The converse domain encompasses all elements related to any member of a specified set via a particular relation. It's a…
A conservative extension adds new axioms or rules to a theory without altering the truth of existing statements. This ensures…
The comprehension schema is a fundamental principle in set theory and logic. It allows for the construction of sets by…
A philosophical and mathematical concept representing an actual, completed infinity as a whole, distinct from potential infinities that are indefinitely…
Combinatorialism posits that any arbitrary collection of elements forms a valid mathematical structure, regardless of its definability. This philosophical stance…
A bounded quantifier restricts its scope to a defined domain or set, unlike universal quantifiers. It's crucial for specifying conditions…
A binary relation defines a connection between elements of one or two sets. It's fundamental in mathematics, logic, and computer…
A bijective function is a powerful mathematical concept, acting as a perfect bridge between two sets. It's both injective (one-to-one)…
Frege's Basic Law V aimed to ground arithmetic in logic. It states that the extension of a concept is defined…
The bad company objection challenges mathematical abstractionism by highlighting the difficulty in separating valid from invalid abstractions, especially concerning Frege's…