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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
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.
Philosophy
In some simple sense, mathematics may be viewed as simply an extremely useful tool. John D. Barrow however, holds a slightly different…
Logic
Many philosophers and logicians have analysed the forms of arguments and shown us that the same forms occur across many different cases…
Philosophy
What does Roger Penrose mean when he claims to “see” mathematical truths?
Philosophy
“Mathematics is the study of structures”