Graduate Certificate in Philosophy of Mathematical Objects
-- viendo ahoraThe Graduate Certificate in Philosophy of Mathematical Objects is a compact, specialized course that bridges the gap between mathematical theory and philosophical inquiry. This program delves into the abstract nature of mathematical objects, their metaphysical status, and the methods used to study them.
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Detalles del Curso
• Foundations of Mathematics: Analyzing the fundamental principles that underpin mathematics, including set theory, logic, and axiomatic systems.
• Philosophy of Mathematical Objects: Examining the nature and existence of mathematical entities, such as numbers, shapes, and sets.
• Mathematical Platonism vs. Formalism: Delving into the debate between Platonic realism and formalism, which propose contrasting views on the nature of mathematical objects.
• Philosophical Analysis of Mathematical Proofs: Dissecting the structure, validity, and implications of mathematical proofs.
• Infinity and Infinitesimals: Investigating the concept of infinity in mathematics and its implications for mathematical reasoning.
• The Continuum Hypothesis: Exploring the question of whether there exists a set whose cardinality is strictly between that of the integers and the real numbers.
• Category Theory: Understanding the philosophical implications of category theory and its role in unifying different branches of mathematics.
• Mathematical Constructivism: Examining the constructivist perspective, which asserts that mathematical objects are mental constructs based on intuition and experience.
• The Interplay of Philosophy and Mathematics: Discussing the historical and ongoing interaction between philosophical and mathematical ideas.
Trayectoria Profesional
Requisitos de Entrada
- Comprensión básica de la materia
- Competencia en idioma inglés
- Acceso a computadora e internet
- Habilidades básicas de computadora
- Dedicación para completar el curso
No se requieren calificaciones formales previas. El curso está diseñado para la accesibilidad.
Estado del Curso
Este curso proporciona conocimientos y habilidades prácticas para el desarrollo profesional. Es:
- No acreditado por un organismo reconocido
- No regulado por una institución autorizada
- Complementario a las calificaciones formales
Recibirás un certificado de finalización al completar exitosamente el curso.
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Preguntas Frecuentes
Tarifa del curso
- 3-4 horas por semana
- Entrega temprana del certificado
- Inscripción abierta - comienza cuando quieras
- 2-3 horas por semana
- Entrega regular del certificado
- Inscripción abierta - comienza cuando quieras
- Acceso completo al curso
- Certificado digital
- Materiales del curso
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