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2
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0answers
260 views

Errata For Bourbaki Algebra Chapters 1 - 3

I am trying to teach myself some algebra by reading Bourbaki's Algebra (en, 2nd printing, 1998). Reading through Chapter 2, §1, I find that there are a couple of mistakes. (no. 2, paragraph (-7)) ...
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498 views

Why did Bourbaki not use universal algebra?

I have seen a discussion about Bourbaki’s usage of categories before. So let me ask a different question: why did he not use universal algebra? Well, universal algebra is not much older than category ...
3
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1answer
700 views

Elements of the history of mathematics

Is it known who actually wrote Bourbaki's Elements of the History of Mathematics?
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0answers
616 views

Regarding a proof in Bourbaki's Topological Vector Spaces

On Bourbaki's TVS Chapter IV pages 33-34, the last part of Proposition 2 can be formulated as follows: Notations: $K$ - The underlying field which is the real or complex number field; $X$ - A ...
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2answers
909 views

Possible errata in Nicolas Bourbaki's General Topology -I, Chapter 1 Exercise 2 ?

Here is the text of Exercise: 2 a) Let $X$ be an ordered set. Show that the set of intervals $\left[x, \rightarrow\right[$ (resp. $\left]\leftarrow, x\right]$) is a base of topology on $X$; ...
3
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1answer
553 views

Is there any relationship between Bourbaki's Epsilon Calculus and Lambda Calculus ? Is \lambda {x} same as \tau_{x} ? ?

Is there any relationship between Bourbaki's Epsilon Calculus and Lambda Calculus ? Whether $\lambda {x}$ is same as $\tau _{x}$ ? Are the rules of Meta-Mathematics (Criteria of Substitution, ...
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9answers
2k views

Has anyone thought about creating a formal proof wiki with verifier?

Mathematics has undergone some rather nice developments recently with the adoption of new techologies, things like on-line journals, the arXiv, this website, etc. I imagine there must be many further ...
4
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1answer
763 views

Bourbaki theory of isomorphism, examples of untransportable formulas

In their book "Theory of sets" Bourbaki suggested a general theory of isomorphism. (See also http://www.tau.ac.il/~corry/publications/articles/pdf/bourbaki-structures.pdf ) The example of an ...
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7answers
1k views

The isomorphism inference rule

Suppose we are writing very detailed proofs, absolutely without any gaps (for example, for checking proofs by computer). In such formal proofs every step (even a trivial one) must be justified. For ...
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3answers
3k views

Bourbaki's epsilon-calculus notation

Bourbaki used a very very strange notation for the epsilon-calculus consisting of $\tau$s and $\blacksquare$. In fact, that box should not be filled in, but for some reason, I can't produce a \Box. ...
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5answers
3k views

Were Bourbaki committed to set-theoretical reductionism?

A set-theoretical reductionist holds that sets are the only abstract objects, and that (e.g.) numbers are identical to sets. (Which sets? A reductionist is a relativist if she is (e.g.) indifferent ...