What is the definition of mathematics? Dictionaries are content to come up with something reasonable and leave it at that, but when math folk are asked to define math in a single sentence; what would they say? It's certainly much different, sometimes more serious, sometimes much less, than the standard dictionaries. Today we'll see some one-sentence definitions of mathematics from the online community of math enthusiasts as well as historical definitions given by Bertrand Russell and Henri Poincare. In our discussions, we'll visit isomorphisms, set theory, ZFC set theory, Godel's incompleteness theorems, and more. #mathematics #maths Join Wrath of Math to get exclusive videos, lecture notes, and more: More math chats: Reddit Thread: StackExchange: #4215156 Textbooks I Like! Graph Theory: Real Analysis: Abstract Algebra: Linear Algebra: Calculus: Proofs and Set Theory: (available for free online) Statistics: Discrete Math: Number Theory: Algebra 1: Algebra 2: Precalculus: ★DONATE★ ◆ Support Wrath of Math on Patreon: ◆ Donate on PayPal: Outro music available for channel members. Follow Wrath of Math on... ● Instagram: ● TikTok: @wrathofmathedu ● X: 0:00 Intro 1:22 Definition 1 2:55 Definition 2 6:26 Dictionary Definition 8:02 Naughty Definition 13:58 Definition 5 15:05 Definition 6 16:37 Bertrand Russell's Definition 18:34 Henri Poincare's Definition 21:54 Conclusion