52 minutes
- On-Demand
- Free Video
Centre International de Rencontres Mathématiques
Pseudofinite Omega-Categorical Groups

Delve into advanced mathematical concepts exploring pseudofinite omega-categorical groups, featuring insights on model theory and its applications to group theory and combinatorics.
- YouTube
- 55 minutes
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Centre International de Rencontres Mathématiques
Quasirandomness of Definable Subsets of Definable Groups in Finite Fields

Delve into advanced mathematical concepts exploring quasirandomness in definable subsets of finite field groups through expert analysis and theoretical frameworks.
- YouTube
- 54 minutes
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Hausdorff Center for Mathematics
Autoformalization - Ten Years into the Game

Explore past, present, and future approaches to autoformalization in mathematics, examining key developments and potential future directions in this evolving field.
- YouTube
- 24 minutes
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- Free Video
Hausdorff Center for Mathematics
Cueology of Proof

Explore the art and science of constructing mathematical proofs, delving into logical reasoning, problem-solving techniques, and the foundations of formal verification.
- YouTube
- 39 minutes
- On-Demand
- Free Video
Hausdorff Center for Mathematics
Autoformalisation - Bridging the Gap Between Informal and Formal Proofs

Explore autoformalisation techniques to transform informal mathematical proofs into rigorous, machine-verifiable formal proofs, enhancing theorem-proving capabilities.
- YouTube
- 34 minutes
- On-Demand
- Free Video
MUNI Seminar Series
Taming the Monster of Independence in Mathematics

Explore approaches to settling seemingly independent mathematical problems, focusing on Gödel's incompleteness theorem and the Continuum Hypothesis.
- YouTube
- 54 minutes
- On-Demand
- Free Video
Schmid College, Chapman University
The Gödel Translation: History and New Directions

Explore the Gödel translation's history, its impact on intuitionistic and modal logic, and future research directions in this advanced mathematical seminar.
- YouTube
- 1 hour 13 minutes
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Schmid College, Chapman University
Frege's Definition of Real Numbers is Consistent

Explore Frege's consistent definition of real numbers as ratios of magnitudes. Uncover how slight modifications to his original work could have preserved this groundbreaking mathematical concept.
- YouTube
- 1 hour 50 minutes
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