Logicism, Formalism, and Intuitionism
The three main contemporary ways to understand the foundations of mathematics.
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Mathematics
Is ‘Philosophy of Mathematics’ somehow useful?
What the philosophy of mathematics is useful for?
Max Black, the author of The Nature of Mathematics (1933), thought the main task of the foundation of mathematics (and, consequently the main task of any philosophy of mathematics) would be to elucidate “and analyze the notion of integer or natural number”
An Amazing Formula
Mathematics as Fiction: A Common Sense Approach
Beginner’s Guide to Mathematical Constructivism
Understanding Perpendicular Lines and Orthogonal Trajectories
The Best Numerical Derivative Approximation Formulas
The Basel Problem: 1+1/2² + 1/3² +… = π²/6
Physics
History
The Discovery of Spontaneous Radioactivity
Sweety, let me see what you got inside.
Poincaré’s Philosophy of Mathematics
You Can (Literally) Count On Me
Chess and Mathematics
Wittgenstein Didn't Absolutely Agree with Gödel’s Theorems and Russell’s Paradox
Babbage, Lovelace, and The First Computer
