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Philosophy
A Modern Day Mathematical Platonist — Alain Badiou
Alain Badiou (1937-) is a French philosopher. At one point he was the chair of Philosophy at the École normale supérieure (ENS) and founder
Philosophy
Alain Badiou (1937-) is a French philosopher. At one point he was the chair of Philosophy at the École normale supérieure (ENS) and founder
Differential Equations
An overwhelmingly large portion of our modeling of the universe is accomplished by posing and solving differential equations..
Gödel
The following piece explains a particular symbolic expression (or version) of Kurt Gödel’s first incompleteness theorem. It also includes a particular expression (or example) of a Gödel sentence (i.e., “This statement is false”)
Penrose
Roger Penrose is not only a mathematical physicist: he’s also a pure mathematician.
Logic
The position of what’s sometimes called semantic realism is that every statement is bivalent as well as being evidence-transcendent.
Logic
Canadian mathematician Simon Kochen recalled in his tribute to Kurt Gödel how during his PhD exam, he was asked to name five of Gödel’s theorems. The essence of the question was that each of the theorems either gave birth to a new branch of, or revolutionized, modern mathematical logic.
Philosophy
In some simple sense, mathematics may be viewed as simply an extremely useful tool. John D. Barrow however, holds a slightly different…
Artificial Intelligence
We are analyzing the most hype topic of the modern days, which — to our mind — has created an absolutely unfounded outlook on our way of…
Open Problem
Diving into the most notorious open question in Computer Science and its far-reaching philosophical consequences.
Philosophy
Exploring faith
Logic
Introduction to Mathematics for non-Mathematicians
Infinity
As I finished reading The Fault in Our Stars by John Green, perhaps what stood out the most was the phrase, “Some infinities are bigger…
Economics
A Debate on the Scientific or Ideological Nature of Economics
Quantum Mechanics
Everyone’s heard of Schrödinger’s Cat. But what can it tell us about the meaning of Quantum Mechanics?
Philosophy
What does Roger Penrose mean when he claims to “see” mathematical truths?
Philosophy
“Mathematics is the study of structures”