The Church-Turing thesis posits that any function computable by a human can be computed by a Turing machine. It defines…
Church's theorem proves the undecidability of fundamental decision problems in logic, like the Entscheidungsproblem. It demonstrates that no logic can…
A category is a fundamental structure in mathematics and logic, comprising objects and the relationships (morphisms) between them. It provides…
Boolean algebra is a branch of mathematics dealing with truth values (true/false). It's fundamental to computer science, digital logic design,…
A binary function is a fundamental concept in mathematics and logic, taking exactly two inputs to produce a single output.…
Bayes' theorem is a fundamental concept in probability theory. It provides a mathematical way to update the probability of a…
The basis step, or base case, is the foundational element of a proof by mathematical induction. It establishes the truth…
The bad company objection challenges mathematical abstractionism by highlighting the difficulty in separating valid from invalid abstractions, especially concerning Frege's…
An automorphism is an isomorphism from a mathematical object to itself, preserving its structure. It represents internal symmetries within logical…
Quantifiers are symbols in logic that specify the quantity of elements in a set that satisfy a certain condition. They…