Sitemap - 2024 - Infinitely More

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Mutual and bi-interpretation of models

The interpretation translation

Interpretability

Permutations and combinations

What is the essential structure of the complex numbers?

Representing integers as a sum

Recursive Chess

Finite and transfinite variations of Escape!

Escape!

Throwing Darts at the Real Line

The indispensability of mathematics

What is the infinite?

Tiling problems

We can predict the future

The guessing-box puzzle

The chocolate bar problem

More pointed at than pointing

Infinitary Hat Puzzles and the Aftermath

The Axiom of Choice

Least upper bound principle and continuous induction

Quantifier elimination — Presburger arithmetic

Quantifier elimination — theory of successor

Continuity, instantaneous change, infinitesimals

Quantifier elimination — dense linear orders

Equality as logical

Are the imaginary numbers real?

Reference de re versus de dicto

Definite descriptions

What are the real numbers, really?

Stipulative definitions

Nondefinability and higher definability

Pointwise definability versus Leibnizian discernibility

Famous quotations in first-order predicate logic

Structuralism

Isomorphisms and elementary equivalence

Substructures and chains of models

Theory theory

More applications of induction

A compositional theory of truth

A formal language for first-order predicate logic

Distinguishing mathematical structures by their theories

Chaos train and monkey madness—fun with quantifiers in first-order logic

The countable random graph

An algebra of orders

Mathematical induction

The lattice of all sets of natural numbers

Lattices

The eventual domination order

The surreal numbers