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Concept

Philosophy of mathematics

Related lectures (28)

Philosophy of Mathematics: Ontology and Structures

Explores the existence of mathematical objects, truth of propositions, and knowledge about them, covering Platonism, Intuitionism, Structuralism, Nominalism, Logicism, and Formalism.

Canonical Correlation Analysis: Overview

Covers Canonical Correlation Analysis, a method to find relationships between two sets of variables.

Optimization Methods: Convergence and Trade-offs

Covers optimization methods, convergence guarantees, trade-offs, and variance reduction techniques in numerical optimization.

Sets and Operations: Introduction to Mathematics

Covers the basics of sets and operations in mathematics, from set properties to advanced operations.

Introduction: Purpose of Physics, Physical Law, CMS

Introduces the purpose of physics, the role of mathematics, and the importance of observation in understanding natural phenomena.

Wiener Filtering: Theory and Applications

Covers the theory and applications of Wiener filtering in signal processing.

Generalization in Deep Learning

Explores generalization in deep learning, covering model complexity, implicit bias, and the double descent phenomenon.

Optimal Transport: From Theory to Applications

Explores the history, theory, and applications of optimal transport in various fields, showcasing its importance in solving complex mathematical problems.

Primal-dual Optimization: Fundamentals

Explores primal-dual optimization, minimax problems, and gradient descent-ascent methods for optimization algorithms.

Proof of Existence

Explores morphisms in group theory, focusing on proving their existence and uniqueness through mathematical reasoning.

Stochastic Gradient Descent: Theory and Applications

Covers the theory and applications of Stochastic Gradient Descent in machine learning models.

Logic and Truth Tables

Covers logic, truth tables, and mathematical propositions, demonstrating how to analyze logical statements.

Discriminant Analysis: Bayes Rule

Covers the Bayes discriminant rule for allocating individuals to populations based on measurements and prior probabilities.

Principal Components: Properties & Applications

Explores principal components, covariance, correlation, choice, and applications in data analysis.

Primal-dual Optimization: Extra-Gradient Method

Explores the Extra-Gradient method for Primal-dual optimization, covering nonconvex-concave problems, convergence rates, and practical performance.

Copulas: Properties and Applications

Explores copulas in multivariate statistics, covering properties, fallacies, and applications in modeling dependence structures.

Philosophical Perspectives on Exact Sciences

Covers philosophical perspectives on exact sciences, essay writing, and course schedule.

Subsets and subgroups associated with an action

Explores subsets and subgroups related to group actions on sets.

Functional Methods: Forced Harmonic Oscillator

Explores functional methods applied to the forced harmonic oscillator and external sources in various systems, such as magnetic fields and spin systems.

Mathematics of Data: Optimization Basics

Covers optimization basics, including metrics, norms, convexity, gradients, and logistic regression, with a focus on strong convexity and convergence rates.