29

Answers

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10

A “mother of all groups”? What kind of structures have “mother of all”s?

4

Is there a name for the smallest ordinal $\alpha$ such that $X \subseteq \alpha$

6

How many well orderings of $\aleph_0$ are there?

4

Is there an easy description of the structure of this infinite group?

6

Examples where it’s useful to know that a mathematical object belongs to some family of objects

11

Other Ring Structures on $\mathbb{Q}$

1

Characterization of infinite paths in graphs

9

Fundamental Examples

2

Model Theoretic Localization

46

Examples of common false beliefs in mathematics.

2

Does a generic normal measure extend the club filter?

4

Why is it OK to rely on the Fundamental Theorem of Arithmetic when using Gödel numbering?

2

Tarski’s caracterisation of inaccessible cardinals

3

Set Theory and Definability

4

Is the non-triviality of the algebraic dual of an infinite-dimensional vector space equivalent to the axiom of choice?

1

Is $sat(I)$ always a regular cardinal?

2

Individual mathematical objects whose study amounts to a (sub)discipline?

5

How To Present Mathematics To Non-Mathematicians?

1

A problem about posets similar to Suslin’s problem

7

Characterizing forcings that don’t add any dominating reals

2

What do you call a lattice whose meet operation preserves disjointness of subsets?

14

Aleph 0 as a large cardinal

1

Complexity of the statement ‘P is proper’

5

Normal measures and Elementary Embeddings

0

Difference between turnstile and implication

3

Equivalent definitions of $(M,P)$-genericity

3

Groups and rings which are not sets

0

Number of transitive models of set theory

3

Aren’t “oracle machines” unsound concepts?