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Math & Logic

VIDEOS

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+ Phil

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Published​

• The Arbitrariness of Symmetry in Mathematical Proofs
• Numbers as Properties
• Logic, Formal Languages, and Modality
• Referential uses of Arabic Numerals ​
• Logic and its Applications: Platonism or non-Platonism? [in Spanish] (With Otávio Bueno)
• ​Natural Numbers: different methodologies that converge in the analysis of their nature and how we understand them 
• Didactic Guide. Mathematics 1 Community (In Spanish)
• Didactic Guide. Mathematics 3. Secondary. Connect Strategies (In Spanish)​
• Mathematical Community 1. Secondary. Didactic guide (In Spanish)
• Didactic Guide, Fractal 1 Mathematics (In Spanish)

Syllabi

1. Graduate level:

• Philosophy and Logic of Modality
• Philosophy of Arithmetic

1. Undergraduate level:

• Advanced Algebra (Part 1)
• Advanced Algebra (Part 2)
• Linear Algebra (Part 1)
• Linear Algebra (Part 2)
• Topology
• Philosophy of Mathematics​

Dissertations

• Arc-like Continua, Faculty of Science, UNAM (Topology, in Spanish)

• Sudoku Knowledge, UNAM (Modal Epistemic Logic, in Spanish)

Talks

• Proyecto Gauss-Galois, Entre paradojas y fundamentos… Buscando la verdad matemática (Video)
• University of Nevada Las Vegas, Philosophy Colloquium Series, Number-Properties (2024 Program)
• University of Miami, Philosophy Department Colloquium, Modal Epistemic Logic
• Universal Inspiration 42 [Spanish] (Video)
• From Logic and Language to Sci and Tech [Spanish] (Video)
• Formal Epistemology from a Microcosm (Abstract)
• Mathematical Grounding (Presentation)
• Tailor your Logic with Modal Operators (Video)
• What Would you say to Girls and Young Women in STEM Fields? (Video)
• Admirable Mathematical Logic and its Philosophical Importance (World Logic Day)
• Logic and Metaphysics of Properties (Video)
• Mathematical Truth (Video)
• A Mathematical World (Outreach conference for high school students)
• Do you like Math? Prove it!  (Video)
• 2+2 = 4 but...I have Different Data! (Corner talks)
• Modal Logic and its Applications: A Good Extension of Standard Logic (Video)
• Challenges and Opportunities of Teaching Logic in Virtual Environments (Logic Teaching) 
• Models and Modes of Explanatory Mathematical Proofs (Program)
• The Realist (about numbers) Challenge (Abstract)
• Foundations, Paradoxes and why it is True that 2 + 2 = 4 (Video)
• Philosophical Aspects of Arithmetical Truth (Abstract)
• Numbers as Properties: Dissolving Benacerraf’s Tension (Handout)
• On Kripke’s Analysis of Natural Numbers (Response to Oliver Marshall)
• Models and Properties of Cε(X) Hyperspaces 
• Every Continuum like an Arc is a Continuum like a Ball  ​​